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

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 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.

Non-linear mechanical analogue of quantum Rabi oscillations in coherent output coupler for atoms in Bose-Einstein condensate

2016 ◽  
Vol 01 (01) ◽  
pp. 1650007 ◽  
Author(s):  
Yuriy A. Kosevich
Keyword(s):  
Energy Distribution ◽  
Output Coupler ◽  
Mechanical Energy ◽  
Einstein Condensate ◽  
Rabi Oscillations ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Weakly Coupled ◽  
Mechanical Analogue ◽  
Bose Einstein

The analogies between coherent matter waves in Bose–Einstein condensates of atomic gases and coherent photons have been discussed in connection with possible realization of an “atom laser”. Theoretical discussions of the atom laser have considered the case in which atoms are fed into and coupled out of the condensate continuously. Here, we discuss the analogy between the output coupler for the trapped coherent matter waves and collective non-linear energy transfer in a system of three-coupled mechanical oscillators (pendulums) with variable parameters. One pendulum in the system is weakly coupled through a spring with the pair of pendulums, which are tightly bound through a common string. We show that self-sustained oscillations of the energy distribution between the weakly coupled and tightly bound subsystems can occur. In our simulations, the coherent fraction of the total mechanical energy of the system, which is periodically transferred to the weakly linked subsystem, can be of the order of 1/1000 and even smaller. These periodic oscillations in vibrational energy distribution can be considered as mechanical analogue, with a similar time evolution, of the quantum Rabi oscillations in the populations of the trapped and untrapped (out-coupled) states in the coherent output coupler for atoms in the Bose–Einstein condensate. The described effects can be used for the coherent control of the transfer of mechanical energy on the micro- and nano-scales.

Sign in / Sign up

Export Citation Format

Share Document