Third quantization: a general method to solve master equations for quadratic open Fermi systems
نویسنده
چکیده
The 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 and the calculation of asymptotic relaxation rates in the far from equilibrium problem of heat and spin transport in a nearest neighbor HeisenbergXY spin 1/2 chain in a transverse magnetic field. PACS numbers: 02.30.Ik, 03.65.Yz, 05.30.Fk, 75.10.Pq A general method to solve master equations for quadratic open Fermi systems 2
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تاریخ انتشار 2008