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BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
We study stationary quantum fluctuations around a mean field limit in trapped, dilute atomic gases of repulsively interacting bosons at zero temperature. Our goal is to describe quantum-mechanically t...
ERRATUM:BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
This is a correction to the author’s article [Multiscale Model. Simul.,10 (2012), pp.383–417].
BOSE-EINSTEIN CONDENSATION AT FINITE TEMPERATURES:MEAN FIELD LAWS WITH PERIODIC MICROSTRUCTURE
quantum dynamics Bose-Einstein condensation periodic homogenization finite temperatures two-scale expansion mean field limit
2015/10/16
At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the lang...
Bose-Einstein condensation of tunnelling photons in the brain cortex as a mechanism of conscious action
Quantum brain dynamics (QBD) consciousness
2015/7/30
Mind is supposed to be a macroscopic quantum wave governing the dynamics of the quantum coherent cytoskeletal protein system inside the cytoplasm of the brain cortical neurons. Its dynamical timescale...
ANALYSIS OF A BOSE-EINSTEIN MARKOV CHAIN
Convergence rate markov chain stationarity k arcsine
2015/7/8
This paper gives sharp rates of convergence to stationarity for a Markov chain generating Bose-Einstein configurations of n balls in k boxes. The analysis leads to curious identities for the arc...
FLUCTUATIONS OF THE BOSE-EINSTEIN CONDENSATE。
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...
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....