The quantum transverse-field Ising chain in circuit QED: effects of disorder on the nonequilibrium dynamics
arXiv:1301.3778 · doi:10.1088/1367-2630/15/3/035013
Abstract
We study several dynamical properties of a recently proposed implementation of the quantum transverse-field Ising chain in the framework of circuit QED. Particular emphasis is placed on the effects of disorder on the nonequilibrium behavior of the system. We show that small amounts of fabrication-induced disorder in the system parameters do not jeopardize the observation of previously-predicted phenomena. Based on a numerical extraction of the mean free path of the system, we also provide a simple quantitative estimate for certain disorder effects on the nonequilibrium dynamics of the circuit QED quantum simulator. We discuss the transition from weak to strong disorder, characterized by the onset of Anderson localization of the system's wave functions, and the qualitatively different dynamics it leads to.
28 pages, 8 figures, version as published
References in corpus (15)
- Charge insensitive qubit design derived from the Cooper pair box
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Quantum phase transitions of light
- Quantum Quench in the Transverse Field Ising Chain
- Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
- Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
- Effective thermal dynamics following a quantum quench in a spin chain
- Demonstrating a Driven Reset Protocol of a Superconducting Qubit
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Dynamical Correlations after a Quantum Quench
- Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
- On the phase transition of light in cavity QED lattices
- Quantum relaxation after a quench in systems with boundaries
- Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED
- Circuit QED and sudden phase switching in a superconducting qubit array