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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 26, 2020 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)
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Towards generalization of quantum inverse scattering method: Exact results
of quantum 1D many-body systems with dissipation
V. Yu. Popkov
University of Wuppertal
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Abstract:
Quantum inverse scattering method allows to obtain spectra and correlations of one-dimensional quantum many- body systems, using commuting transfer matrices. Recent advances allow to study the same systems under nonequilibrium dissipative setup, which ruins unitary time evolution: Schroedinger equation for the wave function is replaced by quantum Master equation for the density matrix. As an illustration, I will show how to construct a nonequilibrium steady density matrix of an open XXX 1D Heisenberg model with dissipation at the borders which polarizes boundary spins along fixed and different directions.
References
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D. Karevski, V. Popkov and G. Schuetz, Phys. Rev. Lett., 110 (2013), 047201
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T. Prosen, E. Ilievski and V. Popkov, New J. Phys., 15 (2013), 073051
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V. Popkov, T. Prosen and L. Zadnik, arXiv: 1912.03282
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