Resummation for nonequilibrium perturbation theory and application to open quantum lattices

Andy C Y Li, F. Petruccione, Jens Koch

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

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 languageEnglish (US)
Article number021037
JournalPhysical Review X
Volume6
Issue number2
DOIs
StatePublished - 2016

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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