Tomaž Prosen 2008 New J. Phys. 10 043026 doi:10.1088/1367-2630/10/4/043026
Tomaž Prosen
Show affiliationsThe Lindblad master equation for an arbitrary quadratic system of n fermions is solved explicitly in terms of diagonalization of a 4n×4n matrix, provided that all Lindblad bath operators are linear in the fermionic variables. The method is applied to the explicit construction of non-equilibrium steady states (NESS) and the calculation of asymptotic relaxation rates in the far from equilibrium problem of heat and spin transport in a nearest neighbour Heisenberg XY spin-1/2 chain in a transverse magnetic field.
05.30.Fk Fermion systems and electron gas
75.10.Jm Quantized spin models
03.65.Yz Decoherence; open systems; quantum statistical methods
Quantum gases, liquids and solids
Condensed matter: electrical, magnetic and optical
Issue 4 (April 2008)
Received 7 January 2008
Published 15 April 2008
Tomaž Prosen 2008 New J. Phys. 10 043026
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