A Comprehensive Approach to Finite-Bath Open Quantum Systems: Exact Dynamics

• URL: http://arxiv.org/abs/2511.07180v1
• Date: Mon, 10 Nov 2025 15:12:35 GMT
• Title: A Comprehensive Approach to Finite-Bath Open Quantum Systems: Exact Dynamics
• Authors: Devvrat Tiwari, Subhashish Banerjee,
• Abstract summary: We develop the exact dynamics of the central spin model, modeling a finite-bath open quantum system.<n>A new quantum channel is characterized, while the latter elucidates the microscopic understanding of a very well-known non-Markovian quantum channel.<n>This paves the way for a foundational understanding of finite-bath open quantum systems and a number of novel applications in the vast domain of quantum physics.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Here, we develop the exact dynamics of the central spin model, modeling a finite-bath open quantum system. Particularly, two different types of interactions are investigated between the system and the bath: Heisenberg interaction with constant interaction strength, and a stochastic time-dependent interaction. In the former case, a new quantum channel is characterized, while the latter elucidates the microscopic understanding of a very well-known non-Markovian quantum channel. Exact master equations are provided in both scenarios. This is achieved by developing a new technique for obtaining a master equation from the map, making use of the concept of a minimal dissipator. This paves the way for a foundational understanding of finite-bath open quantum systems and a number of novel applications in the vast domain of quantum physics, one of which, implemented here, is in quantum thermodynamics.

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