Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.01911 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910038005645312 |
|---|---|
| author | Bereta, Sálvio Jacob Madeira, Lucas Caracanhas, Mônica A. Perrin, Hélène Dubessy, Romain |
| author_facet | Bereta, Sálvio Jacob Madeira, Lucas Caracanhas, Mônica A. Perrin, Hélène Dubessy, Romain |
| contents | We present a classical field simulation study of the thermal melting of a two-dimensional vortex lattice in a rotating Bose gas, focusing on the role of finite-size effects on the melting temperature. This work constitutes a numerical continuation of the recent experimental investigation reported in [Physical Review Letters 133, 143401 (2024)], which addressed the thermal melting of a vortex lattice in a quasi-two-dimensional Bose gas. Using the stochastic projected Gross-Pitaevskii equation in a harmonic plus quartic trap, we simulate the finite-temperature equilibrium state and extract vortex configurations from density snapshots. Clear signatures of the two-step Kosterlitz--Thouless--Halperin--Nelson--Young melting scenario are identified. Our simulations enable a detailed characterization of the crystalline, hexatic, and liquid phases through correlation functions quantifying the translational and orientational order and through defect statistics. Finite-size effects are shown to play a crucial role at lower rotation frequencies, affecting the proliferation of lattice defects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01911 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classical field simulation of vortex lattice melting in a two-dimensional fast rotating Bose gas Bereta, Sálvio Jacob Madeira, Lucas Caracanhas, Mônica A. Perrin, Hélène Dubessy, Romain Quantum Gases We present a classical field simulation study of the thermal melting of a two-dimensional vortex lattice in a rotating Bose gas, focusing on the role of finite-size effects on the melting temperature. This work constitutes a numerical continuation of the recent experimental investigation reported in [Physical Review Letters 133, 143401 (2024)], which addressed the thermal melting of a vortex lattice in a quasi-two-dimensional Bose gas. Using the stochastic projected Gross-Pitaevskii equation in a harmonic plus quartic trap, we simulate the finite-temperature equilibrium state and extract vortex configurations from density snapshots. Clear signatures of the two-step Kosterlitz--Thouless--Halperin--Nelson--Young melting scenario are identified. Our simulations enable a detailed characterization of the crystalline, hexatic, and liquid phases through correlation functions quantifying the translational and orientational order and through defect statistics. Finite-size effects are shown to play a crucial role at lower rotation frequencies, affecting the proliferation of lattice defects. |
| title | Classical field simulation of vortex lattice melting in a two-dimensional fast rotating Bose gas |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2603.01911 |