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Title: | The origin of the period-2T/7 quasi-breathing in disk-shaped Gross-Pitaevskii breathers |
Author: | Torrents, Jordi Dunjko, Vanja Gonchenko, Marina Astrakharchik, Grigori Olshanii, Maxim |
Keywords: | Pertorbació (Dinàmica quàntica) Mecànica estadística del no equilibri Mecànica estadística Física estadística Perturbation (Quantum dynamics) Nonequilibrium statistical mechanics Statistical mechanics Statistical physics |
Issue Date: | 14-Mar-2022 |
Publisher: | SciPost Foundation |
Abstract: | We address the origins of the quasi-periodic breathing observed in [Phys. Rev.\ X vol. 9, 021035 (2019)] in disk-shaped harmonically trapped two-dimensional Bose condensates, where the quasi-period $T_{\text{quasi-breathing}}\sim$~$2T/7$ and $T$ is the period of the harmonic trap. We show that, due to an unexplained coincidence, the first instance of the collapse of the hydrodynamic description, at $t^{*} = \arctan(\sqrt{2})/(2\pi) T \approx T/7$, emerges as a `skillful impostor' of the quasi-breathing half-period $T_{\text{quasi-breathing}}/2$. At the time $t^{*}$, the velocity field almost vanishes, supporting the requisite time-reversal invariance. We find that this phenomenon persists for scale-invariant gases in all spatial dimensions, being exact in one dimension and, likely, approximate in all others. In $\bm{d}$ dimensions, the quasi-breathing half-period assumes the form $T_{\text{quasi-breathing}}/2 \equiv t^{*} = \arctan(\sqrt{d})/(2\pi) T$. Remaining unresolved is the origin of the period-$2T$ breathing, reported in the same experiment. |
Note: | Reproducció del document publicat a: https://doi.org/10.21468/SciPostPhys.12.3.092 |
It is part of: | SciPost Physics, 2022, vol. 12, num. 092 |
URI: | http://hdl.handle.net/2445/194406 |
Related resource: | https://doi.org/10.21468/SciPostPhys.12.3.092 |
ISSN: | 2542-4653 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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