Pedro Ribeiro (Author), Tomaž Prosen (Author)

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.

Keywords

kvantna mehanika;odprti kvantni sistemi;statistična fizika;quantum mechanics;open quantum systems;statistical physics;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 530.145
COBISS: 3285348 Link will open in a new window
ISSN: 0031-9007
Views: 910
Downloads: 552
Average score: 0 (0 votes)
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Other data

Secondary language: Slovenian
Secondary keywords: kvantna mehanika;odprti kvantni sistemi;statistična fizika;
Pages: str. 010401-1-010401-6
Volume: ǂVol. ǂ122
Issue: ǂiss. ǂ1
Chronology: 2019
DOI: 10.1103/PhysRevLett.122.010401
ID: 11002138