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Integrable quantum dynamics of open collective spin models
ID Ribeiro, Pedro (Author), ID Prosen, Tomaž (Author)

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Abstract
We consider a collective quantum spin s in contact with Markovian spin-polarized baths. Using a conserved superoperator charge, a differential representation of the Liouvillian is constructed to find its exact spectrum and eigenmodes. We study the spectral properties of the model in the large-s limit using a semiclassical quantization condition and show that the spectral density may diverge along certain curves in the complex plane.We exploit our exact solution to characterize steady-state properties, in particular at the discontinuous phase transition that arises for unpolarized environments, and to determine the decay rates of coherences and populations. Our approach provides a systematic way of finding integrable Liouvillian operators with nontrivial steady states as well as a way to study their spectral properties and eigenmodes.

Language:English
Keywords:quantum mechanics, open quantum systems, statistical physics
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Author Accepted Manuscript
Year:2019
Number of pages:Str. 010401-1-010401-6
Numbering:Vol. 122, iss. 1
PID:20.500.12556/RUL-105986 This link opens in a new window
UDC:530.145
ISSN on article:0031-9007
DOI:10.1103/PhysRevLett.122.010401 This link opens in a new window
COBISS.SI-ID:3285348 This link opens in a new window
Publication date in RUL:10.01.2019
Views:1378
Downloads:698
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Record is a part of a journal

Title:Physical review letters
Shortened title:Phys. rev. lett.
Publisher:American Physical Society
ISSN:0031-9007
COBISS.SI-ID:1282575 This link opens in a new window

Secondary language

Language:Slovenian
Keywords:kvantna mehanika, odprti kvantni sistemi, statistična fizika

Projects

Funder:EC - European Commission
Funding programme:H2020
Project number:694544
Name:Open many-body non-equilibrium systems
Acronym:OMNES

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