The Condensation of Ideal Dunkl-Bose Gas in Power-Law Traps

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.

13 pages, 4 figures

References in corpus (24)

• Many-Body Physics with Ultracold Gases
• Bose-Einstein condensation of chromium
• Bose-Einstein Condensation of Erbium
• Bose-Einstein Condensation in the Relativistic Pion Gas: Thermodynamic Limit and Finite Size Effects
• Exact Solutions of the 2D Dunkl--Klein--Gordon Equation: The Coulomb Potential and the Klein--Gordon Oscillator
• Dunkl-Klein-Gordon equation in three-dimensions: The Klein-Gordon oscillator and Coulomb Potential
• Thermal Properties of Relativistic Dunkl Oscillators
• Dunkl-Graphene in constant magnetic field
• Relativistic Solutions of Generalized-Dunkl Harmonic and Anharmonic Oscillators
• Exact solution of two dimensional Dunkl harmonic oscillator in Non-Commutative phase-space
• On the Path Integral Formulation of Wigner-Dunkl Quantum Mechanics
• Landau levels for the $(2+1)$ Dunkl-Klein-Gordon oscillator
• Ideal Bose Gas and Blackbody Radiation in the Dunkl Formalism
• The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic
• Dunkl-Pauli Equation in the Presence of a Magnetic Field
• Effect of the two-parameter generalized Dunkl derivative on the two-dimensional Schrödinger equation
• 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
• 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
• Ground states of atomic Fermi gases in a two-dimensional optical lattice with and without population imbalance
• Conductivity Enhancement in a Diffusive Fermi Liquid due to Bose-Einstein Condensation of Magnons
• Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates

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