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Bose-Einstein condensation in a harmonic potential
Bose - Einstein condensation thermodynamics space condensation the particles
2014/12/23
We examine several features of Bose-Einstein condensation (BEC) in an external harmonic potential well. In the thermodynamic limit, there is a phase transition to a spatial Bose-Einstein condensed sta...
Product Einstein Manifolds, Zeta-Function Regularization and the Multiplicative Anomaly
Addition multiplication Laplace symmetric Spaces the product space
2014/12/22
The global additive and multiplicative properties of Laplace type operators acting on irreducible rank 1 symmetric spaces are considered. The explicit form of the zeta function on product spaces and o...
A study of Bose-Einstein condensation in a two-dimensional trapped gas
Bose - Einstein condensation particles bose particle condensed state thermodynamics
2014/12/22
We examine the possibility of Bose-Einstein condensation (BEC) in two-dimensional (2D) system of interacting particles in a trap. We use a self-consistent mean-field theory of Bose particles interacti...
Validity of the Hohenberg Theorem for a Generalized Bose-Einstein Condensation in Two Dimensions
Bose - Einstein condensation horn theorem states generalized condensation
2014/12/22
Several authors have considered the possibility of a generalized Bose-Einstein condensation (BEC) in which a band of low states is occupied so that the total occupation number is macroscopic, even if ...
The loop-gas approach to Bose-Einstein condensation for trapped particles
Bose - Einstein condensation particles the wave function is symmetrical cellular automata harmonic oscillator
2014/12/22
We examine Bose–Einstein condensation (BEC) for particles trapped in a harmonic potential by considering it as a transition in the length of permutation cycles that arise from wave-function symmetry. ...
The two-dimensional Bose-Einstein condensate
Trapped bose gas low temperature condensation thermodynamics
2014/12/20
We study the Hartree–Fock–Bogoliubov mean-field theory as applied to a two-dimensional finite trapped Bose gas at low temperatures and find that, in the Hartree–Fock approximation, the system can be d...
Bose-Einstein condensation, fluctuations, and recurrence relations in statistical mechanics
Gas bose Einstein condensation partition function condensation
2014/12/20
We calculate certain features of Bose–Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain...
Superfluid-Superfluid Phase Transitions in a Two-Component Bose-Einstein Condensate
Hamiltonian parameters bosons optical lattice superfluid superfluids vacuum
2014/12/20
Depending on the Hamiltonian parameters, two-component bosons in an optical lattice can form at least three different superfluid phases in which both components participate in the superflow: a (strong...
Absence of fragmentation in two-dimensional Bose-Einstein condensation
Bose gas condensate harmonic oscillator characteristic function
2014/12/20
We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density...
The origin of the phase in the interference of Bose-Einstein condensates
The condensation condensation wave function treatment the particles
2014/12/20
We consider the interference of two overlapping ideal Bose-Einstein condensates. The usual description of this phenomenon involves the introduction of a condensate wave function with a definite phase....
Evolution of additional (hidden) quantum variables in the interference of Bose-Einstein condensates
Additional variable hidden variables quantum mechanics the high concentration condensate
2014/12/20
Additional variables (also often called “hidden variables”) are sometimes added to standard quantum mechanics in order to remove its indeterminism or “incompleteness” and to make the measurement proce...
Nonlocal quantum effects with Bose-Einstein condensates
Quantum system condensate quantum measurement quantum mechanics
2014/12/20
Quantum systems in Fock states do not have a phase. When two or more Bose-Einstein condensates are sent into interferometers, they nevertheless acquire a relative phase under the effect of quantum mea...
Interference of Bose-Einstein condensates: Quantum nonlocal effects
Quantum measurement quantum system condensate particle measurement and quantum mechanics
2014/12/19
Quantum systems in Fock states do not have a phase. When two or more Bose-Einstein condensates are sent into interferometers, they nevertheless acquire a relative phase under the effect of quantum mea...
EPR argument and Bell inequalities for Bose-Einstein spin condensates
Condensate spin state quantum mechanical particles
2014/12/19
We discuss the properties of two Bose-Einstein condensates in different spin states, represented quantum mechanically by a double Fock state. Individual measurements of the spins of the particles are ...
Effects of boundaries and density inhomogeneity on states of vortex matter in Bose-Einstein condensates at finite temperature
Quantum vortices 3 d eddy current condensate vortex entanglement
2014/12/19
Most of the literature on quantum vortices predicting various states of vortex matter in three dimensions at finite temperatures in quantum fluids is based on the assumption of an extended and homogen...