Topological superfluid transition in bubble-trapped condensates
Ultracold quantum gases are highly controllable and thus capable of simulating difficult quantum many-body problems ranging from condensed matter physics to astrophysics. Although experimental realizations have so far been restricted to flat geometries, recently also curved quantum systems, with the...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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American Physical Society
2022-02-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.4.013122 |
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author | Andrea Tononi Axel Pelster Luca Salasnich |
author_facet | Andrea Tononi Axel Pelster Luca Salasnich |
author_sort | Andrea Tononi |
collection | DOAJ |
description | Ultracold quantum gases are highly controllable and thus capable of simulating difficult quantum many-body problems ranging from condensed matter physics to astrophysics. Although experimental realizations have so far been restricted to flat geometries, recently also curved quantum systems, with the prospect of exploring tunable geometries, have been produced in microgravity facilities as ground-based experiments are technically limited. Here, we analyze bubble-trapped condensates, in which the atoms are confined on the surface of a thin spherically symmetric shell by means of external magnetic fields. A thermally induced proliferation of vorticity yields a vanishing of superfluidity. We describe the occurrence of this topological transition by conceptually extending the theory of Berezinskii, Kosterlitz, and Thouless for infinite uniform systems to such finite-size systems. Unexpectedly, we find universal scaling relations for the mean critical temperature and the finite width of the superfluid transition. Furthermore, we elucidate how they could be experimentally observed in finite-temperature hydrodynamic excitations. |
first_indexed | 2024-04-24T10:16:42Z |
format | Article |
id | doaj.art-de8922c7af144546b3ea830cfaf277e7 |
institution | Directory Open Access Journal |
issn | 2643-1564 |
language | English |
last_indexed | 2024-04-24T10:16:42Z |
publishDate | 2022-02-01 |
publisher | American Physical Society |
record_format | Article |
series | Physical Review Research |
spelling | doaj.art-de8922c7af144546b3ea830cfaf277e72024-04-12T17:18:08ZengAmerican Physical SocietyPhysical Review Research2643-15642022-02-014101312210.1103/PhysRevResearch.4.013122Topological superfluid transition in bubble-trapped condensatesAndrea TononiAxel PelsterLuca SalasnichUltracold quantum gases are highly controllable and thus capable of simulating difficult quantum many-body problems ranging from condensed matter physics to astrophysics. Although experimental realizations have so far been restricted to flat geometries, recently also curved quantum systems, with the prospect of exploring tunable geometries, have been produced in microgravity facilities as ground-based experiments are technically limited. Here, we analyze bubble-trapped condensates, in which the atoms are confined on the surface of a thin spherically symmetric shell by means of external magnetic fields. A thermally induced proliferation of vorticity yields a vanishing of superfluidity. We describe the occurrence of this topological transition by conceptually extending the theory of Berezinskii, Kosterlitz, and Thouless for infinite uniform systems to such finite-size systems. Unexpectedly, we find universal scaling relations for the mean critical temperature and the finite width of the superfluid transition. Furthermore, we elucidate how they could be experimentally observed in finite-temperature hydrodynamic excitations.http://doi.org/10.1103/PhysRevResearch.4.013122 |
spellingShingle | Andrea Tononi Axel Pelster Luca Salasnich Topological superfluid transition in bubble-trapped condensates Physical Review Research |
title | Topological superfluid transition in bubble-trapped condensates |
title_full | Topological superfluid transition in bubble-trapped condensates |
title_fullStr | Topological superfluid transition in bubble-trapped condensates |
title_full_unstemmed | Topological superfluid transition in bubble-trapped condensates |
title_short | Topological superfluid transition in bubble-trapped condensates |
title_sort | topological superfluid transition in bubble trapped condensates |
url | http://doi.org/10.1103/PhysRevResearch.4.013122 |
work_keys_str_mv | AT andreatononi topologicalsuperfluidtransitioninbubbletrappedcondensates AT axelpelster topologicalsuperfluidtransitioninbubbletrappedcondensates AT lucasalasnich topologicalsuperfluidtransitioninbubbletrappedcondensates |