Dynamically stabilized decoherence-free states in non-Markovian open fermionic systems

TL;DR

This paper investigates decoherence-free states in non-Markovian fermionic systems, demonstrating that such states can be dynamically stabilized, extending the understanding of DFSs beyond Markovian frameworks.

Contribution

It introduces a method to identify and stabilize decoherence-free states in non-Markovian fermionic environments, which was not previously explored.

Findings

DF states can be identified by diagonalizing the non-unitary evolution operator.

DF states can be dynamically stabilized in non-Markovian fermionic systems.

The exact master equation confirms the stabilization of DF states.

Abstract

Decoherence-free subspaces (DFSs) provide a strategy for protecting the dynamics of an open system from decoherence induced by the system-environment interaction. So far, DFSs have been primarily studied in the framework of Markovian master equations. In this work, we study decoherence-free (DF) states in the general setting of a non-Markovian fermionic environment. We identify the DF states by diagonalizing the non-unitary evolution operator for a two-level fermionic system attached to an electron reservoir. By solving the exact master equation, we show that DF states can be stabilized dynamically.