dorsal/arxiv
View SchemaA simple way to detect the state transition caused by the nondiagonal abelian Berry phase
| Authors | X. B. Wang, K. Matsumoto, H. Fan, A. Tomita, J. W. Pan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112071 |
| URL | https://arxiv.org/abs/quant-ph/0112071 |
Abstract
In a nondegenerate syste, the abelian Berry's phase will never cause transitions among the Hamiltonian's eigenstate. However, in a degenerate syatem, it is well known that the state transition can be caused by the non-abelian Berry phase. Actually, in a such a system, the phase factor is not always nonabelian. Even in the case that the phase is a nondiagonal matrix, it still can be an abelian phase and can cause the state transitions. We then propose a simple scheme to detect such an effect of the Berry phase to the degenerate states by using the optical entangled pair state. In this scheme, we need not control any external parameters during the quantum state evolution.
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"abstract": "In a nondegenerate syste, the abelian Berry\u0027s phase will never cause\ntransitions among the Hamiltonian\u0027s eigenstate. However, in a degenerate\nsyatem, it is well known that the state transition can be caused by the\nnon-abelian Berry phase. Actually, in a such a system, the phase factor is not\nalways nonabelian. Even in the case that the phase is a nondiagonal matrix, it\nstill can be an abelian phase and can cause the state transitions. We then\npropose a simple scheme to detect such an effect of the Berry phase to the\ndegenerate states by using the optical entangled pair state. In this scheme, we\nneed not control any external parameters during the quantum state evolution.",
"arxiv_id": "quant-ph/0112071",
"authors": [
"X. B. Wang",
"K. Matsumoto",
"H. Fan",
"A. Tomita",
"J. W. Pan"
],
"categories": [
"quant-ph"
],
"title": "A simple way to detect the state transition caused by the nondiagonal abelian Berry phase",
"url": "https://arxiv.org/abs/quant-ph/0112071"
},
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"source": {
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"variant": "snapshot-2026-03-01",
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