scholarly journals Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach

2017 ◽  
Vol 50 (3) ◽  
pp. 034003 ◽  
Author(s):  
V J Bolsinger ◽  
S Krönke ◽  
P Schmelcher
Keyword(s):  
Mean Field ◽  
Higher Dimensions ◽  
Configurational Approach ◽  
Bosonic Atoms ◽  
Cold Bosonic Atoms

scholarly journals Multisite mean-field theory for cold bosonic atoms in optical lattices

2012 ◽  
Vol 86 (1) ◽  
Author(s):  
T. McIntosh ◽  
P. Pisarski ◽  
R. J. Gooding ◽  
E. Zaremba
Keyword(s):  
Field Theory ◽  
Optical Lattices ◽  
Mean Field Theory ◽  
Mean Field ◽  
Bosonic Atoms ◽  
Cold Bosonic Atoms

scholarly journals Quantum theory of cold bosonic atoms in optical lattices

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
Dagim Tilahun ◽  
R. A. Duine ◽  
A. H. MacDonald
Keyword(s):  
Quantum Theory ◽  
Optical Lattices ◽  
Bosonic Atoms ◽  
Cold Bosonic Atoms

INTERACTING BOSONIC ATOMS WITH RANDOM POTENTIAL IN OPTICAL LATTICES

2009 ◽  
Vol 23 (11) ◽  
pp. 1391-1404
Author(s):  
WEI LIU ◽  
JIAN-YANG ZHU
Keyword(s):  
Optical Lattice ◽  
Optical Lattices ◽  
Mean Field Theory ◽  
Mean Field ◽  
Temperature Phase ◽  
Optical Parameters ◽  
Xxz Model ◽  
Bose Glass ◽  
The Mean ◽  
Bosonic Atoms

In this paper, we study the ultracold atoms in optical lattice with a weak random external potential by an extended Bose–Hubbard model. When the on-site interaction is strong enough, the model can be mapped to the XXZ model. Then the mean-field theory is applied and we get the zero- and finite-temperature phase diagrams in different optical parameters. The differences between the systems with and without disorder were found, and the Bose-glass phase may exist in the system with disorder.

Phase Transitions and the Ising Model

2019 ◽  
pp. 423-446
Author(s):  
Robert H. Swendsen
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Landau Theory ◽  
Magnetic Moments ◽  
Mean Field ◽  
Higher Dimensions ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Ising Chain ◽  
The Mean

Chapter 17 presented one example of a phase transition, the van der Waals gas. This chapter provides another, the Ising model, a widely studied model of phase transitions. We first give the solution for the Ising chain (one-dimensional model), including the introduction of the transfer matrix method. Higher dimensions are treated in the Mean Field Approximation (MFA), which is also extended to Landau theory. The Ising model is deceptively simple. It can be defined in a few words, but it displays astonishingly rich behavior. It originated as a model of ferromagnetism in which the magnetic moments were localized on lattice sites and had only two allowed values.

Quantum Phase Transition in Two Species of Cold Bosonic Atoms

2007 ◽  
Vol 47 (3) ◽  
pp. 467-470
Author(s):  
Yu Zhao-Xian ◽  
Liang Jiu-Qing ◽  
Jiao Zhi-Yong ◽  
Wang Ji-Suo
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Bosonic Atoms ◽  
Cold Bosonic Atoms

scholarly journals Transport and interaction blockade of cold bosonic atoms in a triple-well potential

2010 ◽  
Vol 12 (6) ◽  
pp. 065020 ◽  
Author(s):  
P Schlagheck ◽  
F Malet ◽  
J C Cremon ◽  
S M Reimann
Keyword(s):  
Bosonic Atoms ◽  
Cold Bosonic Atoms
Sign in / Sign up

Export Citation Format

Share Document