Quantum dynamics of a model for two Josephson-coupled Bose Einstein condensates
Abstract
In this work, we investigate the quantum dynamics of a model for two single-mode Bose-Einstein condensates which are coupled via Josephson tunnelling. Using direct numerical diagonalization of the Hamiltonian, we compute the time evolution of the expectation value for the relative particle number across a wide range of couplings. Our analysis shows that the system exhibits rich and complex behaviours varying between harmonic and non-harmonic oscillations, particularly around the threshold coupling between the delocalized and self-trapping phases. We show that these behaviours are dependent on both the initial state of the system and regime of the coupling. In addition, a study of the dynamics for the variance of the relative particle number expectation and the entanglement for different initial states is presented in detail.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- February 2005
- DOI:
- 10.1088/0305-4470/38/6/004
- arXiv:
- arXiv:quant-ph/0408161
- Bibcode:
- 2005JPhA...38.1235T
- Keywords:
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- Quantum Physics;
- Condensed Matter - Other
- E-Print:
- 15 pages, 8 eps figures, accepted in J. Phys. A