Local Quantum Friction with Pairing: Unitary Dissipation in Large Fermi Systems

Fuente: arXiv
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Autores principales: Alba-Arroyo, J. E., Pęcak, Daniel, Forbes, Michael McNeil, Wlazłowski, Gabriel
Formato: Preprint
Publicado: 2025
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author Alba-Arroyo, J. E.
Pęcak, Daniel
Forbes, Michael McNeil
Wlazłowski, Gabriel
author_facet Alba-Arroyo, J. E.
Pęcak, Daniel
Forbes, Michael McNeil
Wlazłowski, Gabriel
contents We present a unitary framework for dissipative quantum dynamics that can be efficiently applied to large-scale Fermi systems. The method introduces local Hermitian operators that emulate frictional forces while strictly preserving the unitarity of time evolution. Unlike approaches based on the Lindblad equation, our formulation scales favorably with system size and can be seamlessly integrated into time-dependent density functional theory frameworks. We demonstrate that energy dissipation arises from the damping of particle currents and pairing-field fluctuations. Furthermore, we develop a variant of the scheme that allows the particle number to vary in time, enabling controlled density scans. The method is generic and versatile, as illustrated by applications to spin-imbalanced unitary Fermi gases and to nuclear matter in the neutron-star crust. The framework can be naturally extended to include stochastic noise, providing a foundation for studying fluctuation-dissipation dynamics and thermalization in strongly interacting Fermi superfluids.
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id arxiv_https___arxiv_org_abs_2512_12866
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Local Quantum Friction with Pairing: Unitary Dissipation in Large Fermi Systems
Alba-Arroyo, J. E.
Pęcak, Daniel
Forbes, Michael McNeil
Wlazłowski, Gabriel
Nuclear Theory
Quantum Gases
We present a unitary framework for dissipative quantum dynamics that can be efficiently applied to large-scale Fermi systems. The method introduces local Hermitian operators that emulate frictional forces while strictly preserving the unitarity of time evolution. Unlike approaches based on the Lindblad equation, our formulation scales favorably with system size and can be seamlessly integrated into time-dependent density functional theory frameworks. We demonstrate that energy dissipation arises from the damping of particle currents and pairing-field fluctuations. Furthermore, we develop a variant of the scheme that allows the particle number to vary in time, enabling controlled density scans. The method is generic and versatile, as illustrated by applications to spin-imbalanced unitary Fermi gases and to nuclear matter in the neutron-star crust. The framework can be naturally extended to include stochastic noise, providing a foundation for studying fluctuation-dissipation dynamics and thermalization in strongly interacting Fermi superfluids.
title Local Quantum Friction with Pairing: Unitary Dissipation in Large Fermi Systems
topic Nuclear Theory
Quantum Gases
url https://arxiv.org/abs/2512.12866