The Condensation of Ideal Dunkl-Bose Gas in Power-Law Traps
arXiv:2312.17585 · doi:10.1007/s12648-024-03311-3
Abstract
We explore the phenomenon of Bose-Einstein condensation in two and one-dimensional Dunkl-boson gases confined within a power-law potential, employing the framework of Dunkl-deformed boson theory. Our investigation involves the calculation of particle numbers and phase transition temperatures using the Dunkl formalism. To assess the validity of our findings, we compare them with the corresponding results obtained from the standard approach. We find that the impact of the Dunkl-formalism on the condensate fractions is similar in one and two-dimensional cases. However, we see that this conclusion is not fully valid for the phase transition temperature.
arXiv comment13 pages, 4 figures
References in corpus (59)
- Many-Body Physics with Ultracold Gases
- Theory of Bose-Einstein condensation in trapped gases
- The physics of dipolar bosonic quantum gases
- Bose-Einstein condensation of chromium
- Realization of Bose-Einstein condensates in lower dimensions
- A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
- Josephson Junction Arrays with Bose-Einstein Condensates
- Bose-Einstein Condensation of Erbium
- Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
- Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
- Superfluid and Dissipative Dynamics of a Bose-Einstein Condensate in a Periodic Optical Potential
- Unconventional Bose-Einstein condensations from spin-orbit coupling
- Exact operator solution of the Calogero-Sutherland model
- Gravitational Bose-Einstein condensation in the kinetic regime
- Expansion of a coherent array of Bose-Einstein condensates
- Deformed Heisenberg algebra, fractional spin fields and supersymmetry without fermions
- Bose-Einstein condensation of atomic gases in a harmonic oscillator confining potential trap
- Deformed Heisenberg algebra with reflection
- Quasi 2D Bose-Einstein condensation in an optical lattice
- Anyon wave equations and the noncommutative plane
- The Dunkl oscillator in the plane II : representations of the symmetry algebra
- Common Algebraic Structure for the Calogero-Sutherland Models
- Bose-Einstein Condensation in the Relativistic Pion Gas: Thermodynamic Limit and Finite Size Effects
- Deformed Heisenberg algebra and fractional spin field in 2+1 dimensions
- Exact Solutions of the 2D Dunkl--Klein--Gordon Equation: The Coulomb Potential and the Klein--Gordon Oscillator
- Density of states for Bose-Einstein condensation in harmonic oscillator potentials
- Dunkl-Klein-Gordon equation in three-dimensions: The Klein-Gordon oscillator and Coulomb Potential
- Thermal Properties of Relativistic Dunkl Oscillators
- Three aspects of bosonized supersymmetry and linear differential field equation with reflection
- Fractional helicity, Lorentz symmetry breaking, compactification and anyons
- Bose-Einstein condensation in dark power-law laser traps
- Dunkl-Graphene in constant magnetic field
- Nonlinear supersymmetry in the quantum Calogero model
- Exact solution of two dimensional Dunkl harmonic oscillator in Non-Commutative phase-space
- R-deformed Heisenberg algebra, anyons and d=2+1 supersymmetry
- Relativistic Solutions of Generalized-Dunkl Harmonic and Anharmonic Oscillators
- On the Path Integral Formulation of Wigner-Dunkl Quantum Mechanics
- Landau levels for the Dunkl-Klein-Gordon oscillator
- Bose-Einstein condensation with a finite number of particles in a power-law trap
- Ideal Bose Gas and Blackbody Radiation in the Dunkl Formalism
- Dunkl-Pauli Equation in the Presence of a Magnetic Field
- The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic
- Effect of the two-parameter generalized Dunkl derivative on the two-dimensional Schrödinger equation
- Thermodynamics of bosons systems related to Dunkl differential-difference operators
- Bose-Einstein condensation in the Rindler space
- Bosonized supersymmetry from the Majorana-Dirac-Staunton theory and massive higher-spin fields
- Following the Higgs mode across the BCS-BEC crossover in two dimensions
- Symmetric Functions and B_N-invariant Spherical Harmonics
- Spontaneous symmetry breaking in gauge theories via Bose-Einstein condensation
- Bose-Einstein condensation and independent production of pions
- Observability of Higgs Mode in a system without Lorentz invariance
- On Dunkl-Bose-Einstein Condensation in Harmonic Traps
- Bose-Einstein condensation of pions in proton-proton collisions at the Large Hadron Collider using non-extensive Tsallis statistics
- Renormalization theory of a two dimensional Bose gas: quantum critical point and quasi-condensed state
- A Bose-Einstein condensation model for high-temperature superconductivity
- Conductivity Enhancement in a Diffusive Fermi Liquid due to Bose-Einstein Condensation of Magnons
- Ground states of atomic Fermi gases in a two-dimensional optical lattice with and without population imbalance
- Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
- Use of two-body correlated basis functions with van der Waals interaction to study the shape-independent approximation for a large number of trapped interacting bosons
Cited by in corpus (8)
- Dunkl-Pauli Equation in the Presence of a Magnetic Field
- Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential
- One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach
- Dunkl-Klein-Gordon Equation in Higher Dimensions
- Bounding the Wigner Deformation Parameter in Harmonically Trapped Bose Gases
- Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications
- A Generalization of the Parametric Amplifier with Dunkl Derivative: Spectral and Statistical Properties
- Exact Solutions of the Schrödinger-Dunkl Equation for a Free Particle in a Finite and Infinite Cylindrical Well