Oliver Viehmann

The quantum transverse-field Ising chain in circuit QED: effects of disorder on the nonequilibrium dynamics

  1. Oliver Viehmann,
  2. Jan von Delft,
  3. and Florian Marquardt
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.
arxiv pdf

Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED

  1. Oliver Viehmann,
  2. Jan von Delft,
  3. and Florian Marquardt
We show how a quantum Ising spin chain in a time-dependent transverse magnetic field can be simulated and experimentally probed in the framework of circuit QED with current technology.
The proposed setup provides a new platform for observing the nonequilibrium dynamics of interacting many-body systems. We calculate its spectrum to offer a guideline for its initial experimental characterization. We demonstrate that quench dynamics and the propagation of localized excitations can be observed with the proposed setup and discuss further possible applications and modifications of this circuit QED quantum simulator.
arxiv pdf