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

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 the system. 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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Cited by in corpus (10)

• Collective Radiance of Giant Atoms in Non-Markovian Regime
• Survey of the Hierarchical Equations of Motion in Tensor-Train format for non-Markovian quantum dynamics
• MPSDynamics.jl: Tensor network simulations for finite-temperature (non-Markovian) open quantum system dynamics
• Improved Efficiency of Open Quantum System Simulations Using Matrix Products States in the Interaction Picture
• Thermal cycle and polaron formation in structured bosonic environments
• From Non-Markovian Dissipation to Spatiotemporal Control of Quantum Nanodevices
• Tuning the entanglement growth in matrix-product-state evolution of quantum systems by nonunitary similarity transformations
• Making Quantum Collision Models Exact
• Input-Output Hierarchical Equations Of Motion
• Chain-mapping methods for relativistic light-matter interactions