Dissipative flow equations

Lorenzo Rosso; Fernando Iemini; Marco Schirò; Leonardo Mazza

doi:10.21468/SCIPOSTPHYS.9.6.091

Dissipative flow equations

Lorenzo Rosso, Fernando Iemini, Marco Schirò, Leonardo Mazza

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	091
Journal	SciPost Physics
Volume	9
Issue number	6
DOIs	https://doi.org/10.21468/SCIPOSTPHYS.9.6.091
Publication status	Published - 1 Dec 2020
Externally published	Yes

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title = "Dissipative flow equations",

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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AU - Iemini, Fernando

AU - Schirò, Marco

AU - Mazza, Leonardo

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N2 - 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.

AB - 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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VL - 9

JO - SciPost Physics

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Dissipative flow equations

Abstract

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