Unveiling non-Markovian spacetime signalling in open quantum systems with long-range tensor network dynamics - Sorbonne Université
Journal Articles Physical Review A Year : 2021

Unveiling non-Markovian spacetime signalling in open quantum systems with long-range tensor network dynamics

Thibaut Lacroix
Angus Dunnett
  • Function : Author
Dominic Gribben
  • Function : Author
Brendon W Lovett
  • Function : Author
Alex W. Chin

Abstract

Nanoscale devices-either biological or artificial-operate in a regime where the usual assumptions of a structureless, Markovian, bath do not hold. Being able to predict and study the dynamics of such systems is crucial and is usually done by tracing out the bath degrees of freedom, which implies losing information about the environment. To go beyond these approaches we use a numerically exact method relying on a Matrix Product State representation of the quantum state of a system and its environment to keep track of the bath explicitly. This method is applied to a specific example of interaction that depends on the spatial structure of a system made of two sites. The result is that we predict a non-Markovian dynamics where long-range couplings induce correlations into the environment. The environment dynamics can be naturally extracted from our method and shine a light on long time feedback effects that are responsible for the observed non-Markovian recurrences in the eigen-populations of the system.
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Dates and versions

hal-03423086 , version 1 (09-11-2021)

Identifiers

  • HAL Id : hal-03423086 , version 1

Cite

Thibaut Lacroix, Angus Dunnett, Dominic Gribben, Brendon W Lovett, Alex W. Chin. Unveiling non-Markovian spacetime signalling in open quantum systems with long-range tensor network dynamics. Physical Review A, 2021. ⟨hal-03423086⟩
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