Construction of the steady state density matrix and quasilocal charges for the spin-1/2 XXZ chain with boundary magnetic fields

Matsui, Chihiro (author), Prosen, Tomaž (author)

We construct the nonequilibrium steady state (NESS) density operator of the spin-$1/2$ XXZ chain with non-diagonal boundary magnetic fields coupled to boundary dissipators. The Markovian boundary dissipation is found with which the NESS density operator is expressed in terms of the product of the Lax operators by relating the dissipation parameters to the boundary parameters of the spin chain. The NESS density operator can be expressed in terms of a non-Hermitian transfer operator (NHTO) which forms a commuting family of quasilocal charges. The optimization of the Mazur bound for the high temperature Drude weight is discussed by using the quasilocal charges and the conventional local charges constructed through the Bethe ansatz.

• Language: English
• Keywords: quantum mechanics, spin models, quantum chains
• 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
• Year: 2017
• Number of pages: 16 str.
• Numbering: Vol. 50, art. no. 385201
• PID: 20.500.12556/RUL-100072
• UDC: 530.145
• ISSN on article: 1751-8113
• DOI: 10.1088/1751-8121/aa82db
• COBISS.SI-ID: 3178084
• Publication date in RUL: 02.03.2018

Record is a part of a journal

• Title: Journal of physics : Mathematical and theoretical
• Shortened title: J. phys., A, Math. theor.
• Publisher: IOP Publishing
• ISSN: 1751-8113
• COBISS.SI-ID: 3692314

Secondary language

• Language: Slovenian
• Keywords: kvantna mehanika, spinski modeli, kvantne verige

Projects

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