Coherent-state path integrals in quantum thermodynamics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912911003222016 |
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| author | Salasnich, Luca Vianello, Cesare |
| author_facet | Salasnich, Luca Vianello, Cesare |
| contents | In these notes, we elucidate some subtle aspects of coherent-state path integrals, focusing on their application to the equilibrium thermodynamics of quantum many-particle systems. These subtleties emerge when evaluating path integrals in the continuum, either in imaginary time or in Matsubara-frequency space. Our central message is that, when handled with due care, the path integral yields results identical to those obtained from the canonical Hamiltonian approach. We illustrate this through a pedagogical treatment of several paradigmatic systems: the bosonic and fermionic harmonic oscillators, the single-site Bose-Hubbard and Hubbard models, the weakly-interacting Bose gas with finite-range interactions, and the BCS superconductor with finite-range interactions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_11547 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coherent-state path integrals in quantum thermodynamics Salasnich, Luca Vianello, Cesare Quantum Gases Statistical Mechanics Superconductivity In these notes, we elucidate some subtle aspects of coherent-state path integrals, focusing on their application to the equilibrium thermodynamics of quantum many-particle systems. These subtleties emerge when evaluating path integrals in the continuum, either in imaginary time or in Matsubara-frequency space. Our central message is that, when handled with due care, the path integral yields results identical to those obtained from the canonical Hamiltonian approach. We illustrate this through a pedagogical treatment of several paradigmatic systems: the bosonic and fermionic harmonic oscillators, the single-site Bose-Hubbard and Hubbard models, the weakly-interacting Bose gas with finite-range interactions, and the BCS superconductor with finite-range interactions. |
| title | Coherent-state path integrals in quantum thermodynamics |
| topic | Quantum Gases Statistical Mechanics Superconductivity |
| url | https://arxiv.org/abs/2511.11547 |