Dark and bright solitons in a quasi-one-dimensional Bose-Einstein condensate

2003 ◽  
Vol 68 (1) ◽  
Author(s):  
Shun-Jin Wang ◽  
Cheng-Long Jia ◽  
Dun Zhao ◽  
Hong-Gang Luo ◽  
Jun-Hong An
Keyword(s):  
Einstein Condensate ◽  
One Dimensional ◽  
Bright Solitons ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Parafermionic behavior of Bose-Einstein condensates

2019 ◽  
Vol 21 ◽  
pp. 71
Author(s):  
A. Martinou ◽  
D. Bonatsos
Keyword(s):  
Optical Potential ◽  
Optical Trap ◽  
Einstein Condensate ◽  
Pitaevskii Equation ◽  
One Dimensional ◽  
Bright Solitons ◽  
Bose Einstein Condensate ◽  
Repulsive Interactions ◽  
Bose Einstein

Bright solitons of 7Li atoms in a quasi one-dimensional optical trap, formed in a stable Bose–Einstein condensate in which the interactions have been magnetically tuned from repulsive to attractive, have been seen to exhibit repulsive interactions among them when set in motion by offsetting the optical potential. Solving first the Gross–Pitaevskii equation for the special conditions corresponding to the experiment, we show then that this system can be described in terms of generalized parafermionic oscillators, the order of the parafermions being related to the strength of the interaction among the atoms and being a measure of the bosonic behavior vs. the fermionic behavior of the system.

scholarly journals Momentum correlations as signature of sonic Hawking radiation in Bose-Einstein condensates

2018 ◽  
Vol 4 (4) ◽  
Author(s):  
Alessandro Fabbri ◽  
Nicolas Pavloff
Keyword(s):  
Hawking Radiation ◽  
Momentum Space ◽  
Einstein Condensate ◽  
Measuring Process ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Momentum Correlation ◽  
Quantum Quenches ◽  
Effects Of Temperature ◽  
Bose Einstein

We study the two-body momentum correlation signal in a quasi one dimensional Bose-Einstein condensate in the presence of a sonic horizon. We identify the relevant correlation lines in momentum space and compute the intensity of the corresponding signal. We consider a set of different experimental procedures and identify the specific issues of each measuring process. We show that some inter-channel correlations, in particular the Hawking quantum-partner one, are particularly well adapted for witnessing quantum non-separability, being resilient to the effects of temperature and/or quantum quenches.

scholarly journals Do we need a non-perturbative theory of Bose-Einstein condensation?

2021 ◽  
Vol 2103 (1) ◽  
pp. 012200
Author(s):  
K G Zloshchastiev
Keyword(s):  
Phase Contrast ◽  
Einstein Condensate ◽  
Einstein Condensation ◽  
One Dimensional ◽  
Quantum Fluid ◽  
Bose Einstein Condensate ◽  
Dipole Force ◽  
Theoretical Assumptions ◽  
Bose Einstein ◽  
Best Fit

Abstract We recall the experimental data of one-dimensional axial propagation of sound near the center of the Bose-Einstein condensate cloud, which used the optical dipole force method of a focused laser beam and rapid sequencing of nondestructive phase-contrast images. We reanalyze these data within the general quantum fluid framework but without model-specific theoretical assumptions; using the standard best fit techniques. We demonstrate that some of their features cannot be explained by means of the perturbative two-body approximation and Gross-Pitaevskii model, and conjecture possible solutions.

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