Lindblad Master Equations for Quantum Systems Coupled to Dissipative Bosonic Modes

Jaeger SB, Schmit T, Morigi G, Holland MJ, Betzholz R (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Physical Review Letters American Physical Society

Book Volume: 129

Article Number: 063601

Journal Issue: 6

DOI: 10.1103/PhysRevLett.129.063601

Abstract

We present a general approach to derive Lindblad master equations for a subsystem whose dynamics is coupled to dissipative bosonic modes. The derivation relies on a Schrieffer-Wolff transformation which allows us to eliminate the bosonic degrees of freedom after self-consistently determining their state as a function of the coupled quantum system. We apply this formalism to the dissipative Dicke model and derive a Lindblad master equation for the atomic spins, which includes the coherent and dissipative interactions mediated by the bosonic mode. This master equation accurately predicts the Dicke phase transition and gives the correct steady state. In addition, we compare the dynamics using exact diagonalization and numerical integration of the master equation with the predictions of semiclassical trajectories. We finally test the performance of our formalism by studying the relaxation of a NOON state and show that the dynamics captures quantum metastability.

Additional Organisation(s)

Sonderforschungsbereich/Transregio 306/1: Quantenkooperativität von Licht und Materie - QuCoLiMa

Related research project(s)

Spatio-temporal structures in interacting spin systems (D02) TRR 306: Quantenkooperativität von Licht und Materie – QuCoLiMa Jan. 1, 2021 - Dec. 31, 2024

Involved external institutions

Universität des Saarlandes (UdS) DE Germany (DE) University of Colorado System US United States (USA) (US) Huazhong University of Science & Technology CN China (CN) Technische Universität Kaiserslautern DE Germany (DE)

How to cite

APA:

Jaeger, S.B., Schmit, T., Morigi, G., Holland, M.J., & Betzholz, R. (2022). Lindblad Master Equations for Quantum Systems Coupled to Dissipative Bosonic Modes. Physical Review Letters, 129(6). https://dx.doi.org/10.1103/PhysRevLett.129.063601

MLA:

Jaeger, Simon B., et al. "Lindblad Master Equations for Quantum Systems Coupled to Dissipative Bosonic Modes." Physical Review Letters 129.6 (2022).

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