Phase transition dimensionality crossover from two to three dimensions in a trapped ultracold atomic Bose gas
arXiv:2204.10120 · doi:10.1103/PhysRevResearch.4.033130
Abstract
The equilibrium properties of a weakly interacting atomic Bose gas across the Berezinskii-Kosterlitz-Thouless (BKT) and Bose-Einstein condensation (BEC) phase transitions are numerically investigated through a dimensionality crossover from two to three dimensions. The crossover is realised by confining the gas in an experimentally feasible hybridised trap which provides homogeneity along the planar xy-directions through a box potential in tandem with a harmonic transverse potential along the transverse z-direction. The dimensionality is modified by varying the frequency of the harmonic trap from tight to loose transverse trapping. Our findings, based on a stochastic (projected) Gross-Pitaevskii equation, showcase a continuous shift in the character of the phase transition from BKT to BEC, and a monotonic increase of the identified critical temperature as a function of dimensionality, with the strongest variation exhibited for small chemical potential values up to approximately twice the transverse confining potential
14 pages, 7 figures
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Cited by in corpus (8)
- Probing the Degree of Coherence through the Full 1D to 3D crossover
- Berezinskii-Kosterlitz-Thouless transitions in an easy-plane ferromagnetic superfluid
- Stochastic Gross-Pitaevskii theory for a spin-1 Bose gas: Application to superfluidity in two dimensions
- Interaction-Induced Dimensional Crossover through Full 3D to 1D
- Berezinskii-Kosterlitz-Thouless transitions in a ferromagnetic superfluid: effects of axial magnetization
- Interaction Quench Dynamics and Stability of Quantum Vortices in Rotating Bose-Einstein Condensates
- Equilibrium, Relaxation and Fluctuations in homogeneous Bose-Einstein Condensates: Linearized Classical Field Analysis
- Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk