The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring
We present a detailed investigation of one of the cleanest examples where it is possible to detect the “analog” Dynamical Casimir Effect in a Bose–Einstein condensate: an ultracold atom gas in toroidal confinement. The analytical solution of the time dependent Gross–Pitaevskii equation allows to fol...
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Physique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.210/ |
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| author | Tettamanti, Manuele Parola, Alberto |
| author_facet | Tettamanti, Manuele Parola, Alberto |
| author_sort | Tettamanti, Manuele |
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| description | We present a detailed investigation of one of the cleanest examples where it is possible to detect the “analog” Dynamical Casimir Effect in a Bose–Einstein condensate: an ultracold atom gas in toroidal confinement. The analytical solution of the time dependent Gross–Pitaevskii equation allows to follow the time evolution of the phonon spectrum and shows that periodic oscillations of the ring radius do not induce modulations in the density profile but give rise to the mixing of clockwise and anticlockwise modes, leading to the creation of pairs of entangled phonons in a squeezed vacuum state, if the drive frequency equals twice the frequency of the phonon mode. The Dynamical Casimir Effect is predicted to occur in the weakly interacting regime, where the Gross–Pitaevskii equation provides a faithful description of the many body dynamics. In the strong coupling limit, when the ultracold gas behaves as hard core bosons, the effect disappears and no amplification occurs. The presence of symmetry-breaking perturbations and finite temperature effects are also considered, as well as the comparison with the classical phenomenon of parametric amplification. |
| format | Article |
| id | doaj-art-a24068e329cd4fae942f83db778e41a4 |
| institution | Kabale University |
| issn | 1878-1535 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
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| series | Comptes Rendus. Physique |
| spelling | doaj-art-a24068e329cd4fae942f83db778e41a42025-02-07T13:54:01ZengAcadémie des sciencesComptes Rendus. Physique1878-15352024-11-0111910.5802/crphys.21010.5802/crphys.210The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ringTettamanti, Manuele0https://orcid.org/0000-0002-0889-9060Parola, Alberto1https://orcid.org/0000-0001-7844-6916Dipartimento di Fisica “Giuseppe Occhialini”, Università di Milano-Bicocca and INFN - Sezione di Milano-Bicocca - Piazza della Scienza 3, 20126 Milano, ItalyDipartimento di Scienza e Alta Tecnologia and To.Sca.Lab, Università degli Studi dell’Insubria - Via Valleggio 11, 22100 Como, ItalyWe present a detailed investigation of one of the cleanest examples where it is possible to detect the “analog” Dynamical Casimir Effect in a Bose–Einstein condensate: an ultracold atom gas in toroidal confinement. The analytical solution of the time dependent Gross–Pitaevskii equation allows to follow the time evolution of the phonon spectrum and shows that periodic oscillations of the ring radius do not induce modulations in the density profile but give rise to the mixing of clockwise and anticlockwise modes, leading to the creation of pairs of entangled phonons in a squeezed vacuum state, if the drive frequency equals twice the frequency of the phonon mode. The Dynamical Casimir Effect is predicted to occur in the weakly interacting regime, where the Gross–Pitaevskii equation provides a faithful description of the many body dynamics. In the strong coupling limit, when the ultracold gas behaves as hard core bosons, the effect disappears and no amplification occurs. The presence of symmetry-breaking perturbations and finite temperature effects are also considered, as well as the comparison with the classical phenomenon of parametric amplification.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.210/Casimir EffectBose Einstein Condensatesvacuum fluctuations |
| spellingShingle | Tettamanti, Manuele Parola, Alberto The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring Comptes Rendus. Physique Casimir Effect Bose Einstein Condensates vacuum fluctuations |
| title | The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring |
| title_full | The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring |
| title_fullStr | The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring |
| title_full_unstemmed | The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring |
| title_short | The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring |
| title_sort | dynamical casimir effect in quasi one dimensional bose condensates the breathing ring |
| topic | Casimir Effect Bose Einstein Condensates vacuum fluctuations |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.210/ |
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