Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Open Physics

Splitting dynamics of a two-species Bose-Einstein condensate in two translating traps

Bo Sun, Michael Stuart Pindzola

Published Jul 1, 2011• 0 citations
Publisher

Abstract

Abstract We extend our previous work of splitting a single-species Bose-Einstein condensate in two translating traps to a two-species condensate. Different from the single species case where interaction is considered as a damping mechanism to the motion of the condensate, we find that, in the two species case, the damping effect is much less obvious and the splitting dynamics exhibit different behaviors. The distribution of each component are not damped towards 50:50 for large interaction strength in the two wells. Our conclusions are supported by investigating the dependence of the splitting on both the translation speed and the interspecies scattering length.

DOI
10.2478/s11534-011-0038-z

Related papers

Splitting a Bose-Einstein condensate in two translating traps

Baoqing Sun, M. S. Pindzola, Li You

Motivated by an earlier proposal of splitting a one-dimensional atomic wave packet using two translating traps [Zhang et al., Phys. Rev. Lett. 97, 070403 (2006)], we report results of simulating the splitting dynamics for a three-dimensional Bose-Einstein condensate at zero temperature. Different from the single-atom case where the population in one of the traps shows full oscillations as a function of the translating velocity, we find that such oscillations are damped as the translating velocity decreases. As the interaction increases, we see a stronger damping effect. The damping mechanism is attributed to the formation of solitons which decay to vortex rings and cause complicated flow patterns to damp the population oscillations. Our conclusions are supported by results for $N=5400$ and $N=54\text{ }000$ $^{87}\text{R}\text{b}$ atoms. In the adiabatically translating regime, the condensate can only be split 50:50. Therefore, a controlled splitting of the condensate in two symmetric traps can only be realized for a small number of atoms and away from the adiabatic regime.

Physical Review A•Mar 10, 2009•4 citations

Dynamics of a two-species Bose-Einstein condensate in a double well

Baoqing Sun, M. S. Pindzola

We study the dynamics of a two-species Bose-Einstein condensate in a double well. Such a system is characterized by the intraspecies and interspecies $s$-wave scattering as well as the Josephson tunneling between the two wells and the population transfer between the two species. We investigate the dynamics for some interesting regimes and present numerical results to support our conclusions. In the case of vanishing intraspecies scattering lengths and a weak interspecies scattering length, we find collapses and revivals in the population dynamics. A possible experimental implementation of our proposal is briefly discussed.

arXiv:0910.1773•Physical Review A•Sep 17, 2009•25 citations

Merging and splitting of Bose–Einstein condensates into two translating traps

Baoqing Sun, M. S. Pindzola

We investigate the process of merging and splitting Bose–Einstein condensates into two slowly translating traps, analogous to a dual input atomic beam splitter. With the help of direct three-dimensional numerical simulations, we explore the dependence of population distributions on the initial relative phase and the trap moving speed. For non-interacting Bose–Einstein condensates, we find that our numerical results are in good agreement with a simple theoretical prediction. However, for interacting Bose–Einstein condensates, our results show striking differences with the non-interacting case: the Bose–Einstein condensates are always split towards 50:50 in the slow translation regime. This bosonic anti-bunching effect is interpreted as a consequence of complicated flow patterns due to atomic interactions.

Journal of Physics B Atomic Molecular and Optical Physics•Jun 16, 2009•2 citations

Tunneling Dynamics of Two-Species Bose–Einstein Condensates

Yang Li-Min, Zhao-Xian Yu, Jiao Zhi-Yong

We have studied the tunneling dynamics of two-species Bose–Einstein condensates. It is shown that the population difference and the Josephson-like tunneling current between the two condensates exhibit oscillation behaviors and there exists macroscopic quantum self-trapping, which strongly depends on the initial state, interatomic nonlinear self-interaction, interspecies nonlinear interaction, and the total number of atoms in the two condensates.

Communications in Theoretical Physics•May 15, 2003•1 citation

Phase separation and dynamics of two-component Bose-Einstein condensates

R. Navarro, R. Carretero-González, P. G. Kevrekidis

We study the interactions between two atomic species in a binary Bose-Einstein condensate to revisit the conditions for miscibility, oscillatory dynamics between the species, steady-state solutions, and their stability. By employing a variational approach for a quasi-one-dimensional, two-atomic species condensate, we obtain equations of motion for the parameters of each species: amplitude, width, position, and phase. A further simplification leads to a reduction of the dynamics into a simple classical Newtonian system where components oscillate in an effective potential with a frequency that depends on the harmonic trap strength and the interspecies coupling parameter. We develop explicit conditions for miscibility that can be interpreted as a phase diagram that depends on the harmonic trap's strength and the interspecies coupling parameter. We numerically illustrate the bifurcation scenario whereby nontopological, phase-separated states of increasing complexity emerge out of a symmetric state as the interspecies coupling is increased. The symmetry-breaking dynamical evolution of some of these states is numerically monitored and the associated asymmetric states are also explored.

arXiv:0906.3316•Physical Review A•Aug 20, 2009•59 citations

Tunneling Dynamics of Two—Species Bose—Einstein Condensates

YANGLI-Min, YUZhao-Xian, JIAOZhi-Yong

We have studied the tunneling dynamics of two-species Bose-Einstein condensates. It is shown that the population difference and the Josephson-like tunneling current between the two condensates exhibit oscillation behaviors and there exists macroscopic quantum self-trapping, which strongly depends on the initial state, interatomic nonlinear self-interaction, interspecies nonlinear interaction, and the total number of atoms in the two condensates.

理论物理通讯：英文版•Jan 1, 2003•0 citations
Abstract We extend our previous work of splitting a single-species Bose-Einstein condensate in two translating traps to a two-species condensate. Different from the single species case where interaction is considered as a damping mechanism to the motion of the condensate, we find that, in the two species case, the damping effect is much less obvious and the splitting dynamics exhibit different behaviors. The distribution of each component are not damped towards 50:50 for large interaction strength in the two wells. Our conclusions are supported by investigating the dependence of the splitting on both the translation speed and the interspecies scattering length.
Motivated by an earlier proposal of splitting a one-dimensional atomic wave packet using two translating traps [Zhang et al., Phys. Rev. Lett. 97, 070403 (2006)], we report results of simulating the splitting dynamics for a three-dimensional Bose-Einstein condensate at zero temperature. Different from the single-atom case where the population in one of the traps shows full oscillations as a function of the translating velocity, we find that such oscillations are damped as the translating velocity decreases. As the interaction increases, we see a stronger damping effect. The damping mechanism is attributed to the formation of solitons which decay to vortex rings and cause complicated flow patterns to damp the population oscillations. Our conclusions are supported by results for N=5400N=5400N=5400 and N=54 000N=54\text{ }000N=54 000 87Rb^{87}\text{R}\text{b}87Rb atoms. In the adiabatically translating regime, the condensate can only be split 50:50. Therefore, a controlled splitting of the condensate in two symmetric traps can only be realized for a small number of atoms and away from the adiabatic regime.
We study the dynamics of a two-species Bose-Einstein condensate in a double well. Such a system is characterized by the intraspecies and interspecies sss-wave scattering as well as the Josephson tunneling between the two wells and the population transfer between the two species. We investigate the dynamics for some interesting regimes and present numerical results to support our conclusions. In the case of vanishing intraspecies scattering lengths and a weak interspecies scattering length, we find collapses and revivals in the population dynamics. A possible experimental implementation of our proposal is briefly discussed.
We investigate the process of merging and splitting Bose–Einstein condensates into two slowly translating traps, analogous to a dual input atomic beam splitter. With the help of direct three-dimensional numerical simulations, we explore the dependence of population distributions on the initial relative phase and the trap moving speed. For non-interacting Bose–Einstein condensates, we find that our numerical results are in good agreement with a simple theoretical prediction. However, for interacting Bose–Einstein condensates, our results show striking differences with the non-interacting case: the Bose–Einstein condensates are always split towards 50:50 in the slow translation regime. This bosonic anti-bunching effect is interpreted as a consequence of complicated flow patterns due to atomic interactions.
We study the interactions between two atomic species in a binary Bose-Einstein condensate to revisit the conditions for miscibility, oscillatory dynamics between the species, steady-state solutions, and their stability. By employing a variational approach for a quasi-one-dimensional, two-atomic species condensate, we obtain equations of motion for the parameters of each species: amplitude, width, position, and phase. A further simplification leads to a reduction of the dynamics into a simple classical Newtonian system where components oscillate in an effective potential with a frequency that depends on the harmonic trap strength and the interspecies coupling parameter. We develop explicit conditions for miscibility that can be interpreted as a phase diagram that depends on the harmonic trap's strength and the interspecies coupling parameter. We numerically illustrate the bifurcation scenario whereby nontopological, phase-separated states of increasing complexity emerge out of a symmetric state as the interspecies coupling is increased. The symmetry-breaking dynamical evolution of some of these states is numerically monitored and the associated asymmetric states are also explored.