dorsal/arxiv
View SchemaGeneralized boson algebra and its entangled bipartite coherent states
| Authors | N. Aizawa, R. Chakrabaarti, J. Segar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509031 |
| URL | https://arxiv.org/abs/quant-ph/0509031 |
| DOI | 10.1088/0305-4470/38/41/012 |
| Journal | J. Phys. A:Math. Gen. 38 (2005) 9007-9018 |
Abstract
Starting with a given generalized boson algebra U_<q>(h(1)) known as the bosonized version of the quantum super-Hopf U_q[osp(1/2)] algebra, we employ the Hopf duality arguments to provide the dually conjugate function algebra Fun_<q>(H(1)). Both the Hopf algebras being finitely generated, we produce a closed form expression of the universal T matrix that caps the duality and generalizes the familiar exponential map relating a Lie algebra with its corresponding group. Subsequently, using an inverse Mellin transform approach, the coherent states of single-node systems subject to the U_<q>(h(1)) symmetry are found to be complete with a positive-definite integration measure. Nonclassical coalgebraic structure of the U_<q>(h(1)) algebra is found to generate naturally entangled coherent states in bipartite composite systems.
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"abstract": "Starting with a given generalized boson algebra U_\u003cq\u003e(h(1)) known as the\nbosonized version of the quantum super-Hopf U_q[osp(1/2)] algebra, we employ\nthe Hopf duality arguments to provide the dually conjugate function algebra\nFun_\u003cq\u003e(H(1)). Both the Hopf algebras being finitely generated, we produce a\nclosed form expression of the universal T matrix that caps the duality and\ngeneralizes the familiar exponential map relating a Lie algebra with its\ncorresponding group. Subsequently, using an inverse Mellin transform approach,\nthe coherent states of single-node systems subject to the U_\u003cq\u003e(h(1)) symmetry\nare found to be complete with a positive-definite integration measure.\nNonclassical coalgebraic structure of the U_\u003cq\u003e(h(1)) algebra is found to\ngenerate naturally entangled coherent states in bipartite composite systems.",
"arxiv_id": "quant-ph/0509031",
"authors": [
"N. Aizawa",
"R. Chakrabaarti",
"J. Segar"
],
"categories": [
"quant-ph",
"math.QA"
],
"doi": "10.1088/0305-4470/38/41/012",
"journal_ref": "J. Phys. A:Math. Gen. 38 (2005) 9007-9018",
"title": "Generalized boson algebra and its entangled bipartite coherent states",
"url": "https://arxiv.org/abs/quant-ph/0509031"
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