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

scholarly journals Many-body and temperature effects in two-dimensional quantum droplets in Bose–Bose mixtures

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Abdelâali Boudjemâa
Keyword(s):  
Finite Temperature ◽  
Temperature Effects ◽  
Local Density ◽  
Finite Size ◽  
Pitaevskii Equation ◽  
Two Dimensional ◽  
Interspecies Interactions ◽  
Many Body ◽  
Monte Carlo Data ◽  
Hartree Fock

AbstractWe study the equilibrium properties of self-bound droplets in two-dimensional Bose mixtures employing the time-dependent Hartree–Fock–Bogoliubov theory. This theory allows one to understand both the many-body and temperature effects beyond the Lee–Huang–Yang description. We calculate higher-order corrections to the excitations, the sound velocity, and the energy of the droplet. Our results for the ground-state energy are compared with the diffusion Monte Carlo data and good agreement is found. The behavior of the depletion and anomalous density of the droplet is also discussed. At finite temperature, we show that the droplet emerges at temperatures well below the Berezinskii–Kosterlitz–Thouless transition temperature. The critical temperature strongly depends on the interspecies interactions. Our study is extended to the finite size droplet by numerically solving the generalized finite-temperature Gross-Pitaevskii equation which is obtained self-consistently from our formalism in the framework of the local density approximation.

The partial realization theory of finite size two-dimensional arrays

1981 ◽  
Vol 64 (10) ◽  
pp. 1-8
Author(s):  
Tsuyoshi Matsuo ◽  
Yasumichi Hasegawa ◽  
Yoshikuni Okada
Keyword(s):  
Finite Size ◽  
Two Dimensional ◽  
Realization Theory

THE CRITICAL BEHAVIOR OF THE 2D SPIN-1 ISING MODEL WITH THE BILINEAR AND POSITIVE BIQUADRATIC NEAREST NEIGHBOR INTERACTIONS ON A CELLULAR AUTOMATON

2004 ◽  
Vol 15 (10) ◽  
pp. 1425-1438 ◽  
Author(s):  
A. SOLAK ◽  
B. KUTLU
Keyword(s):  
Cellular Automaton ◽  
Phase Boundary ◽  
Critical Behavior ◽  
Nearest Neighbor ◽  
Finite Size ◽  
Square Lattice ◽  
Two Dimensional ◽  
Finite Size Scaling ◽  
Creutz Cellular Automaton ◽  
Beg Model

The two-dimensional BEG model with nearest neighbor bilinear and positive biquadratic interaction is simulated on a cellular automaton, which is based on the Creutz cellular automaton for square lattice. Phase diagrams characterizing phase transitions of the model are presented for comparison with those obtained from other calculations. We confirm the existence of the tricritical points over the phase boundary for D/K>0. The values of static critical exponents (α, β, γ and ν) are estimated within the framework of the finite size scaling theory along D/K=-1 and 1 lines. The results are compatible with the universal Ising critical behavior except the points over phase boundary.

Two-dimensional discrete photonic crystals of finite size

2004 ◽  
Author(s):  
Laurence Le Floc'h ◽  
Veronique Quintard ◽  
Jean-Francois Favennec ◽  
Yann G. Boucher
Keyword(s):  
Photonic Crystals ◽  
Finite Size ◽  
Two Dimensional

Analysis of the New Unrestricted Hartree-Fock Vortex Solution of the Hubbard Hamiltonian in Two-Dimensional Systems A Small-Cluster Study

1992 ◽  
Vol 173 (2) ◽  
pp. 715-724 ◽  
Author(s):  
E. Louis ◽  
J. Galán ◽  
F. Guinea ◽  
J. A. Vergés ◽  
J. Ferrer
Keyword(s):  
Small Cluster ◽  
Two Dimensional ◽  
Hubbard Hamiltonian ◽  
Hartree Fock ◽  
Vortex Solution

Crystal to Glass Transition and Melting in Two Dimensions

1993 ◽  
Vol 321 ◽  
Author(s):  
M. Li ◽  
W. L. Johnson ◽  
W. A. Goddard
Keyword(s):  
Glass Transition ◽  
Intermediate Phase ◽  
Orientational Order ◽  
Finite Size ◽  
Two Dimensions ◽  
Size Difference ◽  
Two Dimensional ◽  
Atomic Size ◽  
Bond Orientational Order ◽  
Dynamics Simulations

ABSTRACTThermodynamic properties, structures, defects and their configurations of a two-dimensional Lennard-Jones (LJ) system are investigated close to crystal to glass transition (CGT) via molecular dynamics simulations. The CGT is achieved by saturating the LJ binary arrays below glass transition temperature with one type of the atoms which has different atomic size from that of the host atoms. It was found that for a given atomic size difference larger than a critical value, the CGT proceeds with increasing solute concentrations in three stages, each of which is characterized by distinct behaviors of translational and bond-orientational order correlation functions. An intermediate phase which has a quasi-long range orientational order but short range translational order has been found to exist prior to the formation of the amorphous phase. The destabilization of crystallinity is observed to be directly related to defects. We examine these results in the context of two dimensional (2D) melting theory. Finite size effects on these results, in particular on the intermediate phase formation, are discussed.

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
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