Dissipative flow equations

2020/07/31 by Lorenzo Rosso, Fernando Iemini, Marco Schirò +1
Physics and Astronomy · #Diagonal #Dissipative operator #Dissipative system #Flow (mathematics) #Master equation #Matrix (chemical analysis) #Operator (biology) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat.quant-gas #cond-mat.str-el #quant-ph

paper · pdf · doi:10.21468/scipostphys.9.6.091

published as SciPost Phys. 9, 091 (2020) · 22 pages plus appendices, 9 figures. Typos in Sec. 2.2 and appendix A corrected

openalex created_date 2020/07/29 · arxiv created 2020/12/18 · openalex publication_date 2020/12/29 · arxiv updated 2020/12/30 · openalex updated_date 2026/08/06

Abstract

We generalize the theory of flow equations to open quantum systems focusing on Lindblad master equations. We introduce and discuss three different generators of the flow that transform a linear non-Hermitian operator into a diagonal one. We first test our dissipative flow equations on a generic matrix and on a physical problem with a driven-dissipative single fermionic mode. We then move to problems with many fermionic modes and discuss the interplay between coherent (disordered) dynamics and localized losses. Our method can also be applied to non-Hermitian Hamiltonians.

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