Solving Generalized Non-degenerate Two-Mode Two-Photon Jaynes-Cummings Model by Supersymmetric Unitary Transformation

Based on supersymmetric quantum mechanics theory, we introduced a supersymmetric unitary transformation to diagonalize the Hamiltonian of non-degenerate two-mode two-photon Jaynes-Cummings models which include any forms of intensity-dependent coupling, field-dependent detuning, and field nonlinearity. Its eigenvalue, eigenstates, and time evolution of state vector are obtained.     

Solving Multiphoton Jaynes–Cummings Model with Field Nonlinearity by Supersymmetric Unitary Transformation

We introduce a supersymmetric unitary transformation, to diagonalize the multiphoton Jaynes–Cummings model Hamiltonian based on supersymmetric quantum mechanics theory, that includes any forms of intensity-dependent coupling and field nonlinearity. On doing so, we obtain its eigenvalue and eigenstates, and the time evolution of state vector.     

多光子集体辐射原子的J-C模型超对称求解

根据已有的双光子情形具有两个集体辐射原子的Jaynes-Cumm ings(J-C)模型,将之推广到多光子情形。找出了该模型的超对称生成元,然后用超对称变换的方法十分简洁地求解出了它的能量本征值和能量本征态。     

Solving Two Kinds of JC Models Relating to Two-Photon Process by Supersymmetric Transformation

We propose two kinds of new Jaynes Cummings models relating to two-photon process by using the supersymmetric unitary transformation. The corresponding energy eigenvalues and eigenvectors are obtained.     

Solving Two Kinds of JC Models Relating to Two-Photon Process by Supersymmetric Transformation

We propose two kinds of new Jaynes Cummings models relating to two-photon process by using the supersymmetric unitary transformation. The corresponding energy eigenvalues and eigenvectors are obtained.     

Two-Photon Entanglement in a Two-Mode Supersymmetric Model

We will study entangled two-photon states generated from a two-mode supersymmetric model and quantify degree of entanglement in terms of the entropy of entanglement. The influences of the nonlinearity on the degree of entanglement is also examined, and it is shown that amount of entanglement increase with increasing the nonlinear coupling constant. PACS numbers: 03.67.-a, 03.67.Mn.     

Unitary Transformation in kq Representation

In this paper, we discuss the unitary transformation induced by Z6 rotations of noncommutative space on the states （k, q,s）, which plays a key role in construction for noncommutative solitons T^2/Z6 by GHS method. As a result, we prove a well-known ＂Gauss Sum＂ formula in the number theory through a concise way.     

Unitary Transformation in kq Representation

In this paper, we discuss the unitary transformation induced by Z₆ rotations of noncommutative space on the states |k,q,s>, which plays a key role in construction for noncommutative solitons T²/Z₆ by GHS method. As a result, we prove a well-known ``Gauss Sum' formula in the number theory through a concise way.     

Unitary Transformation in Quantum Teleportation

In the well-known treatment of quantum teleportation, the receiver should convert the state of his EPR particle into the replica of the unknown quantum state by one of four possible unitary transformations. However, the importance of these unitary transformations must be emphasized. We will show in this paper that the receiver cannot transform the state of his particle into an exact replica of the unknown state which the sender wants to transfer if he has not a proper implementation of these unitary transformations. In the procedure of converting state, the inevitable coupling between EPR particle and environment which is needed by the implementation of unitary transformations will reduce the accuracy of the replica.     

Unitary Transformation in Quantum Teleportation

In the well-known treatment of quantum teleportation, the receiver should convert the state of his EPR particle into the replica of the unknown quantum state by one of four possible unitary transformations. However, the importance of these unitary transformations must be emphasized. We will show in this paper that the receiver cannot transform the state of his particle into an exact replica of the unknown state which the sender wants to transfer if he has not a proper implementation of these unitary transformations. In the procedure of converting state, the inevitable coupling between EPR particle and environment which is needed by the implementation of unitary transformations will reduce the accuracy of the replica.     

Exact Solution of the Milburn Equation for the Two—Mode Two—Photon Jaynes—Cummings Model

We adopt an algebraic method to study the two-mode two-photon Jaynes-Cummings model governed by the Milburn equation and find an exact solution of Milburn equation of the system.The influence of the intrinsic decoherence on the nonclassical effects of the system is also discussed.     

Resonance Fluorescence in Two—Photon JC Models Analyzed by Supersymmetric Transformation

Resonance fluorescences of two-photon two-level and two-photon three-level atoms driven by laser are investigated with supersymmetric transformation.It is shown that the spectrum of fluorescent light obtained from the supersymmetric transformation is more accurate and the physical process shown by this method is clearer than that from dress transformation.     

The Unitary Operator Corresponding to the General Two-Mode Coordinate-Momentum Mixed Transformation

We discuss the unitary operator corresponding to the general two-mode coordinate-momentum mixed transformation(q2,p2)→(Aq1 Bq2,Cq1 Dp2),where A,B,C and Dare arbitrary real numbers,Suitably selecting the parameters A,B,Cand D,we obtain a new two-mode bosonic realization of the SU(1,1) Lie algebra.We also study the squeezing effects of the squeezed vacuum associated with the new two-mode bosonic realization of the SU(1,1) Lie algebra.The results show that the new squeezed vacuum does not possess second-order squeezing,but exhibits higher-order squeezing.     

Solving the Generalized Higgs Model from the Generalized CRS Model

In this paper,we reveal a direct relation between the generalized one-dimensional Carinena-RanadaSantander(CRS) model and the radial part of two-dimensional generalized Higgs model.By this relation,we construct a series of quasi-exactly solutions for the two-dimensional Higgs model from a solved generalized CRS model.     

Two-Photon Jaynes-Cummings Model Governed by Milburn Equation with Phase Damping

In this paper, we find an analytic solution of the master equation of a non-resonant two-photon JaynesCummings model (JCM) with phase damping with the help of the super-operator technique. We study the influence of phase damping on non-classical effects in the JCM, such as oscillations of the photon-number distribution, revivals of the atomic inversion, and sub-Possion photon statistics. It is demonstrated that the phase damping suppresses the revivals of the atomic inversion and non-classical effects of the cavity field in the JCM.     

用Greenberger-Horne-Zeilinger态作量子信道实现多点控制的远程单比特幺正变换

提出了一个用三粒子纠缠的GHZ态作为量子信道实现多点控制的远程单比特幺正变换的操纵方案.在该方案中,发送者Alice能“传送”一个幺正变换给远距离的接收者Bob,此幺正变换的结构分别由Alice和Bob决定.而Alice与Bob间的量子信道宽度,亦远程单比特幺正变换的成功操纵几率则由第三者Cindy控制.Cindy与Alice（Bob）间的经典通讯也由Cindy控制.     

Supersymmetric Electroweak Corrections to Top Quark Production at LHC

The am_t²/m²w order supersymmetric electroweak corrections arising from loops of chargino, neu tralino and squark to top quark pair production by gg fusion at LHC are calculated in the minimal supersymmetric model. We found that the corrections amount about a few percent.     

Unitary transformation method for solving generalized Jaynes-Cummings models

Two fully quantized generalized Jaynes-Cummings models for the interaction of a two-level atom with radiation field are treated, one involving intensity dependent coupling and the other involving multiphoton interaction between the field and the atom. The unitary transformation method presented here not only solves the time dependent problem but also allows a determination of the eigensolutions of the interacting Hamiltonian at the same time.     

Coherence Loss of Two-Photon Jaynes-Cummings Model in Dispersive Approximation

Completely solving the dissipative dynamics of nonlinear Jaynes-Cumming model is a very difficult task.In our recent work (Phys. Lett. A284 (2001) 156), we just obtained analytical results of the field dissipative dynamics of the nonlinear JCM. In the present paper, employing the perturbative expansion of master equation, we obtain the density operator of the system (field +atom). The coherence losses of the system and of the atom are investigated when two-photon process is involved. We also study the effect of different atomic initial states and the influence of the field amplitude on the atomic coherence loss.     

MULTIPHOTON JAYNES-CUMMINGS MODEL SOLVED VIA SUPERSYMMETRIC UNITARY TRANSFORMATION

For multiphoton Jaynes-Cummings(JC) model Hamiltonian, we find its supersymmetric structure. Based on this, we introduce a supersymmetric unitary transformation to diagonalize the JC Hamiltonian, in so doing, its eigenvalues and eigenfunctions are obtained. The transition process is also calculated.