Abstract
We show that an open fermionic system coupled to a continuous environment with unitary system-environment evolution can be exactly mapped onto an auxiliary system consisting of the physical fermion system and a set of discrete fermionic modes subject to non-unitary Lindblad-type system-modes evolution in such a way that reduced dynamics of the fermionic system in the two cases are the same. Conditions for equivalence of reduced dynamics in the two systems are identified and a proof is presented. Our study extends recent work on Bose systems (Tamascelli et al 2018 Phys. Rev. Lett. 120 030402) to the case of open quantum Fermi systems and to multi-time correlation functions. Numerical simulations within a generic junction model are presented for illustration.
Highlights
Open nonequilibirum systems are at the forefront of experimental and theoretical research due to rich and complex physics they provide access to as well as due to applicational prospects of building nanoscale devices for quantum based technologies and computations[1,2,3]
Accurate numerically inexpensive impurity solvers are in great demand both as standalone techniques to be applied in simulation of, e.g., nanoscale junctions and as a part of divide-and-conquer schemes such as, e.g, dynamical mean-field theory (DMFT)[15,16]
We consider open quantum Fermi system S coupled to a number of external Fermi baths each at its own equilibrium
Summary
Open nonequilibirum systems are at the forefront of experimental and theoretical research due to rich and complex physics they provide access to as well as due to applicational prospects of building nanoscale devices for quantum based technologies and computations[1,2,3]. Accurate numerically inexpensive impurity solvers are in great demand both as standalone techniques to be applied in simulation of, e.g., nanoscale junctions and as a part of divide-and-conquer schemes such as, e.g, dynamical mean-field theory (DMFT)[15,16] In this respect ability to map complicated non-Markovian dynamics of a system onto much simpler Markov consideration is an important step towards creating new computational techniques applicable in realistic simulations. Such mapping was used in auxiliary master equation approach (AMEA)[17,18] introducing numerically inexpensive and pretty accurate solver for the nonequilibrium DMFT.
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