Abstract
Latticemodels of fermions, bosons, and spins have long served to elucidate the essential physics of quantum phase transitions in a variety of systems. Generalizing such models to incorporate driving and dissipation has opened new vistas to investigate nonequilibrium phenomena and dissipative phase transitions in interacting many-body systems. We present a framework for the treatment of such open quantum lattices based on a resummation scheme for the Lindblad perturbation series. Employing a convenient diagrammatic representation, we utilize thismethod to obtain relevant observables for the open Jaynes-Cummings lattice, a model of special interest for open-system quantum simulation. We demonstrate that the resummation framework allows us to reliably predict observables for both finite and infinite Jaynes-Cummings lattices with different lattice geometries. The resummation of the Lindblad perturbation series can thus serve as a valuable tool in validating open quantumsimulators, such as circuit-QED lattices, currently being investigated experimentally.
Original language | English (US) |
---|---|
Article number | 021037 |
Journal | Physical Review X |
Volume | 6 |
Issue number | 2 |
DOIs | |
State | Published - 2016 |
ASJC Scopus subject areas
- Physics and Astronomy(all)