Integrable quantum dynamics of open collective spin models

Ribeiro, Pedro (author), Prosen, Tomaž (author)

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
• UDC: 530.145
• ISSN on article: 0031-9007
• DOI: 10.1103/PhysRevLett.122.010401
• COBISS.SI-ID: 3285348
• Publication date in RUL: 10.01.2019

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

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