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Generalized boson algebra and its entangled bipartite coherent states | | N. Aizawa
; R. Chakrabaarti
; J. Segar
; | | Date: |
5 Sep 2005 | | Journal: | J. Phys. A:Math. Gen. 38 (2005) 9007-9018 DOI: 10.1088/0305-4470/38/41/012 | | Subject: | Quantum Physics; Quantum Algebra | quant-ph math.QA | | Abstract: | Starting with a given generalized boson algebra U_(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_(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_(h(1)) symmetry are found to be complete with a positive-definite integration measure. Nonclassical coalgebraic structure of the U_(h(1)) algebra is found to generate naturally entangled coherent states in bipartite composite systems. | | Source: | arXiv, quant-ph/0509031 | | Services: | Forum | Review | PDF | Favorites | |
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