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
arXiv comment14 pages, 7 figures
References in corpus (55)
- Theory of Bose-Einstein condensation in trapped gases
- Realization of Bose-Einstein condensates in lower dimensions
- Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
- Bose-Einstein condensation in quasi2D trapped gases
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Observation of vortex dipoles in an oblate Bose-Einstein condensate
- Critical behavior of the three-dimensional XY universality class
- Condensate fraction and critical temperature of a trapped interacting Bose gas
- Emergence of coherence in a uniform quasi-two-dimensional Bose gas
- Finite Temperature Models of Bose-Einstein Condensation
- Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
- Giant Vortex Clusters in a Two-Dimensional Quantum Fluid
- Order from chaos: Observation of large-scale flow from turbulence in a two-dimensional superfluid
- Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region
- Phase-fluctuating 3D condensates in elongated traps
- The stochastic Gross-Pitaevskii equation II
- Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
- Soliton creation during a Bose-Einstein condensation
- Bose-Einstein Condensation in a Harmonic Potential
- Low-dimensional Bose gases
- The trapped two-dimensional Bose gas: from Bose-Einstein condensation to Berezinskii-Kosterlitz-Thouless physics
- Bose-Einstein Condensation from a Rotating Thermal Cloud: Vortex Nucleation and Lattice Formation
- Phase fluctuations in atomic Bose gases
- Thermal activation of vortex-antivortex pairs in quasi-2D Bose-Einstein condensates
- Simulations of thermal Bose fields in the classical limit
- Sound propagation in a uniform superfluid two-dimensional Bose gas
- Stochastic Dynamics of a Trapped Bose-Einstein Condensate
- Critical temperature of a trapped Bose gas: comparison of theory and experiment
- Decay of a quantum vortex: test of non-equilibrium theories for warm Bose-Einstein condensates
- Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
- The Stochastic Gross-Pitaevskii Equation and some Applications
- Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas
- Kibble-Zurek scaling and its breakdown for spontaneous generation of Josephson vortices in Bose-Einstein condensates
- Connecting Berezinskii-Kosterlitz-Thouless and BEC phase transitions by tuning interactions in a trapped gas
- Vortex pairing in two-dimensional Bose gases
- Microcanonical temperature for a classical field: application to Bose-Einstein condensation
- Dynamical Equilibration Across a Quenched Phase Transition in a Trapped Quantum Gas
- Observation of Thermally Activated Vortex Pairs in a Quasi-2D Bose Gas
- Collisionless sound in a uniform two-dimensional Bose gas
- Numerical method for evolving the Projected Gross-Pitaevskii equation
- Superfluidity of an interacting trapped quasi-2D Bose gas
- Persistent current formation in a high-temperature Bose-Einstein condensate: an experimental test for c-field theory
- Dimensional and Temperature Crossover in Trapped Bose Gases
- Kibble-Zurek Dynamics in a Trapped Ultracold Bose Gas
- Ab initio methods for finite temperature two-dimensional Bose gases
- Critical properties of a trapped interacting Bose gas
- Quench dynamics of an ultracold two-dimensional Bose gas
- Dynamic Kosterlitz-Thouless transition in 2D Bose mixtures of ultra-cold atoms
- Finite temperature spin dynamics of a two-dimensional Bose-Bose atomic mixture
- Quench dynamics of the three-dimensional U(1) complex field theory: geometric and scaling characterisation of the vortex tangle
- Signatures of a universal jump in the superfluid density in two-dimensional Bose gas with finite number of particles
- Thermal quenches in the stochastic Gross-Pitaevskii equation: morphology of the vortex network
- Transition region properties of a trapped quasi-two-dimensional degenerate Bose gas
- Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
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