English

The Fermionic influence superoperator: a canonical derivation for the development of methods to simulate the influence of a Fermionic environment on a quantum system with arbitrary parity symmetry

Quantum Physics 2023-01-19 v2

Abstract

We present a canonical derivation of an influence superoperator which generates the reduced dynamics of a Fermionic quantum system linearly coupled to a Fermionic environment initially at thermal equilibrium. We use this formalism to derive a generalized-Lindblad master equation (in the Markovian limit) and a generalized version of the hierarchical equations of motion valid in arbitrary parity-symmetry conditions, important for the correct evaluation of system correlation functions and spectra.

Keywords

Cite

@article{arxiv.2108.09094,
  title  = {The Fermionic influence superoperator: a canonical derivation for the development of methods to simulate the influence of a Fermionic environment on a quantum system with arbitrary parity symmetry},
  author = {Mauro Cirio and Po-Chen Kuo and Yueh-Nan Chen and Franco Nori and Neill Lambert},
  journal= {arXiv preprint arXiv:2108.09094},
  year   = {2023}
}

Comments

33 pages, 2 figures