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Article overview
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Entanglement and Berry Phase in a $9 imes 9$ Yang-Baxter system | Chunfang Sun
; Gangcheng Wang
; Kang Xue
; | Date: |
1 Apr 2009 | Abstract: | We present a M-matrix which satisfies the Hecke algebraic relations. Via the
Yang-Baxterization approach, we obtain a unitary
$reve{R}( heta,varphi_{1},varphi_{2})$-matrix which is a solution of
Yang-Baxter Equation. By means of the negativity, we study the entangled
characteristics when $reve{R}( heta,varphi_{1},varphi_{2})$-matrix acts on
the standard basis(separable states), and the arbitrary degree of entanglement
for two-qutrit entangled states can be generated. Then a Yang-Baxter
Hamiltonian is constructed, and Geometric property (Berry phase) of this
Hamiltonian system is investigated. For $ varphi_{1}=varphi_{2}$, by means of
three sets of SU(2) operators, the Hamiltonian can be represented, i.e
$hat{H}=sum_{k=1}^{3}C(k) extbf{B}^{(k)}cdot extbf{S}^{(k)}$, C(k) are
constants and $ extbf{S}^{(k)}$ are three sets of SU(2) generators. Under this
framework, the Berry phase can be interpreted. | Source: | arXiv, 0904.0092 | Services: | Forum | Review | PDF | Favorites |
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