Full Quantum Work Statistics for Non-Homogeneous Many-Body Systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911730328666112 |
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| author | Palamara, Antonio Plastina, Francesco Sindona, Antonello D'Amico, Irene |
| author_facet | Palamara, Antonio Plastina, Francesco Sindona, Antonello D'Amico, Irene |
| contents | The nonequilibrium thermodynamics of interacting quantum many-body systems is investigated within the framework of thermal time-dependent density functional theory using a generalized linear-response formulation for the full quantum work statistics. A first-principles route is established to reconstruct the relaxation function that underlies linear-response theory, thereby moving beyond phenomenological descriptions and enabling a consistent evaluation of all moments of the dissipated-work distribution in interacting systems. The predictive power of the approach is demonstrated for the Hubbard model subject to a staggered external potential, where the evolution of the relaxation dynamics during the Mott-to-band-insulator crossover reveals how distinct many-body phases shape the out-of-equilibrium thermodynamic response. These results provide a microscopic and transferable framework for quantum thermodynamics in correlated systems, bridging thermal density functional theory and nonequilibrium work statistics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18338 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Full Quantum Work Statistics for Non-Homogeneous Many-Body Systems Palamara, Antonio Plastina, Francesco Sindona, Antonello D'Amico, Irene Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons The nonequilibrium thermodynamics of interacting quantum many-body systems is investigated within the framework of thermal time-dependent density functional theory using a generalized linear-response formulation for the full quantum work statistics. A first-principles route is established to reconstruct the relaxation function that underlies linear-response theory, thereby moving beyond phenomenological descriptions and enabling a consistent evaluation of all moments of the dissipated-work distribution in interacting systems. The predictive power of the approach is demonstrated for the Hubbard model subject to a staggered external potential, where the evolution of the relaxation dynamics during the Mott-to-band-insulator crossover reveals how distinct many-body phases shape the out-of-equilibrium thermodynamic response. These results provide a microscopic and transferable framework for quantum thermodynamics in correlated systems, bridging thermal density functional theory and nonequilibrium work statistics. |
| title | Full Quantum Work Statistics for Non-Homogeneous Many-Body Systems |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2512.18338 |