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Quantum Thermodynamics

Many-body systems with SU(1,1) dynamical symmetry: from dynamics to thermodynamics based on the trace formula

arXiv

Authors: Zhaoyu Fei, C. P. Sun

Year

2021

Paper ID

41411

Status

Preprint

Abstract Read

~2 min

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Abstract

For a quantum (many-body) system with dynamical symmetry described by a given Lie group, we study the trace of exponential operators with complex coefficients in one of the irreducible subspaces in terms of the boson realization. By using this approach, for compact groups, we obtain the result of the trace that is consistent with the well-known Weyl character formula. For non-compact groups (with SU(1,1) as an application), convergent condition of the trace is also obtained. This approach may be a powerful tool to study the thermodynamics of quantum (many-body) systems in equilibrium state or nonequilibrium processes.

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For a quantum (many-body) system with dynamical symmetry described by a given Lie group, we study the trace of exponential operators with complex coefficients in one of the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2111.11041 [2] arXiv https://arxiv.org/abs/2111.11041 [3] Publisher https://arxiv.org/abs/2111.11041

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