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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)


Towards generalization of quantum inverse scattering method: Exact results of quantum 1D many-body systems with dissipation

V. Yu. Popkov

University of Wuppertal

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
  1. D. Karevski, V. Popkov and G. Schuetz, Phys. Rev. Lett., 110 (2013), 047201
  2. T. Prosen, E. Ilievski and V. Popkov, New J. Phys., 15 (2013), 073051
  3. V. Popkov, T. Prosen and L. Zadnik, arXiv: 1912.03282


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