Corpus ID: 235742622

Dynamics of Fluctuations in Quantum Simple Exclusion Processes

@inproceedings{Bernard2021DynamicsOF,
  title={Dynamics of Fluctuations in Quantum Simple Exclusion Processes},
  author={Denis Bernard and Fabian H L Essler and Ludwig Hruza and Marko Medenjak},
  year={2021}
}
We consider the dynamics of fluctuations in the quantum asymmetric simple exclusion process (Q-ASEP) with periodic boundary conditions. The Q-ASEP describes a chain of spinless fermions with random hoppings that are induced by a Markovian environment. We show that fluctuations of the fermionic degrees of freedom obey evolution equations of Lindblad type, and derive the corresponding Lindbladians. We identify the underlying algebraic structure by mapping them to non-Hermitian spin chains and… Expand
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