4.7 Article

Resummation for Nonequilibrium Perturbation Theory and Application to Open Quantum Lattices

期刊

PHYSICAL REVIEW X
卷 6, 期 2, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevX.6.021037

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资金

  1. NSF [PHY-1055993, PHY11-25915]
  2. South African Research Chair Initiative of the Department of Science and Technology
  3. National Research Foundation
  4. Direct For Mathematical & Physical Scien
  5. Division Of Physics [1055993] Funding Source: National Science Foundation

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Lattice models 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 this method 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 quantum simulators, such as circuit-QED lattices, currently being investigated experimentally.

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