We study the dissipative propagation of quantized light in interacting Rydberg media under the conditions of electromagnetically induced transparency. Rydberg blockade physics in optically dense atomic media leads to strong dissipative interactions between single photons. The regime of high incoming photon flux constitutes a challenging many-body dissipative problem. We experimentally study in detail the pulse shapes and the second-order correlation function of the outgoing field and compare our data with simulations based on two novel theoretical approaches well-suited to treat this many-photon limit. At low incoming flux, we report good agreement between both theories and the experiment. For higher input flux, the intensity of the outgoing light is lower than that obtained from theoretical predictions. We explain this discrepancy using a simple phenomenological model taking into account pollutants, which are nearly stationary Rydberg excitations coming from the reabsorption of scattered probe photons. At high incoming photon rates, the blockade physics results in unconventional shapes of measured correlation functions.

}, keywords = {Models, Photonics}, doi = {10.1103/PhysRevResearch.2.033049}, url = {https://link.aps.org/doi/10.1103/PhysRevResearch.2.033049}, author = {Bienias, Przemyslaw and Douglas, James and Paris-Mandoki, Asaf and Titum, Paraj and Mirgorodskiy, Ivan and Tresp, Christoph and Zeuthen, Emil and Gullans, Michael J. and Manzoni, Marco and Hofferberth, Sebastian and Chang, Darrick and Gorshkov, Alexey V.} } @article {17096, title = {Quantum simulation of hyperbolic space with circuit quantum electrodynamics: From graphs to geometry}, journal = {Phys. Rev. A}, volume = {102}, year = {2020}, month = {Sep}, pages = {032208}, abstract = {We show how quantum many-body systems on hyperbolic lattices with nearest-neighbor hopping and local interactions can be mapped onto quantum field theories in continuous negatively curved space. The underlying lattices have recently been realized experimentally with superconducting resonators and therefore allow for a table-top quantum simulation of quantum physics in curved background. Our mapping provides a computational tool to determine observables of the discrete system even for large lattices, where exact diagonalization fails. As an application and proof of principle we quantitatively reproduce the ground state energy, spectral gap, and correlation functions of the noninteracting lattice system by means of analytic formulas on the Poincar{\'e} disk, and show how conformal symmetry emerges for large lattices. This sets the stage for studying interactions and disorder on hyperbolic graphs in the future. Importantly, our analysis reveals that even relatively small discrete hyperbolic lattices emulate the continuous geometry of negatively curved space, and thus can be used to experimentally resolve fundamental open problems at the interface of interacting many-body systems, quantum field theory in curved space, and quantum gravity.

}, keywords = {hyperbolic geometry, quantum simulation}, doi = {10.1103/PhysRevA.102.032208}, url = {https://link.aps.org/doi/10.1103/PhysRevA.102.032208}, author = {Boettcher, Igor and Bienias, Przemyslaw and Belyansky, Ron and Kollar, Alicia J. and Gorshkov, Alexey V.} } @article {19026, title = {Symmetry Breaking and Error Correction in Open Quantum Systems}, journal = {Phys. Rev. Lett.}, volume = {125}, year = {2020}, month = {Dec}, pages = {240405}, abstract = {Symmetry-breaking transitions are a well-understood phenomenon of closed quantum systems in quantum optics, condensed matter, and high energy physics. However, symmetry breaking in open systems is less thoroughly understood, in part due to the richer steady-state and symmetry structure that such systems possess. For the prototypical open system{\textemdash}a Lindbladian{\textemdash}a unitary symmetry can be imposed in a {\textquotedblleft}weak{\textquotedblright} or a {\textquotedblleft}strong{\textquotedblright} way. We characterize the possible\ Zn\ symmetry-breaking transitions for both cases. In the case of\ Z2, a weak-symmetry-broken phase guarantees at most a classical bit steady-state structure, while a strong-symmetry-broken phase admits a partially protected steady-state qubit. Viewing photonic cat qubits through the lens of strong-symmetry breaking, we show how to dynamically recover the logical information after any gap-preserving strong-symmetric error; such recovery becomes perfect exponentially quickly in the number of photons. Our study forges a connection between driven-dissipative phase transitions and error correction.

}, doi = {10.1103/PhysRevLett.125.240405}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.125.240405}, author = {Lieu, Simon and Belyansky, Ron and Young, Jeremy T. and Lundgren, Rex and Albert, Victor V. and Gorshkov, Alexey V.} } @article {14826, title = {Interference of Temporally Distinguishable Photons Using Frequency-Resolved Detection}, journal = {Phys. Rev. Lett.}, volume = {123}, year = {2019}, month = {Sep}, pages = {123603}, doi = {10.1103/PhysRevLett.123.123603}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.123.123603}, author = {Orre, Venkata Vikram and Goldschmidt, Elizabeth A. and Deshpande, Abhinav and Gorshkov, Alexey V. and Tamma, Vincenzo and Hafezi, Mohammad and Mittal, Sunil} } @article {ISI:000474892400001, title = {Locality and Digital Quantum Simulation of Power-Law Interactions}, journal = {Phys. Rev. X}, volume = {9}, number = {3}, year = {2019}, month = {JUL 10}, pages = {031006}, publisher = {AMER PHYSICAL SOC}, type = {Article}, abstract = {The propagation of information in nonrelativistic quantum systems obeys a speed limit known as a Lieb-Robinson bound. We derive a new Lieb-Robinson bound for systems with interactions that decay with distance r as a power law, 1/r(alpha). The bound implies an effective light cone tighter than all previous bounds. Our approach is based on a technique for approximating the time evolution of a system, which was first introduced as part of a quantum simulation algorithm by Haah et al., FOCS{\textquoteright} 18. To bound the error of the approximation, we use a known Lieb-Robinson bound that is weaker than the bound we establish. This result brings the analysis full circle, suggesting a deep connection between Lieb-Robinson bounds and digital quantum simulation. In addition to the new Lieb-Robinson bound, our analysis also gives an error bound for the Haah et al. quantum simulation algorithm when used to simulate power-law decaying interactions. In particular, we show that the gate count of the algorithm scales with the system size better than existing algorithms when alpha > 3D (where D is the number of dimensions).}, issn = {2160-3308}, doi = {10.1103/PhysRevX.9.031006}, author = {Tran, Minh C. and Guo, Andrew Y. and Su, Yuan and Garrison, James R. and Eldredge, Zachary and Foss-Feig, Michael and Childs, Andrew M. and Gorshkov, Alexey V.} } @article {ISI:000485202800004, title = {Probing Ground-State Phase Transitions through Quench Dynamics}, journal = {Phys. Rev. Lett.}, volume = {123}, number = {11}, year = {2019}, month = {SEP 11}, pages = {115701}, publisher = {AMER PHYSICAL SOC}, type = {Article}, abstract = {The study of quantum phase transitions requires the preparation of a many-body system near its ground state, a challenging task for many experimental systems. The measurement of quench dynamics, on the other hand, is now a routine practice in most cold atom platforms. Here we show that quintessential ingredients of quantum phase transitions can be probed directly with quench dynamics in integrable and nearly integrable systems. As a paradigmatic example, we study global quench dynamics in a transverse-field Ising model with either short-range or long-range interactions. When the model is integrable, we discover a new dynamical critical point with a nonanalytic signature in the short-range correlators. The location of the dynamical critical point matches that of the quantum critical point and can be identified using a finite-time scaling method. We extend this scaling picture to systems near integrability and demonstrate the continued existence of a dynamical critical point detectable at prethermal timescales. We quantify the difference in the locations of the dynamical and quantum critical points away from (but near) integrability. Thus, we demonstrate that this method can be used to approximately locate the quantum critical point near integrability. The scaling method is also relevant to experiments with finite time and system size, and our predictions are testable in near-term experiments with trapped ions and Rydberg atoms.}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.123.115701}, author = {Titum, Paraj and Iosue, Joseph T. and Garrison, James R. and Gorshkov, Alexey V. and Gong, Zhe-Xuan} } @article {10551, title = {Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics}, journal = {Phys. Rev. Lett.}, volume = {121}, year = {2018}, month = {Dec}, pages = {250404}, doi = {10.1103/PhysRevLett.121.250404}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.121.250404}, author = {Liu, Fangli and Garrison, James R. and Deng, Dong-Ling and Gong, Zhe-Xuan and Gorshkov, Alexey V.} } @article {ISI:000426249900005, title = {Dissipation-induced dipole blockade and antiblockade in driven Rydberg systems}, journal = {PHYSICAL REVIEW A}, volume = {97}, number = {2}, year = {2018}, month = {FEB 28}, pages = {023424}, publisher = {AMER PHYSICAL SOC}, type = {Article}, abstract = {We study theoretically and experimentally the competing blockade and antiblockade effects induced by spontaneously generated contaminant Rydberg atoms in driven Rydberg systems. These contaminant atoms provide a source of strong dipole-dipole interactions and play a crucial role in the system{\textquoteright}s behavior. We study this problem theoretically using two different approaches. The first is a cumulant expansion approximation, in which we ignore third-order and higher connected correlations. Using this approach for the case of resonant drive, a many-body blockade radius picture arises, and we find qualitative agreement with previous experimental results. We further predict that as the atomic density is increased, the Rydberg population{\textquoteright}s dependence on Rabi frequency will transition from quadratic to linear dependence at lower Rabi frequencies. We study this behavior experimentally by observing this crossover at two different atomic densities. We confirm that the larger density system has a smaller crossover Rabi frequency than the smaller density system. The second theoretical approach is a set of phenomenological inhomogeneous rate equations. We compare the results of our rate-equation model to the experimental observations {[}E. A. Goldschmidt et al., Phys. Rev. Lett. 116, 113001 (2016)] and find that these rate equations provide quantitatively good scaling behavior of the steady-state Rydberg population for both resonant and off-resonant drives.}, \%\%Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, issn = {2469-9926}, doi = {10.1103/PhysRevA.97.023424}, author = {Young, Jeremy T. and Boulier, Thomas and Magnan, Eric and Goldschmidt, Elizabeth A. and Wilson, Ryan M. and Rolston, Steven L. and Porto, James V. and Gorshkov, Alexey V.} } @article {10101, title = {Dynamical Phase Transitions in Sampling Complexity}, journal = {Phys. Rev. Lett.}, volume = {121}, year = {2018}, month = {Jul}, pages = {030501}, doi = {10.1103/PhysRevLett.121.030501}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.121.030501}, author = {Deshpande, Abhinav and Fefferman, Bill and Tran, Minh C. and Foss-Feig, Michael and Gorshkov, Alexey V.} } @article {10546, title = {Fractional Quantum Hall Phases of Bosons with Tunable Interactions: From the Laughlin Liquid to a Fractional Wigner Crystal}, journal = {Phys. Rev. Lett.}, volume = {121}, year = {2018}, month = {Dec}, pages = {253403}, doi = {10.1103/PhysRevLett.121.253403}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.121.253403}, author = {Gra{\ss}, Tobias and Bienias, Przemyslaw and Gullans, Michael J. and Lundgren, Rex and Maciejko, Joseph and Gorshkov, Alexey V.} } @article {ISI:000425116200042, title = {Observation of three-photon bound states in a quantum nonlinear medium}, journal = {SCIENCE}, volume = {359}, number = {6377}, year = {2018}, month = {FEB 16}, pages = {783-786}, publisher = {AMER ASSOC ADVANCEMENT SCIENCE}, type = {Article}, abstract = {Bound states of massive particles, such as nuclei, atoms, or molecules, constitute the bulk of the visible world around us. By contrast, photons typically only interact weakly. We report the observation of traveling three-photon bound states in a quantum nonlinear medium where the interactions between photons are mediated by atomic Rydberg states. Photon correlation and conditional phase measurements reveal the distinct bunching and phase features associated with three-photon and two-photon bound states. Such photonic trimers and dimers possess shape-preserving wave functions that depend on the constituent photon number. The observed bunching and strongly nonlinear optical phase are described by an effective field theory of Rydberg-induced photon-photon interactions. These observations demonstrate the ability to realize and control strongly interacting quantum many-body states of light.}, \%Address = {1200 NEW YORK AVE, NW, WASHINGTON, DC 20005 USA}, issn = {0036-8075}, doi = {10.1126/science.aao7293}, author = {Liang, Qi-Yu and Venkatramani, Aditya V. and Cantu, Sergio H. and Nicholson, Travis L. and Gullans, Michael J. and Gorshkov, Alexey V. and Thompson, Jeff D. and Chin, Cheng and Lukin, Mikhail D. and Vuletic, Vladan} } @article {ISI:000430543700006, title = {Optimal and secure measurement protocols for quantum sensor networks}, journal = {PHYSICAL REVIEW A}, volume = {97}, number = {4}, year = {2018}, month = {APR 23}, pages = {042337}, publisher = {AMER PHYSICAL SOC}, type = {Article}, abstract = {Studies of quantum metrology have shown that the use of many-body entangled states can lead to an enhancement in sensitivity when compared with unentangled states. In this paper, we quantify the metrological advantage of entanglement in a setting where the measured quantity is a linear function of parameters individually coupled to each qubit. We first generalize the Heisenberg limit to the measurement of nonlocal observables in a quantum network, deriving a bound based on the multiparameter quantum Fisher information. We then propose measurement protocols that can make use of Greenberger-Horne-Zeilinger (GHZ) states or spin-squeezed states and show that in the case of GHZ states the protocol is optimal, i.e., it saturates our bound. We also identify nanoscale magnetic resonance imaging as a promising setting for this technology.}, \%\%Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, issn = {2469-9926}, doi = {10.1103/PhysRevA.97.042337}, author = {Eldredge, Zachary and Foss-Feig, Michael and Gross, Jonathan A. and Rolston, S. L. and Gorshkov, Alexey V.} } @article {ISI:000419619800004, title = {Spectrum Estimation of Density Operators with Alkaline-Earth Atoms}, journal = {PHYSICAL REVIEW LETTERS}, volume = {120}, number = {2}, year = {2018}, month = {JAN 9}, pages = {025301}, publisher = {AMER PHYSICAL SOC}, type = {Article}, abstract = {We show that Ramsey spectroscopy of fermionic alkaline-earth atoms in a square-well trap provides an efficient and accurate estimate for the eigenspectrum of a density matrix whose n copies are stored in the nuclear spins of n such atoms. This spectrum estimation is enabled by the high symmetry of the interaction Hamiltonian, dictated, in turn, by the decoupling of the nuclear spin from the electrons and by the shape of the square-well trap. Practical performance of this procedure and its potential applications to quantum computing and time keeping with alkaline-earth atoms are discussed.}, \%\%Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.120.025301}, author = {Beverland, Michael E. and Haah, Jeongwan and Alagic, Gorjan and Campbell, Gretchen K. and Rey, Ana Maria and Gorshkov, Alexey V.} } @article { ISI:000454419500004, title = {Unitary entanglement construction in hierarchical networks}, journal = {PHYSICAL REVIEW A}, volume = {98}, number = {6}, year = {2018}, month = {DEC 26}, pages = {062328}, abstract = {The construction of large-scale quantum computers will require modular architectures that allow physical resources to be localized in easy-to-manage packages. In this work we examine the impact of different graph structures on the preparation of entangled states. We begin by explaining a formal framework, the hierarchical product, in which modular graphs can be easily constructed. This framework naturally leads us to suggest a class of graphs, which we dub hierarchies. We argue that such graphs have favorable properties for quantum information processing, such as a small diameter and small total edge weight, and use the concept of Pareto efficiency to identify promising quantum graph architectures. We present numerical and analytical results on the speed at which large entangled states can be created on nearest-neighbor grids and hierarchy graphs. We also present a scheme for performing circuit placement-the translation from circuit diagrams to machine qubits-on quantum systems whose connectivity is described by hierarchies.}, issn = {2469-9926}, doi = {10.1103/PhysRevA.98.062328}, author = {Bapat, Aniruddha and Eldredge, Zachary and Garrison, James R. and Deshpande, Abhinav and Chong, Frederic T. and Gorshkov, Alexey V.} } @article { ISI:000405197700004, title = {Continuous Symmetry Breaking in 1D Long-Range Interacting Quantum Systems}, journal = {PHYSICAL REVIEW LETTERS}, volume = {119}, number = {2}, year = {2017}, month = {JUL 11}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.119.023001}, author = {Maghrebi, Mohammad F. and Gong, Zhe-Xuan and Gorshkov, Alexey V.} } @article { ISI:000406334600006, title = {Correlated Photon Dynamics in Dissipative Rydberg Media}, journal = {PHYSICAL REVIEW LETTERS}, volume = {119}, number = {4}, year = {2017}, month = {JUL 26}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.119.043602}, author = {Zeuthen, Emil and Gullans, Michael J. and Maghrebi, Mohammad F. and Gorshkov, Alexey V.} } @article { ISI:000406665400001, title = {Entanglement Area Laws for Long-Range Interacting Systems}, journal = {PHYSICAL REVIEW LETTERS}, volume = {119}, number = {5}, year = {2017}, month = {JUL 31}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.119.050501}, author = {Gong, Zhe-Xuan and Foss-Feig, Michael and Brandao, Fernando G. S. L. and Gorshkov, Alexey V.} } @article {ISI:000400772100005, title = {Exactly soluble model of boundary degeneracy}, journal = {PHYSICAL REVIEW B}, volume = {95}, number = {4}, year = {2017}, month = {JAN 25}, abstract = {We investigate the topological degeneracy that can be realized in Abelian fractional quantum spin Hall states with multiply connected gapped boundaries. Such a topological degeneracy (also dubbed as {\textquoteleft}{\textquoteleft}boundary degeneracy{{\textquoteright}{\textquoteright}}) does not require superconducting proximity effect and can be created by simply applying a depletion gate to the quantum spin Hall material and using a generic spin-mixing term (e.g., due to backscattering) to gap out the edge modes. We construct an exactly soluble microscopic model manifesting this topological degeneracy and solve it using the recently developed technique {[}S. Ganeshan and M. Levin, Phys. Rev. B 93, 075118 (2016)]. The corresponding string operators spanning this degeneracy are explicitly calculated. It is argued that the proposed scheme is experimentally reasonable.}, issn = {2469-9950}, doi = {10.1103/PhysRevB.95.045309}, author = {Ganeshan, Sriram and Gorshkov, Alexey V. and Gurarie, Victor and Galitski, Victor M.} } @article { ISI:000413663300001, title = {Fast Quantum State Transfer and Entanglement Renormalization Using Long-Range Interactions}, journal = {PHYSICAL REVIEW LETTERS}, volume = {119}, number = {17}, year = {2017}, month = {OCT 25}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.119.170503}, author = {Eldredge, Zachary and Gong, Zhe-Xuan and Young, Jeremy T. and Moosavian, Ali Hamed and Foss-Feig, Michael and Gorshkov, Alexey V.} } @article { ISI:000416232300009, title = {Lieb-Robinson bounds on n-partite connected correlation functions}, journal = {PHYSICAL REVIEW A}, volume = {96}, number = {5}, year = {2017}, month = {NOV 27}, issn = {2469-9926}, doi = {10.1103/PhysRevA.96.052334}, author = {Tran, Minh Cong and Garrison, James R. and Gong, Zhe-Xuan and Gorshkov, Alexey V.} } @article {ISI:000400050700001, title = {Multicritical behavior in dissipative Ising models}, journal = {PHYSICAL REVIEW A}, volume = {95}, number = {4}, year = {2017}, month = {APR 26}, abstract = {We analyze theoretically the many-body dynamics of a dissipative Ising model in a transverse field using a variational approach. We find that the steady-state phase diagram is substantially modified compared to its equilibrium counterpart, including the appearance of a multicritical point belonging to a different universality class. Building on our variational analysis, we establish a field-theoretical treatment corresponding to a dissipative variant of a Ginzburg-Landau theory, which allows us to compute the upper critical dimension of the system. Finally, we present a possible experimental realization of the dissipative Ising model using ultracold Rydberg gases.}, issn = {2469-9926}, doi = {10.1103/PhysRevA.95.042133}, author = {Overbeck, Vincent R. and Maghrebi, Mohammad F. and Gorshkov, Alexey V. and Weimer, Hendrik} } @article {7481, title = {Observation of prethermalization in long-range interacting spin chains}, journal = {Science Advances}, volume = {3}, year = {2017}, abstract = {Although statistical mechanics describes thermal equilibrium states, these states may or may not emerge dynamically for a subsystem of an isolated quantum many-body system. For instance, quantum systems that are near-integrable usually fail to thermalize in an experimentally realistic time scale, and instead relax to quasi-stationary prethermal states that can be described by statistical mechanics, when approximately conserved quantities are included in a generalized Gibbs ensemble (GGE). We experimentally study the relaxation dynamics of a chain of up to 22 spins evolving under a long-range transverse-field Ising Hamiltonian following a sudden quench. For sufficiently long-range interactions, the system relaxes to a new type of prethermal state that retains a strong memory of the initial conditions. However, the prethermal state in this case cannot be described by a standard GGE; it rather arises from an emergent double-well potential felt by the spin excitations. This result shows that prethermalization occurs in a broader context than previously thought, and reveals new challenges for a generic understanding of the thermalization of quantum systems, particularly in the presence of long-range interactions.

}, doi = {10.1126/sciadv.1700672}, url = {http://advances.sciencemag.org/content/3/8/e1700672}, author = {Neyenhuis, Brian and Zhang, Jiehang and Hess, Paul W. and Smith, Jacob and Lee, Aaron C. and Richerme, Phil and Gong, Zhe-Xuan and Gorshkov, Alexey V. and Monroe, Christopher} } @article { ISI:000414424700002, title = {Solvable Family of Driven-Dissipative Many-Body Systems}, journal = {PHYSICAL REVIEW LETTERS}, volume = {119}, number = {19}, year = {2017}, month = {NOV 6}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.119.190402}, author = {Foss-Feig, Michael and Young, Jeremy T. and Albert, Victor V. and Gorshkov, Alexey V. and Maghrebi, Mohammad F.} } @article {ISI:000372413300003, title = {Causality and quantum criticality in long-range lattice models}, journal = {PHYSICAL REVIEW B}, volume = {93}, number = {12}, year = {2016}, month = {MAR 17}, pages = {125128}, chapter = {125128}, issn = {2469-9950}, doi = {10.1103/PhysRevB.93.125128}, author = {Maghrebi, Mohammad F. and Gong, Zhe-Xuan and Foss-Feig, Michael and Gorshkov, Alexey V.} } @article {ISI:000382794600007, title = {Collective phases of strongly interacting cavity photons}, journal = {PHYSICAL REVIEW A}, volume = {94}, number = {3}, year = {2016}, month = {SEP 1}, pages = {033801}, issn = {2469-9926}, doi = {10.1103/PhysRevA.94.033801}, author = {Wilson, Ryan M. and Mahmud, Khan W. and Hu, Anzi and Gorshkov, Alexey V. and Hafezi, Mohammad and Foss-Feig, Michael} } @article { ISI:000369216400001, title = {Nonequilibrium many-body steady states via Keldysh formalism}, journal = {PHYSICAL REVIEW B}, volume = {93}, number = {1}, year = {2016}, month = {JAN 27}, pages = {014307}, chapter = {014307}, issn = {2469-9950}, doi = {10.1103/PhysRevB.93.014307}, author = {Maghrebi, Mohammad F. and Gorshkov, Alexey V.} } @article {ISI:000375524900002, title = {Realizing exactly solvable SU(N) magnets with thermal atoms}, journal = {PHYSICAL REVIEW A}, volume = {93}, number = {5}, year = {2016}, month = {MAY 6}, pages = {051601}, issn = {2469-9926}, doi = {10.1103/PhysRevA.93.051601}, author = {Beverland, Michael E. and Alagic, Gorjan and Martin, Michael J. and Koller, Andrew P. and Rey, Ana M. and Gorshkov, Alexey V.} } @article {ISI:000388814500011, title = {Self-organization of atoms coupled to a chiral reservoir}, journal = {PHYSICAL REVIEW A}, volume = {94}, number = {5}, year = {2016}, month = {NOV 29}, pages = {053855}, abstract = {Tightly confined modes of light, as in optical nanofibers or photonic crystal waveguides, can lead to large optical coupling in atomic systems, which mediates long-range interactions between atoms. These one-dimensional systems can naturally possess couplings that are asymmetric between modes propagating in different directions. Strong long-range interaction among atoms via these modes can drive them to a self-organized periodic distribution. In this paper, we examine the self-organizing behavior of atoms in one dimension coupled to a chiral reservoir. We determine the solution to the equations of motion in different parameter regimes, relative to both the detuning of the pump laser that initializes the atomic dipole-dipole interactions and the degree of reservoir chirality. In addition, we calculate possible experimental signatures such as reflectivity from self-organized atoms and motional sidebands.}, issn = {2469-9926}, doi = {10.1103/PhysRevA.94.053855}, author = {Eldredge, Zachary and Solano, Pablo and Chang, Darrick and Gorshkov, Alexey V.} } @article { ISI:000352058600004, title = {Fractional quantum Hall states of Rydberg polaritons}, journal = {PHYSICAL REVIEW A}, volume = {91}, number = {3}, year = {2015}, month = {MAR 31}, pages = {033838}, issn = {1050-2947}, doi = {10.1103/PhysRevA.91.033838}, author = {Maghrebi, Mohammad F. and Yao, Norman Y. and Hafezi, Mohammad and Pohl, Thomas and Firstenberg, Ofer and Gorshkov, Alexey V.} } @article {2878, title = {Nearly Linear Light Cones in Long-Range Interacting Quantum Systems}, journal = {Phys. Rev. Lett.}, volume = {114}, year = {2015}, month = {Apr}, pages = {157201}, doi = {10.1103/PhysRevLett.114.157201}, url = {http://link.aps.org/doi/10.1103/PhysRevLett.114.157201}, author = {Foss-Feig, Michael and Gong, Zhe-Xuan and Clark, Charles W. and Gorshkov, Alexey V.} } @article { ISI:000343769400004, title = {Kitaev Chains with Long-Range Pairing}, journal = {PHYSICAL REVIEW LETTERS}, volume = {113}, number = {15}, year = {2014}, month = {OCT 9}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.113.156402}, author = {Vodola, Davide and Lepori, Luca and Ercolessi, Elisa and Gorshkov, Alexey V. and Guido Pupillo} } @article { ISI:000338649800038, title = {Non-local propagation of correlations in quantum systems with long-range interactions}, journal = {NATURE}, volume = {511}, number = {7508}, year = {2014}, month = {JUL 10}, pages = {198+}, issn = {0028-0836}, doi = {10.1038/nature13450}, author = {Richerme, Philip and Gong, Zhe-Xuan and Lee, Aaron and Senko, Crystal and Smith, Jacob and Foss-Feig, Michael and michalakis, spyridon and Gorshkov, Alexey V. and Monroe, Christopher} } @article { ISI:000339096600003, title = {Persistence of Locality in Systems with Power-Law Interactions}, journal = {PHYSICAL REVIEW LETTERS}, volume = {113}, number = {3}, year = {2014}, month = {JUL 16}, pages = {030602}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.113.030602}, author = {Gong, Zhe-Xuan and Foss-Feig, Michael and michalakis, spyridon and Gorshkov, Alexey V.} } @article { ISI:000343225200007, title = {QUANTUM GASES The high-symmetry switch}, journal = {NATURE PHYSICS}, volume = {10}, number = {10}, year = {2014}, month = {OCT}, pages = {708-709}, issn = {1745-2473}, doi = {10.1038/nphys3107}, author = {Gorshkov, Alexey V.} }