Popkov, V. Yu., Karevski, D. and Schuetz, G. M. (2019). EXACT RESULTS FOR THE ISOTROPIC SPIN-1/2 HEISENBERG CHAIN WITH DISSIPATIVE BOUNDARY DRIVING. Theor. Math. Phys., 198 (2). S. 296 - 316. NEW YORK: MAIK NAUKA/INTERPERIODICA/SPRINGER. ISSN 1573-9333

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Abstract

We consider the open isotropic spin-1/2 Heisenberg quantum spin chain with a finite number N of sites coupled at the ends to a dissipative environment that favors polarization of the boundary spins in different directions. We review the matrix product ansatz (MPA) that yields the exact reduced density matrix of the Heisenberg chain. We develop the matrix algebra coming from the MPA in more detail than in previous work. We hence obtain exact results for the nonequilibrium partition function, about the impact of quantum fluctuations on the targeted boundary states, and for current-magnetization correlations in the steady state. The boundary states turn out to be pure to the order o(N-2). We show that the local magnetization and the local current perpendicular to the plane spanned by the boundary polarizations exhibit long-range correlations while the local magnetization correlations with the local in-plane currents are strongly suppressed.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Popkov, V. Yu.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Karevski, D.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Schuetz, G. M.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-157061
DOI: 10.1134/S0040577919020107
Journal or Publication Title: Theor. Math. Phys.
Volume: 198
Number: 2
Page Range: S. 296 - 316
Date: 2019
Publisher: MAIK NAUKA/INTERPERIODICA/SPRINGER
Place of Publication: NEW YORK
ISSN: 1573-9333
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
Physics, Multidisciplinary; Physics, MathematicalMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/15706

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