The kicked rotor system is a textbook example of how classical and quantum dynamics can drastically differ. The energy of a classical particle confined to a ring and kicked periodically will increase linearly in time whereas in the quantum version the energy saturates after a finite number of kicks. The quantum system undergoes Anderson localization in angular-momentum space. Conventional wisdom says that in a many-particle system with short-range interactions the localization will be destroyed due to the coupling of widely separated momentum states. Here we provide evidence that for an interacting one-dimensional Bose gas, the Lieb-Liniger model, the dynamical localization can persist at least for an unexpectedly long time.

}, keywords = {Quantum Physics, Thermodynamics}, doi = {10.1103/PhysRevLett.124.155302}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.124.155302}, author = {Rylands, Colin and Rozenbaum, Efim B. and Galitski, Victor and Konik, Robert} } @inbook {rylands_nonequilibrium_2020, title = {Nonequilibrium {Aspects} of {Integrable} {Models}}, booktitle = {Annual Review of Condensed Matter Physics}, series = {Annual {Review} of {Condensed} {Matter} {Physics}}, volume = {11}, year = {2020}, note = {ISSN: 1947-5454 Journal Abbreviation: Annu. Rev. Condens. Matter Phys. Type: Review; Book Chapter}, pages = {147{\textendash}168}, publisher = {ANNUAL REVIEWS}, organization = {ANNUAL REVIEWS}, abstract = {Driven by breakthroughs in experimental and theoretical techniques, the study of nonequilibrium quantum physics is a rapidly expanding field with many exciting new developments. Among themanifold ways the topic can be investigated, one-dimensional systems provide a particularly fine platform. The trifecta of strongly correlated physics, powerful theoretical techniques, and experimental viability have resulted in a flurry of research activity over the past decade or so. In this review, we explore the nonequilibrium aspects of one-dimensional systems that are integrable. Through a number of illustrative examples, we discuss nonequilibrium phenomena that arise in such models, the role played by integrability, and the consequences these have for more generic systems.

}, keywords = {integrability, quantum work, quench dynamics, RG flow in time}, doi = {10.1146/annurev-conmatphys-031119-050630}, author = {Rylands, Colin and Andrei, Natan}, editor = {Marchetti, MC and Mackenzie, AP} } @article {rylands_photon-mediated_2020, title = {Photon-{Mediated} {Peierls} {Transition} of a {1D} {Gas} in a {Multimode} {Optical} {Cavity}}, journal = {Phys. Rev. Lett.}, volume = {125}, number = {1}, year = {2020}, note = {Place: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA Publisher: AMER PHYSICAL SOC Type: Article}, month = {jul}, abstract = {The Peierls instability toward a charge density wave is a canonical example of phonon-driven strongly correlated physics and is intimately related to topological quantum matter and exotic superconductivity. We propose a method for realizing an analogous photon-mediated Peierls transition, using a system of one-dimensional tubes of interacting Bose or Fermi atoms trapped inside a multimode confocal cavity. Pumping the cavity transversely engineers a cavity-mediated metal-to-insulator transition in the atomic system. For strongly interacting bosons in the Tonks-Girardeau limit, this transition can be understood (through fermionization) as being the Peierls instability. We extend the calculation to finite values of the interaction strength and derive analytic expressions for both the cavity field and mass gap. They display nontrivial power law dependence on the dimensionless matter-light coupling.

}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.125.010404}, author = {Rylands, Colin and Guo, Yudan and Lev, Benjamin L. and Keeling, Jonathan and Galitski, Victor} } @article {16911, title = {Photon-Mediated Peierls Transition of a 1D Gas in a Multimode Optical Cavity}, journal = {Phys. Rev. Lett.}, volume = {125}, year = {2020}, month = {Jul}, pages = {010404}, abstract = {The Peierls instability toward a charge density wave is a canonical example of phonon-driven strongly correlated physics and is intimately related to topological quantum matter and exotic superconductivity. We propose a method for realizing an analogous photon-mediated Peierls transition, using a system of one-dimensional tubes of interacting Bose or Fermi atoms trapped inside a multimode confocal cavity. Pumping the cavity transversely engineers a cavity-mediated metal-to-insulator transition in the atomic system. For strongly interacting bosons in the Tonks-Girardeau limit, this transition can be understood (through fermionization) as being the Peierls instability. We extend the calculation to finite values of the interaction strength and derive analytic expressions for both the cavity field and mass gap. They display nontrivial power law dependence on the dimensionless matter-light coupling.

}, doi = {10.1103/PhysRevLett.125.010404}, url = {https://link.aps.org/doi/10.1103/PhysRevLett.125.010404}, author = {Rylands, Colin and Guo, Yudan and Lev, Benjamin L. and Keeling, Jonathan and Galitski, Victor} } @article {ISI:000482580900004, title = {Quantum work of an optical lattice}, journal = {Phys. Rev. B}, volume = {100}, number = {6}, year = {2019}, month = {AUG 26}, pages = {064308}, publisher = {AMER PHYSICAL SOC}, type = {Article}, abstract = {A classic example of a quantum quench concerns the release of an interacting Bose gas from an optical lattice. The local properties of quenches such as this have been extensively studied; however, the global properties of these nonequilibrium quantum systems have received far less attention. Here we study several aspects of global nonequilibrium behavior by calculating the amount of work done by the quench as measured through the work distribution function. Using Bethe ansatz techniques, we determine the Loschmidt amplitude and work distribution function of the Lieb-Liniger gas after it is released from an optical lattice. We find the average work and its universal edge exponents from which we determine the long-time decay of the Loschmidt echo and highlight striking differences caused by the interactions as well as changes in the geometry of the system. We extend our calculation to the attractive regime of the model and show that the system exhibits properties similar to the super-Tonks-Girardeau gas. Finally, we examine the prominent role played by bound states in the work distribution and show that, with low probability, they allow for work to be extracted from the quench.}, issn = {2469-9950}, doi = {10.1103/PhysRevB.100.064308}, author = {Rylands, Colin and Andrei, Natan} }