Representations of the diffeomorphism group describing an infinite Bose gas in the presence of ideal vortex filaments

1990 ◽  
Vol 31 (6) ◽  
pp. 1535-1543 ◽  
Author(s):  
Uwe K. Albertin ◽  
Harry L. Morrison
Keyword(s):  
Bose Gas ◽  
Diffeomorphism Group ◽  
Vortex Filaments

Particle number fluctuations in an ideal Bose gas

1997 ◽  
Vol 44 (10) ◽  
pp. 1801-1814 ◽  
Author(s):  
MARTIN WILKENS and CHRISTOPH WEISS
Keyword(s):  
Particle Number ◽  
Bose Gas ◽  
Ideal Bose Gas

The Centralizer

2018 ◽  
Author(s):  
Ercüment H. Ortaçgil
Keyword(s):  
Lie Group ◽  
Group Structure ◽  
Diffeomorphism Group ◽  
Group Diff ◽  
Local Solutions

The pseudogroup of local solutions in Chapter 3 defines another pseudogroup by taking its centralizer inside the diffeomorphism group Diff(M) of a manifold M. These two pseudogroups define a Lie group structure on M.

scholarly journals Cascades and reconnection in interacting vortex filaments

2021 ◽  
Vol 6 (7) ◽  
Author(s):  
Rodolfo Ostilla-Mónico ◽  
Ryan McKeown ◽  
Michael P. Brenner ◽  
Shmuel M. Rubinstein ◽  
Alain Pumir
Keyword(s):  
Vortex Filaments

scholarly journals Correlations of stripe phase in one-dimensional spin-orbit coupled Bose gas

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Clemens Staudinger ◽  
Martin Panholzer ◽  
Robert E. Zillich
Keyword(s):  
Bose Gas ◽  
Spin Orbit ◽  
Stripe Phase ◽  
One Dimensional

scholarly journals Practical scheme for a light-induced gauge field in an atomic Bose gas

2009 ◽  
Vol 79 (1) ◽  
Author(s):  
Kenneth J. Günter ◽  
Marc Cheneau ◽  
Tarik Yefsah ◽  
Steffen P. Rath ◽  
Jean Dalibard
Keyword(s):  
Gauge Field ◽  
Bose Gas ◽  
Practical Scheme

scholarly journals Crossover in the dynamical critical exponent of a quenched two-dimensional Bose gas

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
A. J. Groszek ◽  
P. Comaron ◽  
N. P. Proukakis ◽  
T. P. Billam
Keyword(s):  
Critical Exponent ◽  
Bose Gas ◽  
Two Dimensional

scholarly journals Structural superfluid–Mott-insulator transition for a Bose gas in multirods

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Omar Abel Rodríguez-López ◽  
M. A. Solís ◽  
J. Boronat
Keyword(s):  
Mott Insulator ◽  
Bose Gas ◽  
Insulator Transition

scholarly journals Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas

2021 ◽  
Vol 60 (3) ◽  
Author(s):  
Phan Thành Nam ◽  
Marcin Napiórkowski
Keyword(s):  
Density Matrix ◽  
Ground State ◽  
Mean Field ◽  
Interaction Strength ◽  
Bose Gas ◽  
Body Density ◽  
The Mean ◽  
The One ◽  
Mean Field Regime ◽  
Number Of Particles

AbstractWe consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle number. In the limit when the number of particles becomes large, we derive a two-term expansion of the one-body density matrix of the ground state. The proof is based on a cubic correction to Bogoliubov’s approximation of the ground state energy and the ground state.

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