Phase transition, phase separation and mode softening of a two-component Bose-Einstein condensate in an optical cavity

Fuente: arXiv
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Autori principali: Lin, Jia-Ying, Qin, Wei, Liao, Renyuan
Natura: Preprint
Pubblicazione: 2026
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author Lin, Jia-Ying
Qin, Wei
Liao, Renyuan
author_facet Lin, Jia-Ying
Qin, Wei
Liao, Renyuan
contents We investigate the superradiant phase transition in a two-component Bose-Einstein condensate with distinct atomic detunings, confined in an optical cavity and driven by a transverse pump laser. By combining perturbation theory and numerical simulations, we demonstrate that the phase transition is dominated by the red-detuned component, resulting in a phase diagram completely different from that of a single-component case under blue-detuned condition. The system exhibits spontaneous phase separation between the two components, manifested as alternating stripe patterns in the normal phase and distinct Bragg gratings in the superradiant phase. Furthermore, the Bogoliubov excitation spectrum reveals roton-type mode softening, indicating that the phase transition also corresponds to the superfluid-to-lattice supersolid transition. Our findings provide insights into the interplay between atomic detunings and collective quantum many-body phenomena, offering potential applications in quantum simulation and optical switching technologies.
format Preprint
id arxiv_https___arxiv_org_abs_2601_07772
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Phase transition, phase separation and mode softening of a two-component Bose-Einstein condensate in an optical cavity
Lin, Jia-Ying
Qin, Wei
Liao, Renyuan
Quantum Gases
Quantum Physics
We investigate the superradiant phase transition in a two-component Bose-Einstein condensate with distinct atomic detunings, confined in an optical cavity and driven by a transverse pump laser. By combining perturbation theory and numerical simulations, we demonstrate that the phase transition is dominated by the red-detuned component, resulting in a phase diagram completely different from that of a single-component case under blue-detuned condition. The system exhibits spontaneous phase separation between the two components, manifested as alternating stripe patterns in the normal phase and distinct Bragg gratings in the superradiant phase. Furthermore, the Bogoliubov excitation spectrum reveals roton-type mode softening, indicating that the phase transition also corresponds to the superfluid-to-lattice supersolid transition. Our findings provide insights into the interplay between atomic detunings and collective quantum many-body phenomena, offering potential applications in quantum simulation and optical switching technologies.
title Phase transition, phase separation and mode softening of a two-component Bose-Einstein condensate in an optical cavity
topic Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2601.07772