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...

Full description

Bibliographic Details
Main Authors: Andrea Tononi, Axel Pelster, Luca Salasnich
Format: Article
Language:English
Published: American Physical Society 2022-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.013122
_version_ 1797210822348374016
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