scholarly journals Josephson tunnelling of a phase-imprinted Bose–Einstein condensate in a time-dependent double-well potential

2004 ◽  
Vol 6 ◽  
pp. 42-42 ◽  
Author(s):  
E Sakellari ◽  
N P Proukakis ◽  
M Leadbeater ◽  
C S Adams
Keyword(s):  
Einstein Condensate ◽  
Time Dependent ◽  
Bose Einstein Condensate ◽  
Josephson Tunnelling ◽  
Bose Einstein ◽  
Double Well Potential

scholarly journals JOSEPHSON DYNAMICS OF A BOSE–EINSTEIN CONDENSATE IN AN ACCELERATED DOUBLE-WELL POTENTIAL

2007 ◽  
Vol 21 (07) ◽  
pp. 1067-1075
Author(s):  
ARANYA B. BHATTACHERJEE
Keyword(s):  
Recent Experiment ◽  
Optical Lattices ◽  
Einstein Condensate ◽  
Time Dependent ◽  
Experimental Result ◽  
Coupling Energy ◽  
Bose Einstein Condensate ◽  
Dissipative Mechanism ◽  
Bose Einstein ◽  
Double Well Potential

Motivated by a recent experiment on Bloch oscillation of Bose–Einstein condensates (BEC) in accelerated optical lattices, we consider the Josephson dynamics of a BEC in an accelerated double-well potential. We show that acceleration suppresses coherent population / phase oscillation between the two wells. Accelerating the double-well renders the Josephson coupling energy EJ time-dependent and this emerges as a source of dissipation. This dissipative mechanism helps to stabilize the system. The results are used to interpret a recent experimental result (M. Jona-Lasinio, O. Morsh, M. Cristiani E. Arimonod and C. Menotti, cond-mat / 0501572).

scholarly journals Stationary and Dynamical Solutions of the Gross-Pitaevskii Equation for a Bose-Einstein Condensate in a PT symmetric Double Well

10.14311/1797 ◽  
2013 ◽  
Vol 53 (3) ◽  
Author(s):  
Holger Cartarius ◽  
Dennis Dast ◽  
Daniel Haag ◽  
Günter Wunner ◽  
Rüdiger Eichler ◽  
...  
Keyword(s):  
Wave Function ◽  
Three Dimensional ◽  
Stationary Solutions ◽  
Einstein Condensate ◽  
Time Dependent ◽  
Pitaevskii Equation ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Double Well Potential

We investigate the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT symmetric double-well potential by means of the time-dependent variational principle and numerically exact solutions. A one-dimensional and a fully three-dimensional setup are used. Stationary states are determined and the propagation of wave function is investigated using the time-dependent Gross-Pitaevskii equation. Due to the nonlinearity of the Gross-Pitaevskii equation the potential dependson the wave function and its solutions decide whether or not the Hamiltonian itself is PT symmetric. Stationary solutions with real energy eigenvalues fulfilling exact PT symmetry are found as well as PT broken eigenstates with complex energies. The latter describe decaying or growing probability amplitudes and are not true stationary solutions of the time-dependent Gross-Pitaevskii equation. However, they still provide qualitative information about the time evolution of the wave functions.

Josephson dynamics of strongly interacting superfluid Fermi gases in double-well potentials

2020 ◽  
pp. 2150002
Author(s):  
Ji Li ◽  
Wen Wen ◽  
Yuke Zhang ◽  
Xiaodong Ma
Keyword(s):  
Einstein Condensate ◽  
Interaction Terms ◽  
Bose Einstein Condensate ◽  
Strongly Interacting ◽  
Fermi Superfluids ◽  
The Cross ◽  
Bose Einstein ◽  
Double Well Potential ◽  
Zero Phase ◽  
Superfluid Fermi

In this work, we study the nonlinear Josephson dynamics of Fermi superfluids in the crossover from Bardeen–Cooper–Schrieffer (BCS) superfluid to a molecular Bose-Einstein condensate (BEC) in a double-well potential. Under a two-mode approximation, we derive a full two-mode (fTM) model including all interaction energy terms. By solving the fTM model numerically, we study the zero-phase and [Formula: see text]-phase modes of Josephson oscillations in the BCS–BEC crossover. We find that in the strongly interacting regime the cross interaction terms not appearing in the two-mode model cannot be easily ignored. The cross interactions can alter the behaviors of Josephson dynamics substantially, and interestingly the alterations for the zero-phase and [Formula: see text]-phase modes are just opposite.

DYNAMICS OF NONAUTONOMOUS MATTER BREATHER WAVE IN A TIME-DEPENDENT HARMONIC TRAP WITH NONLINEAR INTERACTION MANAGEMENT

2014 ◽  
Vol 28 (04) ◽  
pp. 1450026 ◽  
Author(s):  
ZHI-GANG LIU ◽  
XIAO-XIAO MA
Keyword(s):  
Nonlinear Interaction ◽  
Complex Potential ◽  
Einstein Condensate ◽  
Time Dependent ◽  
Bose Einstein Condensate ◽  
Parabolic Potential ◽  
Bose Einstein ◽  
Condensate System ◽  
Tunneling Behavior ◽  
Interaction Management

In this paper, we study on breathers of Bose–Einstein condensate analytically in a time-dependent parabolic trap with a complex potential. It is found that the breather can be reflected by the parabolic potential or split into many humps and valleys with the time evolution. The nonlinear tunneling behavior of breather colliding on the parabolic potential is observed. The results provide many possibilities to manipulate breather experimentally in the condensate system.

Nonlinear localized eigenmodes for a Bose–Einstein condensate in a double-well potential

2015 ◽  
Vol 29 (25) ◽  
pp. 1550150
Author(s):  
Qiongtao Xie ◽  
Xiaoliang Liu ◽  
Shiguang Rong
Keyword(s):  
Einstein Condensate ◽  
Localized Modes ◽  
Exact Analytical Solutions ◽  
Bose Einstein Condensate ◽  
Specific Choice ◽  
Asymmetric Distributions ◽  
The Stability ◽  
Bose Einstein ◽  
Double Well Potential ◽  
Potential Parameters

In this paper, we investigate the nonlinear localized eigenmodes for a Bose–Einstein condensate in a double-well potential. For a specific choice of the potential parameters, certain exact analytical solutions for nonlinear localized eigenmodes are presented. By applying the linear stability analysis, the stability regions of these exact nonlinear localized eigenmodes are obtained numerically. It is shown that under certain conditions, the unstable nonlinear localized modes display the breathing behavior characterized by repeated appearance of symmetric and asymmetric distributions in the two potentials. This breathing behavior is shown to arise from the symmetry breaking for these nonlinear localized eigenmodes.

Energy levels of a spin–orbit-coupled Bose–Einstein condensate in a double-well potential

Laser Physics ◽  
2014 ◽  
Vol 25 (2) ◽  
pp. 025501 ◽  
Author(s):  
Wen-Yuan Wang ◽  
Hui Cao ◽  
Shi-Liang Zhu ◽  
Jie Liu ◽  
Li-Bin Fu
Keyword(s):  
Energy Levels ◽  
Einstein Condensate ◽  
Spin Orbit ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Double Well Potential
Sign in / Sign up

Export Citation Format

Share Document