dorsal/arxiv
View SchemaQuantum dynamics of a model for two Josephson-coupled Bose--Einstein condensates
| Authors | A. P. Tonel, J. Links, A. Foerster |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408161 |
| URL | https://arxiv.org/abs/quant-ph/0408161 |
| DOI | 10.1088/0305-4470/38/6/004 |
| Journal | J, Phys. A 38 (2005) 1235 |
Abstract
In this work we investigate the quantum dynamics of a model for two single-mode Bose--Einstein condensates which are coupled via Josephson tunneling. Using direct numerical diagonalisation 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 delocalised and self-trapping phases. We show that these behaviours are dependent on both the initial state of the system as well as 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.
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"abstract": "In this work we investigate the quantum dynamics of a model for two\nsingle-mode Bose--Einstein condensates which are coupled via Josephson\ntunneling. Using direct numerical diagonalisation of the Hamiltonian, we\ncompute the time evolution of the expectation value for the relative particle\nnumber across a wide range of couplings. Our analysis shows that the system\nexhibits rich and complex behaviours varying between harmonic and non-harmonic\noscillations, particularly around the threshold coupling between the\ndelocalised and self-trapping phases. We show that these behaviours are\ndependent on both the initial state of the system as well as regime of the\ncoupling. In addition, a study of the dynamics for the variance of the relative\nparticle number expectation and the entanglement for different initial states\nis presented in detail.",
"arxiv_id": "quant-ph/0408161",
"authors": [
"A. P. Tonel",
"J. Links",
"A. Foerster"
],
"categories": [
"quant-ph",
"cond-mat.other"
],
"doi": "10.1088/0305-4470/38/6/004",
"journal_ref": "J, Phys. A 38 (2005) 1235",
"title": "Quantum dynamics of a model for two Josephson-coupled Bose--Einstein condensates",
"url": "https://arxiv.org/abs/quant-ph/0408161"
},
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