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

Chihiro Matsui (Author), Tomaž Prosen (Author)

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.

Keywords

kvantna mehanika;spinski modeli;kvantne verige;quantum mechanics;spin models;quantum chains;

Data

Language:	English
Year of publishing:	2017
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
Publisher:	IOP Publishing Ltd
UDC:	530.145
COBISS:	3178084
ISSN:	1751-8113
Views:	776
Downloads:	564
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	kvantna mehanika;spinski modeli;kvantne verige;
Embargo end date (OpenAIRE):	2018-08-21
Pages:	16 str.
Volume:	ǂVol. ǂ50
Issue:	ǂart. no. ǂ385201
Chronology:	2017
DOI:	10.1088/1751-8121/aa82db
ID:	10915631