Geometric filtering effect in expanding Bose-Einstein condensate shells

Fuente: arXiv
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Autori principali: Tononi, Andrea, Lewenstein, Maciej, Santos, Luis
Natura: Preprint
Pubblicazione: 2025
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author Tononi, Andrea
Lewenstein, Maciej
Santos, Luis
author_facet Tononi, Andrea
Lewenstein, Maciej
Santos, Luis
contents A shell-shaped Bose-Einstein condensate released from its confinement expands radially both outwards and inwards, displaying a self-interference pattern characterized by a density peak surrounded by a halo. Here we analyze how an external imprinting or the thermal fluctuations of the condensate phase influence this expansion. In both cases, we find that the curved geometry filters the imploding finite angular-momentum modes via a radial centrifugal potential, so that only the condensate state can reach the origin and form the central peak. As a consequence, we observe a pronounced dependence of the central density on the imprinting strength and on temperature. This geometric filtering effect characterizes the free expansion of curved atomic gases in contrast with flat counterparts, it is easily observable in the available experimental platforms, and enables two-dimensional shells thermometry via simple absorption-imaging techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2510_12309
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Geometric filtering effect in expanding Bose-Einstein condensate shells
Tononi, Andrea
Lewenstein, Maciej
Santos, Luis
Quantum Gases
A shell-shaped Bose-Einstein condensate released from its confinement expands radially both outwards and inwards, displaying a self-interference pattern characterized by a density peak surrounded by a halo. Here we analyze how an external imprinting or the thermal fluctuations of the condensate phase influence this expansion. In both cases, we find that the curved geometry filters the imploding finite angular-momentum modes via a radial centrifugal potential, so that only the condensate state can reach the origin and form the central peak. As a consequence, we observe a pronounced dependence of the central density on the imprinting strength and on temperature. This geometric filtering effect characterizes the free expansion of curved atomic gases in contrast with flat counterparts, it is easily observable in the available experimental platforms, and enables two-dimensional shells thermometry via simple absorption-imaging techniques.
title Geometric filtering effect in expanding Bose-Einstein condensate shells
topic Quantum Gases
url https://arxiv.org/abs/2510.12309