Path-integral approach to the thermodynamics of bosons with memory: Partition function and specific heat

Timour Ichmoukhamedov; Jacques Tempere

doi:10.1103/physreva.104.023322

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arXiv · 2109.00349

Path-integral approach to the thermodynamics of bosons with memory: Partition function and specific heat

Timour Ichmoukhamedov·Jacques Tempere

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Abstract

For a system of bosons that interact through a class of general memory kernels, a recurrence relation for the partition function is derived within the path-integral formalism. This approach provides a generalization to previously known treatments in the literature of harmonically coupled systems of identical particles. As an example the result is applied to the specific heat of a simplified model of an open quantum system of bosons, harmonically coupled to a reservoir of distinguishable fictitious masses.

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Timour Ichmoukhamedov, Jacques Tempere. 2021-09-01. Path-integral approach to the thermodynamics of bosons with memory: Partition function and specific heat. https://doi.org/10.1103/physreva.104.023322

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