Time-dependent correlation functions in open quadratic fermionic systems

Kos, Pavel (author), Prosen, Tomaž (author)

We formulate and discuss the explicit computation of dynamic correlation functions in open quadratic fermionic systems which are driven and dissipated by Lindblad jump processes that are linear in canonical fermionic operators. Dynamic correlators are interpreted in terms of a local quantum quench where the pre-quench state is a non-equilibrium steady state, i.e. a fixed point of the Liouvillian. As an example, we study the XY spin 1/2 chain and quadratic Majorana chains with boundary Lindblad driving, whose dynamics exhibit asymmetric (skewed) light cone behaviour. We also numerically treat the two-dimensional XY model and the XY spin chain with additional Dzyaloshinskii–Moriya interactions. The latter exhibits a new non-thermal phase transition which can be understood in terms of bifurcations of the quasi-particle dispersion relation. Finally, considering in some detail the periodic quadratic fermionic ring with dissipation at a single (arbitrary) site, we present analytical expressions for first order corrections (in the strength of dissipation) to the spectrum and non-equilibrium steady state (NESS) correlation functions.

• Language: English
• Keywords: quantum mechanics, quantum statistical mechanics, correlation functions
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Publisher: IOP Publishing Ltd and SISSA Medialab srl
• Year: 2017
• Number of pages: 24 str.
• Numbering: Vol. 2017, art. no. 123103
• PID: 20.500.12556/RUL-99955
• UDC: 530.145
• ISSN on article: 1742-5468
• DOI: 10.1088/1742-5468/aa9681
• COBISS.SI-ID: 3170916
• Publication date in RUL: 26.02.2018

Record is a part of a journal

• Title: Journal of statistical mechanics
• Shortened title: J. stat. mech.
• Publisher: IOP Publishing
• ISSN: 1742-5468
• COBISS.SI-ID: 21517607

Secondary language

• Language: Slovenian
• Keywords: kvantna mehanika, kvantna statistična mehanika, korelacijske funkcije

Projects

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