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Spectral and steady-state properties of random Liouvillians
ID Sá, Lucas (Author), ID Ribeiro, Pedro (Author), ID Prosen, Tomaž (Author)

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Abstract
We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation channels (jump operators) and a random Hamiltonian. We establish that the global spectral features, the spectral gap, and the steady-state properties follow three different regimes as a function of the dissipation strength, whose boundaries depend on the particular quantity. Within each regime, we determine the scaling exponents with the dissipation strength and system size. We find that, for two or more dissipation channels, the spectral gap increases with the system size. The spectral distribution of the steady state is Poissonian at low dissipation strength and conforms to that of a random matrix once the dissipation is sufficiently strong. Our results can help to understand the long-time dynamics and steady-state properties of generic dissipative systems.

Language:English
Keywords:open quantum systems, quantum chaos
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Year:2020
Publication status in journal:Published
Article version:Postprint, final article version, accepted into publication
Number of pages:20 str.
Numbering:Vol. 53, art. no. 305303
PID:20.500.12556/RUL-117819 This link opens in a new window
UDC:530.145
ISSN on article:1751-8113
DOI:10.1088/1751-8121/ab9337 This link opens in a new window
COBISS.SI-ID:23780099 This link opens in a new window
Publication date in RUL:28.07.2020
Views:453
Downloads:155
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Record is a part of a journal

Title:Journal of physics
Shortened title:J. phys., A, Math. theor.
Publisher:IOP Publishing
ISSN:1751-8113
COBISS.SI-ID:3692314 This link opens in a new window

Secondary language

Language:Slovenian
Keywords:odprti kvantni sistemi, kvantni kaos

Projects

Funder:EC - European Commission
Funding programme:H2020
Project number:694544
Name:Open Many-body Non-Equilibrium Systems
Acronym:OMNES

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:P1-0402
Name:Matematična fizika

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