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

Journal of Physics A Mathematical and General

Three-body recombination in two coupled Bose–Einstein condensates

Ya Li, Wenhua Hai

Published Apr 25, 2005• 19 citations
Publisher

Abstract

We investigate the dynamics of two Bose–Einstein condensates (BECs) tunnel coupled by a double-well potential. In the case of attractive interatomic interaction, the effects of the three-body recombination losses and the feeding of the condensates from the thermal cloud are studied by using a two-mode approximation. It is shown that the stability region of the parameter space could be enlarged by increasing the three-body losses or the tunnelling coefficient. The numerical results also reveal some interesting motion characteristics of the BECs for different s-wave scattering lengths, including macroscopic quantum self-trapping of non-stationary state BECs, and periodic oscillation of the population whose phase orbit tends to a stable limit cycle.

DOI
10.1088/0305-4470/38/19/005

Related papers

Hyperchaos of two coupled Bose–Einstein condensates with a three-body interaction

Zhixia Wang, Xihe Zhang, Ke Shen

We investigate the dynamics of two tunnel-coupled Bose-Einstein condensates (BECs) in a double-well potential. The effects of the three-body recombination loss and the feeding of the condensates from the thermal cloud are studied in the case of attractive interatomic interaction. An imaginary three-body interaction term is considered and a two-mode approximation is used to derive three coupled equations which describe the total atomic numbers of the two condensates, the relative population and relative phase respectively. Theoretical analyses and numerical calculations demonstrate the existence of chaotic and hyperchaotic behaviour by using a periodically time-varying scattering length.

Chinese Physics B•Sep 1, 2008•5 citations

The dynamics of triple-well trapped Bose–Einstein condensates with atoms feeding and loss effects

Mu Ai-Xia, Zhou Xiao-Yan, Xue Ju-Kui

In this paper, we consider the macroscopic quantum tunnelling and self-trapping phenomena of Bose–Einstein condensates (BECs) with three-body recombination losses and atoms feeding from thermal cloud in triple-well potential. Using the three-mode approximation, three coupled Gross–Pitaevskii equations (GPEs), which describe the dynamics of the system, are obtained. The corresponding numerical results reveal some interesting characteristics of BECs for different scattering lengths. The self-trapping and quantum tunnelling both are found in zero-phase and π-phase modes. Furthermore, we observe the quantum beating phenomenon and the resonance character during the self-trapping and quantum tunnelling. It is also shown that the initial phase has a significant effect on the dynamics of the system.

Chinese Physics B•Mar 1, 2008•7 citations

Stability and Chaos of Two Coupled Bose–Einstein Condensates with Three-Body Interaction

Ya Li, Wenhua Hai

We study the dynamics of two Bose–Einstein condensates (BECs) tunnel-coupled by a double-well potential. A real three-body interaction term is considered and a two-mode approximation is used to derive two coupled equations, which describe the relative population and relative phase. By solving the equations and analyzing the stability of the system, we find the stable stationary solutions for a constant atomic scattering length. When a periodically time-varying scattering length is applied, Melnikov analysis and numerical calculation demonstrate the existence of chaotic behavior and the dependence of chaos on the three-body interaction parameters.

Communications in Theoretical Physics•Nov 1, 2005•4 citations

Stationary states and quantum quench dynamics of Bose–Einstein condensates in a double-well potential

Linghua Wen, Qizhong Zhu, Tian-Fu Xu +2 more

Abstract We consider the properties of stationary states and the dynamics of Bose–Einstein condensates (BECs) in a double-well (DW) potential with pair tunneling by using a full quantum-mechanical treatment. Furthermore, we study the quantum quench dynamics of the DW system when subjected to a sudden change of the Peierls phase. It is shown that strong pair tunneling evidently influences the energy spectrum structure of the stationary states. For relatively weak repulsive interatomic interactions, the dynamics of the DW system with a maximal initial population difference evolves from Josephson oscillations to quantum self-trapping as one increases the pair tunneling strength, while for large repulsion the strong pair tunneling inhibits the quantum self-trapping. In the case of attractive interatomic interactions, strong pair tunneling tends to destroy the Josephson oscillations and quantum self-trapping, and the system eventually enters a symmetric regime of zero population difference. Finally, the effect of the Peierls phase on the quantum quench dynamics of the system is analyzed and discussed. These new features are remarkably different from the usual dynamical behaviors of a BEC in a DW potential.

arXiv:1507.00786•Journal of Physics B Atomic Molecular and Optical Physics•Dec 4, 2015•1 citation

Quantum coherent oscillations between two coupled bose-einstein condensates

Ai-Xi Chen, Deng Li

The theoretical investigation of quantum coherent atomic oscillations between two coupled Bose-Einstein condensates(BECs) is studied.We apply the inseparable wave function of time-space to describe two trapped BECs in a double-well magnetic trap.According to Thomas-Fermi approximation,dynamical equations of the interwell phase difference and population imbalance are obtained.Using numerical method,coherent atomic tunneling and macroscopic quantum self-trapping(MQST) effect are investigated.

Journal of Atomic and Molecular Physics•Jan 1, 2006•0 citations

Control of tunneling oscillations between two coupled Bose-Einstein condensates by 2π pulse excitations

Noriaki Tsukada

Summary form only given. Dynamical control of the atomic tunneling between two Bose-Einstein condensates (BEC's) confined in a double-well potential is predicted to occur when laser pulses induce transition between one of the condensate state and the excited state which brings about phase shifts for the condensate wave function, leading to transition between macroscopic quantum self-trapping, which is a self-maintained population imbalance between two BEC's due to interatomic interaction, and large amplitude oscillations. We investigate this phenomenon for the case of a three-level system with two condensate states and an excited state.

Conference on Lasers and Electro-Optics•Aug 29, 2005•0 citations
We investigate the dynamics of two Bose–Einstein condensates (BECs) tunnel coupled by a double-well potential. In the case of attractive interatomic interaction, the effects of the three-body recombination losses and the feeding of the condensates from the thermal cloud are studied by using a two-mode approximation. It is shown that the stability region of the parameter space could be enlarged by increasing the three-body losses or the tunnelling coefficient. The numerical results also reveal some interesting motion characteristics of the BECs for different s-wave scattering lengths, including macroscopic quantum self-trapping of non-stationary state BECs, and periodic oscillation of the population whose phase orbit tends to a stable limit cycle.
We investigate the dynamics of two tunnel-coupled Bose-Einstein condensates (BECs) in a double-well potential. The effects of the three-body recombination loss and the feeding of the condensates from the thermal cloud are studied in the case of attractive interatomic interaction. An imaginary three-body interaction term is considered and a two-mode approximation is used to derive three coupled equations which describe the total atomic numbers of the two condensates, the relative population and relative phase respectively. Theoretical analyses and numerical calculations demonstrate the existence of chaotic and hyperchaotic behaviour by using a periodically time-varying scattering length.
In this paper, we consider the macroscopic quantum tunnelling and self-trapping phenomena of Bose–Einstein condensates (BECs) with three-body recombination losses and atoms feeding from thermal cloud in triple-well potential. Using the three-mode approximation, three coupled Gross–Pitaevskii equations (GPEs), which describe the dynamics of the system, are obtained. The corresponding numerical results reveal some interesting characteristics of BECs for different scattering lengths. The self-trapping and quantum tunnelling both are found in zero-phase and π-phase modes. Furthermore, we observe the quantum beating phenomenon and the resonance character during the self-trapping and quantum tunnelling. It is also shown that the initial phase has a significant effect on the dynamics of the system.
We study the dynamics of two Bose–Einstein condensates (BECs) tunnel-coupled by a double-well potential. A real three-body interaction term is considered and a two-mode approximation is used to derive two coupled equations, which describe the relative population and relative phase. By solving the equations and analyzing the stability of the system, we find the stable stationary solutions for a constant atomic scattering length. When a periodically time-varying scattering length is applied, Melnikov analysis and numerical calculation demonstrate the existence of chaotic behavior and the dependence of chaos on the three-body interaction parameters.
Abstract We consider the properties of stationary states and the dynamics of Bose–Einstein condensates (BECs) in a double-well (DW) potential with pair tunneling by using a full quantum-mechanical treatment. Furthermore, we study the quantum quench dynamics of the DW system when subjected to a sudden change of the Peierls phase. It is shown that strong pair tunneling evidently influences the energy spectrum structure of the stationary states. For relatively weak repulsive interatomic interactions, the dynamics of the DW system with a maximal initial population difference evolves from Josephson oscillations to quantum self-trapping as one increases the pair tunneling strength, while for large repulsion the strong pair tunneling inhibits the quantum self-trapping. In the case of attractive interatomic interactions, strong pair tunneling tends to destroy the Josephson oscillations and quantum self-trapping, and the system eventually enters a symmetric regime of zero population difference. Finally, the effect of the Peierls phase on the quantum quench dynamics of the system is analyzed and discussed. These new features are remarkably different from the usual dynamical behaviors of a BEC in a DW potential.
Summary form only given. Dynamical control of the atomic tunneling between two Bose-Einstein condensates (BEC's) confined in a double-well potential is predicted to occur when laser pulses induce transition between one of the condensate state and the excited state which brings about phase shifts for the condensate wave function, leading to transition between macroscopic quantum self-trapping, which is a self-maintained population imbalance between two BEC's due to interatomic interaction, and large amplitude oscillations. We investigate this phenomenon for the case of a three-level system with two condensate states and an excited state.