Continuous Variable Structured Collision Models

• URL: http://arxiv.org/abs/2503.03832v1
• Date: Wed, 05 Mar 2025 19:01:02 GMT
• Title: Continuous Variable Structured Collision Models
• Authors: Anton Corr, Stefano Cusumano, Gabriele De Chiara,
• Abstract summary: Quantum collision models allow for the dynamics of open quantum systems to be described by breaking the environment into small segments.<n>This work introduces structure within these environmental units via spring-like interactions between N coupled oscillators in a ring structure, initially prepared in a thermal state.<n>The first and second laws of thermodynamics are verified for both examples.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum collision models allow for the dynamics of open quantum systems to be described by breaking the environment into small segments, typically consisting of non-interacting harmonic oscillators or two-level systems. This work introduces structure within these environmental units via spring-like interactions between N coupled oscillators in a ring structure, initially prepared in a thermal state. Two models of interest are examined. The first highlights a case in which a continuous time evolution can be obtained, wherein the system interacts with the environment via a beam-splitter-like, energy-preserving, interaction. The resulting dynamics are analogous to those due to interactions with unstructured units prepared as squeezed thermal states. The second model highlights a case in which the continuous time limit for the evolution cannot be taken generally, requiring instead discrete-time propagation. Special cases in which the continuous time limit can be taken are also investigated, alongside the addition of a secondary environment to induce a steady state. The first and second laws of thermodynamics are verified for both examples.

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