Using Correlation Measurements to Probe Amplified Matter Waves and Bose-Einstein Condensate Formation

2011 ◽  
Author(s):  
Wu Ru-Gway ◽  
Sean Hodgman ◽  
Andrew Manning ◽  
Robert Dall ◽  
Mattias Johnsson ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Condensate Formation ◽  
Bose Einstein

Integrability and Multi-Soliton Solutions for a Variable-Coefficient Coupled Gross–Pitaevskii System for Atomic MatterWaves

2012 ◽  
Vol 67 (10-11) ◽  
pp. 525-533
Author(s):  
Zhi-Qiang Lin ◽  
Bo Tian ◽  
Ming Wang ◽  
Xing Lu
Keyword(s):  
Variable Coefficient ◽  
Soliton Solutions ◽  
Variable Coefficients ◽  
Einstein Condensate ◽  
Matter Wave ◽  
Bilinear Method ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Hirota Bilinear

Under investigation in this paper is a variable-coefficient coupled Gross-Pitaevskii (GP) system, which is associated with the studies on atomic matter waves. Through the Painlev´e analysis, we obtain the constraint on the variable coefficients, under which the system is integrable. The bilinear form and multi-soliton solutions are derived with the Hirota bilinear method and symbolic computation. We found that: (i) in the elastic collisions, an external potential can change the propagation of the soliton, and thus the density of the matter wave in the two-species Bose-Einstein condensate (BEC); (ii) in the shape-changing collision, the solitons can exchange energy among different species, leading to the change of soliton amplitudes.We also present the collisions among three solitons of atomic matter waves.

scholarly journals DYNAMICS OF BISOLITONIC MATTER WAVES IN A BOSE–EINSTEIN CONDENSATE SUBJECTED TO AN ATOMIC BEAM SPLITTER AND GRAVITY

2010 ◽  
Vol 24 (30) ◽  
pp. 2911-2920 ◽  
Author(s):  
ALAIN MOÏSE DIKANDÉ ◽  
ISAIAH NDIFON NGEK ◽  
JOSEPH EBOBENOW
Keyword(s):  
Einstein Condensate ◽  
Matter Wave ◽  
Pitaevskii Equation ◽  
Transform Method ◽  
Perturbative Approach ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Scattering Transform ◽  
Experimental Implementation ◽  
Bose Einstein

A theoretical scheme for an experimental implementation involving bisolitonic matter waves from an attractive Bose–Einstein condensate, is considered within the framework of a non-perturbative approach to the associate Gross–Pitaevskii equation. The model consists of a single condensate subjected to an expulsive harmonic potential creating a double-condensate structure, and a gravitational potential that induces atomic exchanges between the two overlapping post condensates. Using a non-isospectral scattering transform method, exact expressions for the bright-matter–wave bisolitons are found in terms of double-lump envelopes with the co-propagating pulses displaying more or less pronounced differences in their widths and tails depending on the mass of atoms composing the condensate.

scholarly journals Temporally resolved second-order photon correlations of exciton-polariton Bose-Einstein condensate formation

2015 ◽  
Vol 107 (22) ◽  
pp. 221107 ◽  
Author(s):  
Albert F. Adiyatullin ◽  
Mitchell D. Anderson ◽  
Pierre V. Busi ◽  
Hadis Abbaspour ◽  
Régis André ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
Second Order ◽  
Bose Einstein Condensate ◽  
Condensate Formation ◽  
Bose Einstein

Nonautonomous matter waves in a spin-1 Bose-Einstein condensate

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
Yu-Jia Shen ◽  
Yi-Tian Gao ◽  
Da-Wei Zuo ◽  
Yu-Hao Sun ◽  
Yu-Jie Feng ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Self-accelerating matter waves

2015 ◽  
Vol 29 (28) ◽  
pp. 1550171 ◽  
Author(s):  
C. Yuce
Keyword(s):  
Time Reversal ◽  
Free Particle ◽  
Einstein Condensate ◽  
Time Dependent ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Airy Wave Packet ◽  
Bose Einstein

The free particle Schrödinger equation admits a nontrivial self-accelerating Airy wave packet solution. Recently, the Airy beams that freely accelerate in space was experimentally realized in photonics community. Here, we present self-accelerating waves for the Bose–Einstein condensate in a time-dependent harmonic oscillator potential. We show that parity and time reversal symmetries for self-accelerating waves are spontaneously broken.

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