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Main Authors: Arvizu-Velazquez, A. A., del Río-Lima, A. A., Dondé-Rodríguez, S., Poveda-Cuevas, F. J.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.20446
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author Arvizu-Velazquez, A. A.
del Río-Lima, A. A.
Dondé-Rodríguez, S.
Poveda-Cuevas, F. J.
author_facet Arvizu-Velazquez, A. A.
del Río-Lima, A. A.
Dondé-Rodríguez, S.
Poveda-Cuevas, F. J.
contents A unified semiclassical framework is presented to describe the evaporative cooling of trapped atomic gases, accounting for both classical and quantum statistics. By combining global thermodynamics with phase-space distributions, general analytic expressions for the particle number and internal energy are derived for a broad family of confining potentials. Building on these results, a recursive evaporation protocol is formulated based on truncated energy distributions, enabling stepwise mapping between successive thermodynamic states and revealing the system's degree of freedom governance over cooling efficiency. Numerical simulations of the systems highlight the contrasting behavior of classical and quantum systems as they approach degeneracy, with particularly distinctive signatures in quadrupole traps, due to their nonstandard phase-space scaling. The results provide a versatile theoretical tool for modeling evaporative cooling across experimentally relevant geometries and offer quantitative guidance for optimizing cooling trajectories in ultracold atomic systems.
format Preprint
id arxiv_https___arxiv_org_abs_2603_20446
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Semi-classical evaporative cooling: classical and quantum distributions
Arvizu-Velazquez, A. A.
del Río-Lima, A. A.
Dondé-Rodríguez, S.
Poveda-Cuevas, F. J.
Quantum Gases
Statistical Mechanics
A unified semiclassical framework is presented to describe the evaporative cooling of trapped atomic gases, accounting for both classical and quantum statistics. By combining global thermodynamics with phase-space distributions, general analytic expressions for the particle number and internal energy are derived for a broad family of confining potentials. Building on these results, a recursive evaporation protocol is formulated based on truncated energy distributions, enabling stepwise mapping between successive thermodynamic states and revealing the system's degree of freedom governance over cooling efficiency. Numerical simulations of the systems highlight the contrasting behavior of classical and quantum systems as they approach degeneracy, with particularly distinctive signatures in quadrupole traps, due to their nonstandard phase-space scaling. The results provide a versatile theoretical tool for modeling evaporative cooling across experimentally relevant geometries and offer quantitative guidance for optimizing cooling trajectories in ultracold atomic systems.
title Semi-classical evaporative cooling: classical and quantum distributions
topic Quantum Gases
Statistical Mechanics
url https://arxiv.org/abs/2603.20446