dorsal/arxiv
View SchemaGeometric Phase in Entangled Bipartite Systems
| Authors | H. T. Cui, L. C. Wang, X. X. Yi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505157 |
| URL | https://arxiv.org/abs/quant-ph/0505157 |
| DOI | 10.1140/epjd/e2006-00224-x |
| Journal | Eur. Phys. J. D 41, 385-389 (2007) |
Abstract
The geometric phase (GP) for bipartite systems in transverse external magnetic fields is investigated in this paper. Two different situations have been studied. We first consider two non-interacting particles. The results show that because of entanglement, the geometric phase is very different from that of the non-entangled case. When the initial state is a Werner state, the geometric phase is, in general, zero and moreover the singularity of the geometric phase may appear with a proper evolution time. We next study the geometric phase when intra-couplings appear and choose Werner states as the initial states to entail this discussion. The results show that unlike our first case, the absolute value of the GP is not zero, and attains its maximum when the rescaled coupling constant $J$ is less than 1. The effect of inhomogeneity of the magnetic field is also discussed.
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"abstract": "The geometric phase (GP) for bipartite systems in transverse external\nmagnetic fields is investigated in this paper. Two different situations have\nbeen studied. We first consider two non-interacting particles. The results show\nthat because of entanglement, the geometric phase is very different from that\nof the non-entangled case. When the initial state is a Werner state, the\ngeometric phase is, in general, zero and moreover the singularity of the\ngeometric phase may appear with a proper evolution time. We next study the\ngeometric phase when intra-couplings appear and choose Werner states as the\ninitial states to entail this discussion. The results show that unlike our\nfirst case, the absolute value of the GP is not zero, and attains its maximum\nwhen the rescaled coupling constant $J$ is less than 1. The effect of\ninhomogeneity of the magnetic field is also discussed.",
"arxiv_id": "quant-ph/0505157",
"authors": [
"H. T. Cui",
"L. C. Wang",
"X. X. Yi"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjd/e2006-00224-x",
"journal_ref": "Eur. Phys. J. D 41, 385-389 (2007)",
"title": "Geometric Phase in Entangled Bipartite Systems",
"url": "https://arxiv.org/abs/quant-ph/0505157"
},
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