scholarly journals Bose-Einstein condensate in a harmonic trap decorated with Diracδfunctions

2007 ◽  
Vol 76 (1) ◽  
Author(s):  
Haydar Uncu ◽  
Devrim Tarhan ◽  
Ersan Demiralp ◽  
Özgür E. Müstecaplıoğlu
Keyword(s):  
Einstein Condensate ◽  
Harmonic Trap ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals A BOSE-EINSTEIN CONDENSATE WITH PT-SYMMETRIC DOUBLE-DELTA FUNCTION LOSS AND GAIN IN A HARMONIC TRAP: A TEST OF RIGOROUS ESTIMATES

2014 ◽  
Vol 54 (2) ◽  
pp. 116-121 ◽  
Author(s):  
Daniel Haag ◽  
Holger Cartarius ◽  
Günter Wunner
Keyword(s):  
Delta Function ◽  
Einstein Condensate ◽  
Harmonic Trap ◽  
Bose Einstein Condensate ◽  
Quantum Numbers ◽  
Recent Estimate ◽  
Function Loss ◽  
Linear And Nonlinear ◽  
Adjoint Operators ◽  
Bose Einstein

We consider the linear and nonlinear Schrödinger equation for a Bose-Einstein condensate in a harmonic trap with <em>PT</em>-symmetric double-delta function loss and gain terms. We verify that the conditions for the applicability of a recent proposition by Mityagin and Siegl on singular perturbations of harmonic oscillator type self-adjoint operators are fulfilled. In both the linear and nonlinear case we calculate numerically the shifts of the unperturbed levels with quantum numbers n of up to 89 in dependence on the strength of the non-Hermiticity and compare with rigorous estimates derived by those authors. We confirm that the predicted 1/<em>n</em><sup>1/2</sup> estimate provides a valid upper bound on the shrink rate of the numerical eigenvalues. Moreover, we find that a more recent estimate of log(<em>n</em>)/<em>n</em><sup>3/2</sup> is in excellent agreement with the numerical results. With nonlinearity the shrink rates are found to be smaller than without nonlinearity, and the rigorous estimates, derived only for the linear case, are no longer applicable.

Analytical solutions for the spin-1 Bose-Einstein condensate in a harmonic trap

2013 ◽  
Vol 8 (3) ◽  
pp. 319-327
Author(s):  
Yu-Ren Shi ◽  
Xue-Ling Wang ◽  
Guang-Hui Wang ◽  
Cong-Bo Liu ◽  
Zhi-Gang Zhou ◽  
...  
Keyword(s):  
Analytical Solutions ◽  
Einstein Condensate ◽  
Harmonic Trap ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Rapidly rotating Bose-Einstein condensates in anharmonic confinement

Open Physics ◽  
2006 ◽  
Vol 4 (3) ◽  
Author(s):  
Li-Hua Lu ◽  
You-Quan Li
Keyword(s):  
Phase Diagram ◽  
Phase Transitions ◽  
Einstein Condensate ◽  
Harmonic Trap ◽  
Vortex Lattices ◽  
Bose Einstein Condensate ◽  
Bose Einstein

AbstractWe study a rapidly rotating Bose-Einstein condensate in anharmonic confinement and find that many properties, such as the critical rotating frequency and phase diagram, are different from those in a harmonic trap. We investigate the phase transitions between various vortex lattices and find that a hole emerges in the center of the cloud when the rotating frequency Θ reaches Θh but it becomes invisible when Θ > 1.0842ω ⊥.

Exact transmission state of a Bose–Einstein condensate in a near-harmonic trap

2009 ◽  
Vol 373 (17) ◽  
pp. 1560-1564 ◽  
Author(s):  
Jianwen Song ◽  
Wenhua Hai ◽  
Xiaobing Luo
Keyword(s):  
Einstein Condensate ◽  
Harmonic Trap ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals First and Second Sound Modes of a Bose-Einstein Condensate in a Harmonic Trap

1998 ◽  
Vol 80 (18) ◽  
pp. 3895-3898 ◽  
Author(s):  
V. B. Shenoy ◽  
Tin-Lun Ho
Keyword(s):  
Einstein Condensate ◽  
Harmonic Trap ◽  
Second Sound ◽  
Bose Einstein Condensate ◽  
Sound Modes ◽  
Bose Einstein

Spin dynamics of a spin-orbit-coupled Bose-Einstein condensate in a shaken harmonic trap

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Chaohua Wu ◽  
Jingtao Fan ◽  
Gang Chen ◽  
Suotang Jia
Keyword(s):  
Spin Dynamics ◽  
Einstein Condensate ◽  
Harmonic Trap ◽  
Spin Orbit ◽  
Bose Einstein Condensate ◽  
Bose Einstein
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