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Open Quantum Systems Decoherence

Solutions for dissipative quadratic open systems: part II - fermions

arXiv

Authors: Chu Guo, Dario Poletti

Year

2016

Paper ID

43359

Status

Preprint

Abstract Read

~2 min

Abstract Words

110

Citations

N/A

Abstract

This is the second part of a work in which we show how to solve a large class of Lindblad master equations for non-interacting particles on L sites. Here we concentrate on fermionic particles. In parallel to part I for bosons, but with important differences, we show how to reduce the problem to diagonalizing an L times L non-Hermitian matrix which, for boundary dissipative driving of a uniform chain, is a tridiagonal bordered Toeplitz matrix. In this way, both for fermionic and spin systems alike, we can obtain analytical expressions for the normal master modes and their relaxation rates (rapidities) and we show how to construct the non-equilibrium steady state.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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This is the second part of a work in which we show how to solve a large class of Lindblad master equations for non-interacting particles on L sites.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1609.07838 [2] arXiv https://arxiv.org/abs/1609.07838 [3] Publisher https://arxiv.org/abs/1609.07838

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