Classical field simulation of vortex lattice melting in a two-dimensional fast rotating Bose gas
Abstract
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.
Related
- An on-lattice model for two-dimensional melting
- A non-uniform local reference frame method for the simulation of rotating geometries with non-conformal grids on the hybrid recursive regularized lattice Boltzmann method
- Quasi-Two-Dimensional Simulation of a Rotating Detonation Engine Combustor and Injector
- Generalized m-body mean-field projections for classical simulation of d-dimensional Heisenberg-picture dynamics
- Non-Abelian string melting and thermalization in an open lattice gauge theory
BibTeX
@article{bereta2026classical,
title = {{Classical field simulation of vortex lattice melting in a two-dimensional fast rotating Bose gas}},
author = {Sálvio Jacob Bereta and Lucas Madeira and Mônica Caracanhas and Hélène Perrin and Romain Dubessy},
journal = {New Journal of Physics},
year = {2026},
month = jun,
doi = {10.1088/1367-2630/ae7ab2},
eprint = {2603.01911},
archivePrefix = {arXiv},
url = {https://amu.hal.science/hal-05528326v2},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Classical field simulation of vortex lattice melting in a two-dimensional fast rotating Bose gas
AU - Sálvio Jacob Bereta
AU - Lucas Madeira
AU - Mônica Caracanhas
AU - Hélène Perrin
AU - Romain Dubessy
PY - 2026
DA - 2026/06/26
JO - New Journal of Physics
DO - 10.1088/1367-2630/ae7ab2
UR - https://amu.hal.science/hal-05528326v2
AB - 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.
SN - 1367-2630
ER -