Thermodynamic properties of trapped, two-dimensional interacting Bose gases in Hartree-Fock approximation

1999 ◽  
Vol 32 (23) ◽  
pp. 5575-5581 ◽  
Author(s):  
Jae Gil Kim ◽  
Eok Kyun Lee
Keyword(s):  
Thermodynamic Properties ◽  
Two Dimensional ◽  
Bose Gases ◽  
Hartree Fock

Hartree-Fock calculation for trapped, two-dimensional interacting Bose gases of finite size

2000 ◽  
Vol 33 (13) ◽  
pp. 2559-2569 ◽  
Author(s):  
Jae Gil Kim ◽  
Kab Seok Kang ◽  
Bong Soo Kim ◽  
Eok Kyun Lee
Keyword(s):  
Finite Size ◽  
Two Dimensional ◽  
Bose Gases ◽  
Hartree Fock

Thermodynamic properties of charged ideal spin-1 bosons in a trap under a magnetic field

2014 ◽  
Vol 28 (26) ◽  
pp. 1450206 ◽  
Author(s):  
Yushan Li
Keyword(s):  
Magnetic Field ◽  
Critical Temperature ◽  
External Magnetic Field ◽  
Thermodynamic Properties ◽  
Bose Gases ◽  
Spin Factor ◽  
Classical Approximation ◽  
Spinless Case

Thermodynamics of trapped charged ideal spin-1 bosons confined in a magnetic field are investigated within semi-classical approximation and truncated-summation approach. It is shown that the critical temperature increases slightly at the first, and then decreases slowly with increasing external magnetic field. Charged spin-1 Bose gases present a crossover from diamagnetism to paramagnetism as the spin factor increases. Charged spin-1 Bose gases exhibit distinct thermodynamic behaviors from the spinless case.

scholarly journals Superfluid transition of homogeneous and trapped two-dimensional Bose gases

2007 ◽  
Vol 104 (5) ◽  
pp. 1476-1481 ◽  
Author(s):  
M. Holzmann ◽  
G. Baym ◽  
J.-P. Blaizot ◽  
F. Laloe
Keyword(s):  
Superfluid Transition ◽  
Two Dimensional ◽  
Bose Gases

PHASE SEPARATION IN THE TWO-DIMENSIONAL HUBBARD MODEL

2005 ◽  
Vol 19 (01n03) ◽  
pp. 299-302 ◽  
Author(s):  
M. YU ◽  
H. Q. LIN
Keyword(s):  
Phase Separation ◽  
Hubbard Model ◽  
Coulomb Interaction ◽  
Single Band ◽  
Study Phase ◽  
Two Dimensional ◽  
Stripe Phase ◽  
Hartree Fock ◽  
Band Filling

In this paper, we study phase separation in the two-dimensional single-band Hubbard model with the unrestricted Hartree-Fock(UHF) method and the restricted Hartree-Fock (RHF) method. We perform the calculation for square lattices and rectangle lattices. It is observed that the stripe phase exists and it depends on three aspects: geometry of the lattice, Coulomb interaction U and band filling n. To gain more physical insights, we consider the Hubbard model with spin dependent hoppings: t↑ and t↓, and study the effect of varying [Formula: see text] on the phase separation.

scholarly journals Josephson oscillations in split one-dimensional Bose gases

2021 ◽  
Vol 10 (4) ◽  
Author(s):  
Yuri Daniel van Nieuwkerk ◽  
Jörg Schmiedmayer ◽  
Fabian Essler
Keyword(s):  
Three Dimensional ◽  
Time Dependent ◽  
Dimensional Theory ◽  
Bose Gases ◽  
Microscopic Description ◽  
One Dimensional ◽  
Hartree Fock ◽  
Equilibrium Dynamics ◽  
Self Consistent ◽  
Double Well Potential

We consider the non-equilibrium dynamics of a weakly interacting Bose gas tightly confined to a highly elongated double well potential. We use a self-consistent time-dependent Hartree--Fock approximation in combination with a projection of the full three-dimensional theory to several coupled one-dimensional channels. This allows us to model the time-dependent splitting and phase imprinting of a gas initially confined to a single quasi one-dimensional potential well and obtain a microscopic description of the ensuing damped Josephson oscillations.

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