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Autori principali: Johansen, Christian H., Lang, Johannes, Piazza, Francesco
Natura: Preprint
Pubblicazione: 2023
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Accesso online:https://arxiv.org/abs/2310.16661
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author Johansen, Christian H.
Lang, Johannes
Piazza, Francesco
author_facet Johansen, Christian H.
Lang, Johannes
Piazza, Francesco
contents We consider continuous time-crystalline phases in dissipative many-body systems of atoms in cavities, focusing on the role of short-range interatomic interactions. First, we show that the latter can alter the nature of the time crystal by changing the type of the underlying critical bifurcation. Second, we characterize the heating mechanism and dynamics resulting from the short-range interactions and demonstrate that they make the time crystal inherently metastable. We argue that this is generic for the broader class of dissipative time crystals in atom-cavity systems whenever the cavity loss rate is comparable to the atomic recoil energy. We observe that such a scenario for heating resembles the one proposed for preheating of the early universe, where the oscillating coherent inflation field decays into a cascade of exponentially growing fluctuations. By extending approaches for dissipative dynamical systems to our many-body problem, we obtain analytical predictions for the parameters describing the phase transition and the heating rate inside the time-crystalline phase. We underpin and extend the analytical predictions of the heating rates with numerical simulations.
format Preprint
id arxiv_https___arxiv_org_abs_2310_16661
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The role of atomic interactions in cavity-induced continuous time crystals
Johansen, Christian H.
Lang, Johannes
Piazza, Francesco
Quantum Gases
Statistical Mechanics
We consider continuous time-crystalline phases in dissipative many-body systems of atoms in cavities, focusing on the role of short-range interatomic interactions. First, we show that the latter can alter the nature of the time crystal by changing the type of the underlying critical bifurcation. Second, we characterize the heating mechanism and dynamics resulting from the short-range interactions and demonstrate that they make the time crystal inherently metastable. We argue that this is generic for the broader class of dissipative time crystals in atom-cavity systems whenever the cavity loss rate is comparable to the atomic recoil energy. We observe that such a scenario for heating resembles the one proposed for preheating of the early universe, where the oscillating coherent inflation field decays into a cascade of exponentially growing fluctuations. By extending approaches for dissipative dynamical systems to our many-body problem, we obtain analytical predictions for the parameters describing the phase transition and the heating rate inside the time-crystalline phase. We underpin and extend the analytical predictions of the heating rates with numerical simulations.
title The role of atomic interactions in cavity-induced continuous time crystals
topic Quantum Gases
Statistical Mechanics
url https://arxiv.org/abs/2310.16661