Quantum control and simulation with 2-dimensional arrays of trapped ions
Trapped ions, when cooled to sufficiently low temperatures form crystalline arrays. I will describe our efforts to extend the quantum control techniques developed with linear chains of ions in rf traps to two-dimensional triangular arrays of hundreds of ions formed in a Penning trap. Penning traps use a uniform magnetic field and static electric fields to confine charged particles. Our qubit is the 124 GHz electron spin-flip transition in the ground state of Be+ in the 4.5 T magnetic field of the Penning trap. We control the spins with an effective transverse magnetic field generated with 124 GHz microwaves. Spin-dependent optical dipole forces are used to engineer long range Ising interactions between the ion qubits, and to characterize the motional degrees of freedom of the trapped ions. This system has the potential for simulating quantum non-equilibrium phenomena with an intractable number of spins.
Host: Luis Orozco