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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...
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. ...
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...
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...
Observation of Superfluorescence from a Spontaneous Coherence of Excitons in ZnTe Crystal: Evidence for Bose-Einstein Condensation of Excitons?
Superfluorescence Spontaneous Coherence Excitons ZnTe Crystal Bose-Einstein Condensation
2011/8/11
Abstract: Superfluorescence (SF) is the emission from a dense coherent system in population inversion, formed from an initially incoherent ensemble. This is characterised by an induction time (t_D) fo...
Bose-Einstein condensation transition studies for atoms confined in Laguerre-Gaussian laser modes
Bose-Einstein condensation transition atoms Laguerre-Gaussian laser modes Atomic Physics
2011/8/1
Abstract: Multiply-connected traps for cold, neutral atoms fix vortex cores of quantum gases. Laguerre-Gaussian laser modes are ideal for such traps due to their phase stability. We report theoretical...
Bose-Einstein condensation transition studies for atoms confined in Laguerre-Gaussian laser modes
Bose-Einstein condensation transition atoms Laguerre-Gaussian laser modes Atomic Physics
2011/8/1
Abstract: Multiply-connected traps for cold, neutral atoms fix vortex cores of quantum gases. Laguerre-Gaussian laser modes are ideal for such traps due to their phase stability. We report theoretical...
Phase transition to Bose-Einstein condensation for a Bosonic gas confined in a combined trap
Bose-Einstein condensation Bosonic gas confined
2010/11/22
We present a study of phase transition to macroscopic superfluidity for an ultracold bosonic gas confined in a combined trap formed by a one-dimensional optical lattice and a harmonic potential,focusi...
Relevance of Bose-Einstein Condensation to the Interference of Two Independent Bose Gases
Bose-Einstein Condensation Two Independent Bose Gases
2010/11/18
Interference of two independently prepared ideal Bose gases is discussed, on the basis of the idea of measurement-induced interference: even if the number of each gas is individually fixed finite and ...