On Bose-Einstein condensation in one-dimensional lattices of delta functions

2020 ◽  
Vol 35 (03) ◽  
pp. 2040005 ◽  
Author(s):  
M. Bordag
Keyword(s):  
Dimensional Case ◽  
Einstein Condensation ◽  
Periodic Lattice ◽  
Spectral Functions ◽  
One Dimensional ◽  
Bose Einstein Condensation ◽  
Free Case ◽  
Delta Functions ◽  
The One ◽  
Bose Einstein

We investigate Bose-Einstein condensation of a gas of non-interacting Bose particles moving in the background of a periodic lattice of delta functions. In the one-dimensional case, where one has no condensation in the free case, we showed that this property persist also in the presence of the lattice. In addition we formulated some conditions on the spectral functions which would allow for condensation.

scholarly journals FRACTIONAL WINDINGS OF THE SPINOR CONDENSATES ON A RING

2013 ◽  
Vol 27 (16) ◽  
pp. 1350070
Author(s):  
YONG-KAI LIU ◽  
SHI-JIE YANG
Keyword(s):  
Arbitrary Spin ◽  
Spin Rotation ◽  
Einstein Condensation ◽  
One Dimensional ◽  
Bose Einstein Condensation ◽  
Spinor Condensates ◽  
Fractional Factor ◽  
Fractional Vortices ◽  
The One ◽  
Bose Einstein

We study the uniform solutions to the one-dimensional (1D) spinor Bose–Einstein condensates on a ring. These states explicitly display the associated motion of the super-current and the spin rotation, which give rise to fractional winding numbers according to the various compositions of the hyperfine states. It simultaneously yields a fractional factor to the global phase due to the spin-gauge symmetry. All fractional windings can be denoted as nk/(m+n), with nk<m+n<2F, for arbitrary spin-F Bose–Einstein condensation (BEC). Our method can be applied to explore the fractional vortices by identifying the ring as the boundary of two-dimensional (2D) spinor condensates.

Bose—Einstein Condensation in a One-Dimensional Model with Random Impurities

1973 ◽  
Vol 7 (2) ◽  
pp. 712-720 ◽  
Author(s):  
J. M. Luttinger ◽  
H. K. Sy
Keyword(s):  
Einstein Condensation ◽  
Dimensional Model ◽  
One Dimensional ◽  
Bose Einstein Condensation ◽  
Bose Einstein

scholarly journals Bose-Einstein condensation of triplons close to the quantum critical point in the quasi-one-dimensional spin- 12 antiferromagnet NaVOPO4

2019 ◽  
Vol 100 (14) ◽  
Author(s):  
Prashanta K. Mukharjee ◽  
K. M. Ranjith ◽  
B. Koo ◽  
J. Sichelschmidt ◽  
M. Baenitz ◽  
...  
Keyword(s):  
Critical Point ◽  
Quantum Critical Point ◽  
Einstein Condensation ◽  
One Dimensional ◽  
Bose Einstein Condensation ◽  
Quantum Critical ◽  
Bose Einstein

Suppression of Bose-Einstein condensation in one-dimensional scale-free random potentials

2010 ◽  
Vol 82 (17) ◽  
Author(s):  
I. N. de Oliveira ◽  
F. A. B. F. de Moura ◽  
R. A. Caetano ◽  
M. L. Lyra
Keyword(s):  
Einstein Condensation ◽  
Random Potentials ◽  
One Dimensional ◽  
Scale Free ◽  
Bose Einstein Condensation ◽  
Bose Einstein

Thermodynamic Properties of a q-Boson Gas Trapped in an n-Dimensional Harmonic Potential

2003 ◽  
Vol 10 (02) ◽  
pp. 135-145 ◽  
Author(s):  
Guozhen Su ◽  
Lixuan Chen ◽  
Jincan Chen
Keyword(s):  
Heat Capacity ◽  
Distribution Function ◽  
Critical Temperature ◽  
Thermodynamic Properties ◽  
Harmonic Potential ◽  
Einstein Condensation ◽  
Dimensional System ◽  
One Dimensional ◽  
Bose Einstein Condensation ◽  
Bose Einstein

The thermodynamic properties of an ideal q-boson gas trapped in an n-dimensional harmonic potential are studied, based on the distribution function of q-bosons. The critical temperature Tc,q of Bose-Einstein condensation (BEC) and the heat capacity C of the system are derived analytically. It is shown that for the q-boson gas trapped in a harmonic potential, BEC may occur in any dimension when q ≠ 1, the critical temperature is always higher than that of an ordinary Bose gas (q = 1), and the heat capacity is continuous at Tc,q for a one-dimensional system but discontinuous at Tc,q for a two- or multi-dimensional system.

scholarly journals Superfluidity, Bose-Einstein condensation, and structure in one-dimensional Luttinger liquids

2018 ◽  
Vol 97 (1) ◽  
Author(s):  
L. Vranješ Markić ◽  
H. Vrcan ◽  
Z. Zuhrianda ◽  
H. R. Glyde
Keyword(s):  
Einstein Condensation ◽  
Luttinger Liquids ◽  
One Dimensional ◽  
Bose Einstein Condensation ◽  
Bose Einstein

Harmonically confined Bose–Einstein condensation on the surface of a cylinder

2021 ◽  
pp. 2150285
Author(s):  
Meng-Jun Ou ◽  
Ji-Xuan Hou
Keyword(s):  
Einstein Condensation ◽  
Condensate Fraction ◽  
Two Dimensional ◽  
Canonical Partition Function ◽  
One Dimensional ◽  
Bose Einstein Condensation ◽  
Grand Canonical Partition Function ◽  
2D System ◽  
Bose Einstein ◽  
Grand Canonical

It is well known that Bose–Einstein condensation cannot occur in a free two-dimensional (2D) system. Recently, several studies have showed that BEC can occur on the surface of a sphere. We investigate BEC on the surface of cylinder on both sides of which atoms are confined in a one-dimensional (1D) harmonic potential. In this work, only the non-interacting Bose gas is considered. We determine the critical temperature and the condensate fraction in the geometry using the semi-classical approximation. Moreover, the thermodynamic properties of ideal bosons are also studied using the grand canonical partition function.

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