Construction of the steady state density matrix and quasilocal charges for the spin-1/2 XXZ chain with boundary magnetic fields. (21st August 2017)

• Record Type: Journal Article
• Authors: Matsui, Chihiro; Prosen, Tomaž
• Is Part Of: Journal of physics. Volume 50:Number 38(2017)
• Publication Date: 2017-08-21
• Subjects: boundary driven quantum chains -- matrix product solutions -- integrable XXZ model -- quasilocal charges; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa82db
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: 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.