Phonon Dynamics in Spherically-Curved Analog-Gravity Bose-Einstein Condensates
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913976583979008 |
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| author | Chunn, J. Austin Zhai, Ruotong Sheehy, Daniel E. |
| author_facet | Chunn, J. Austin Zhai, Ruotong Sheehy, Daniel E. |
| contents | We study the low energy phonon dynamics of a Bose-Einstein condensate (BEC) with a density profile that is equivalent, via a coordinate transformation, to phonons traveling in a \lq\lq spherical\rq\rq\ curved spacetime that realizes the Friedman-Lemaître-Robertson-Walker (FLRW) metric. The metric of this BEC is characterized by its curvature $κ$ and a time-depdendent scale factor $a(t)$, with an increase in the latter corresponding to an expansion of the analog FLRW universe. We study the propagation of classical phonons in such BECs, finding that a sudden change in the scale factor induces ripples in the wave motion. In addition, we study quantum phonon creation (or vacuum amplification) due to the scale-factor modification and quantify their entanglement. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_03683 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phonon Dynamics in Spherically-Curved Analog-Gravity Bose-Einstein Condensates Chunn, J. Austin Zhai, Ruotong Sheehy, Daniel E. Quantum Gases We study the low energy phonon dynamics of a Bose-Einstein condensate (BEC) with a density profile that is equivalent, via a coordinate transformation, to phonons traveling in a \lq\lq spherical\rq\rq\ curved spacetime that realizes the Friedman-Lemaître-Robertson-Walker (FLRW) metric. The metric of this BEC is characterized by its curvature $κ$ and a time-depdendent scale factor $a(t)$, with an increase in the latter corresponding to an expansion of the analog FLRW universe. We study the propagation of classical phonons in such BECs, finding that a sudden change in the scale factor induces ripples in the wave motion. In addition, we study quantum phonon creation (or vacuum amplification) due to the scale-factor modification and quantify their entanglement. |
| title | Phonon Dynamics in Spherically-Curved Analog-Gravity Bose-Einstein Condensates |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2508.03683 |