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Rational SU(3) Gaudin Model

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Communications in Theoretical Physics 2001年第2期36卷 139-144页

作者： hou bo-yu Cao Jung Yeu Rui-Hong Institute of Modern Physics Northwest University

The Hamiltonians of the SU(3) Gaudin model are constructed based on the nonrelativistic limit of the SU(3) chain. After the quantum determinant being well defined, the eigenvectors and eigenvalues of the Hamiltonians of the SU(3) Gaudin model are given. These results can be generalized to any number of constituting spins (SU( N) ).

关键词：量子力学 SU(3)群自旋链

Moduli Space of IIB Superstring and SUYM in AdS5 × S^5

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Communications in Theoretical Physics 2006年第2期45卷 301-314页

作者： hou bo-yu hou bo-yuan WANG Xiao-Hui XIONG Chuan-Hua yuE Rui-Hong Institute of Modern Physics Northwest University Xi＇an 710069 China Graduate School the Chinese Academy of Sciences Beijing 100039 China

This paper consists of two parts. In part I, we interpret the hidden symmetry of the moduli space of lib superstring on AdS5× S^5 in terms of the chiral embedding in AdS5, which turns out to be the CP^3 conformal affine Toda model. We review how the position μ of poles in the Riemann-Hilbert formulation of dressing transformation and the value of loop parameter μ in the vertex operator of affine algebra determine the moduli space of the soliton solutions, which describes the moduli space of the Green-Schwarz superstring. We show also how this affine SU（4） symmetry affinizes the conformal symmetry in the twistor space, and how a soliton string corresponds to a Robinson congruence with twist and dilation spin coefficients μ of twistor. In part Ⅱ by extending the dressing symmetric *** of lib string in AdS5×S^5 to the D3 brane, we find a gauged WZW aztion of Higgs Yang-Mills field including the 2-cocycle of axially anomaly. The left and right twistor structures of left and right a-planes glue into an ambitwistor. The symmetry group of Nahm equations is centrally extended to an affine group, thus we explain why the spectral curve is given by affine Toda.

关键词： AdS/CFT correspondence Green-Schwarz superstring affine Toda

Quantum Currents in the coset Space SU(2)/U(1)

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Communications in Theoretical Physics 2002年第1期37卷 59-62页

作者： DING Xiang-Mao hou bo-yu ZHAO Liu Institute of Applied Mathematics Academy of Mathematics and System Sciences Academia Sinica Institute of Modern Physics Northwest University

We propose a rational quantum deformed nonlocal currents in the homogeneous space SU(2)k/U(1), and in terms of it and a free boson field a representation for the Drinfeld currents of Yangian double at a general level k = c is obtained. In the classical limit h → 0, the quantum nonlocal currents become SU(2)k parafermion, and the realization of Yangian double becomes the parafermion realization of SU(2)k current algebra.

关键词：量子理论仿射李代数量子流 SU(2)/U(1)空间

Accessible Information for Equally-Distant Partially-Entangled Alphabet State Resource

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Communications in Theoretical Physics 2002年第2期37卷 149-154页

作者： HAO San-Ru hou bo-yu XI Xiao-Qiang Calculating Physics Division Department of Computer Teaching Hunan Normal University Institute of Modern Physics Northwest University

We have proposed a quantum system with equally-distant partially-entangled alphabet states which hasthe minimal mutual overlap and the highly distinguishability, these quantum states are used as the "signal states" ofthe quantum communication. We have also constructed the positive operator-valued measure for these "signal states"and discussed their entanglement properties and measurement of cntanglement. We calculate the accessible informationfor these alphabet states and show that the accessible information is closely related to the entanglement of the "signalstates": the higher the entanglement of the "signal states", the better the accessible information of the quantum *** the accessible information reaches its maximal value when the alphabet states have their maximal entanglemcnt.

关键词：量子系统可获信息部分交缠态

The Geometric Construction of WZW Effective Action in Noncommutative Manifold

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Communications in Theoretical Physics 2002年第3期37卷 349-351页

作者： hou bo-yu WANG Yong-Qiang YANG Zhan-Ying Institute of Modern Physics Northwest University

By constructing close-one-cochain density in the gauge group space we get the Wess Zumino Witten(WZW) effective Lagrangian on high-dimensional noncommutative space. Especially consistent anomalies derived fromthis WZW effective action in noncommutative four-dimensional space coincide with those obtained by L. bonora etc.(hep-th /0002210).

关键词：规范场非对易流形 WZW有效作用量

Nonadiabatic Geometric Quantum Computation with Asymmetric Superconducting Quantum Interference Device

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Communications in Theoretical Physics 2002年第9期37卷 285-291页

作者： HAO San-Ru hou bo-yu XI Xiao-Qiang yuE Rui-Hong Institute of Modern Physics Northwest University Xi''an 710069 China Galculating Physics Division Department of Computer Teaching Hunan Normal University Changsha 410081 China Institute of Modern Physics Northwest University Xi''an 710069 China Institute of Modern Physics Northwest University Xi''an 710069 China Institute of Modern Physics Northwest University Xi''an 710069 China

We propose a method of controlling the dc-SQUID (superconducting quantum interference device) system by changing the gate voltages, which controls the amplitude of the fictitious magnetic fields B-z, and the externally applied current that produces the piercing magnetic flux Phi(x) for the dc-SQUID system. We have also introduced a physical model for the dc-SQUID system. Using this physical model, one can obtain the non-adiabatic geometric phase gate for the single qubit and the non-adiabatic conditional geometric phase gate (controlled NOT gate) for the two qubits. It is shown that when the gate voltage and the externally applied current of the dc-SQUID system satisfies an appropriate constraint condition, the charge state evolution can be controlled exactly on a dynamic phase free path. The non-adiabatic evolution of the charge states is given as well.

关键词： non-adiabatic geometric phase gate dc-SQUID quantum computation

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Optimal Conclusive Teleportation of an Arbitrary d-Dimensional N-Particle Unknown State via a Partially Entangled Quantum Channel

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Communications in Theoretical Physics 2003年第2期39卷 157-166页

作者： HAO San-Ru hou bo-yu XI Xiao-Qiang yuE Rui-Hong Calculating Physics Division Department of Computer Teaching Hunan Normal University Changsha 410081 China Physikalisches Institut Philosphenweg 12 69120 Heidelberg Germany

In the paper we generalize the standard teleportation to the conclusive teleportation case which can teleportan arbitrary d-dimensional N-particle unknown state via the partially entangled quantum channel. We show that onlyif the quantum channel satisfies a constraint condition can the most general d-dimensional N-particle unknown state beperfect conclusively teleported. We also present a method for optimal conclusively teleportation of the N-particle statesand for constructing the joint POVM which can discern the quantum states on the sender's (Alice's) side. Two typicalexamples are given so that one can see how our method works.

关键词： N-粒子态量子隧道光学远距传物

Unitary Transformation in kq Representation

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Communications in Theoretical Physics 2009年第7期52卷 103-107页

作者： YANG Zhan-Ying ZHANG Kai hou bo-yu SHI Kang-Jie Department of Physics Northwest University Xi＇an 710069 China Institute of Modern Physics Northwest University Xi＇an 710069 China

In this paper,we discuss the unitary transformation induced by Z_6 rotations of noncommutative space onthe states |k,q,s〉,which plays a key role in construction for noncommutative solitons T^2/Z_6 by GHS *** aresult,... 详细信息

关键词： unitary transformation kq representation

Rational SU(N) Gaudin Model

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Chinese Physics Letters 2001年第6期18卷 715-717页

作者： CAO Jun-Peng hou bo-yu yuE Rui-Hong Institute of Modern Physics Northwest UniversityXi’an 710069

We propose the eigenstates and eigenvalues of Hamiltonians of the rational SU(N)Gaudin model based on the quasi-classical limit of the SU(N)chain under the periodic boundary *** the quantum inverse scattering method,w... 详细信息

关键词： model. rational Gaudin