Eigenstates of Laser-Assisted Scattering in a Noninertial Frame

In a rotating noninertial frame, we investigate the eigenstates of the time-dependent problem for electronnucleus scattering assisted by a circularly polarized laser field. Numerical results of probability distribution, quantum potential, and current density are discussed. An approximate expression of scattering cross section for low laser frequency is given.     

Pentapartite Entanglement Measures of GHZ and W-Class State in the Noninertial Frame

We study both pentapartite GHZ and W-class states in the noninertial frame and explore their entanglement properties by carrying out the negativities including 1-4, 2-3, and 1-1 tangles, the whole entanglement measures such as algebraic and geometric averages π5 and Π5, and von Neumann entropy. We illustrate graphically the difference between the pentapartite GHZ and W-class states. We find that all 1-4, 2-3 tangles and the whole entanglements, which are observer dependent, degrade more quickly as the number of accelerated qubits increases. The entanglements of these quantities still exist even at the infinite acceleration limit. We also notice that all 1-1 tangles of pentapartite GHZ state Nαβ=NαIβ=NαIβI=0 where α,β∈(A,B,C,D,E), whereas all 1-1 tangles of the W-class state Nαβ,NαIβ and NαIβI are unequal to zero, e.g., Nαβ=0.12111 but NαIβ and NαIβI disappear at r>0.61548 and r>0.38671, respectively. We notice that the entanglement of the pentapartite GHZ and W-class quantum systems decays faster as the number of accelerated particles increases. Moreover, we also illustrate the difference of von Neumann entropy between them and find that the entropy in the pentapartite W-class state is greater than that of GHZ state. The von Neumann entropy in the pentapartite case is more unstable than those of tripartite and tetrapartite subsystems in the noninertial frame.     

Laser-Assisted Elastic Electron Scattering from Argon

The second Born approximation （SBA） theory is applied to the study of electron-atom scattering in the presence of a CO2 laser field.The absolute differential crass sections of e-Ar scattering are calculated with multiphoton exchange in two special scattering geometries G1 （for small-angle scattering） and G2. For geometry G1, compared with the results of two different model potentials for electron elastic scattering by atoms, it is found that electronatom polarization potential plays an important role in laser-assisted electron-atom scattering. Some calculational results in geometries G2 are given. Our results are found to be better than other theoretical results as compared with the experimental data in geometries G1 and G2.     

Dynamics of Measurement-Induced Disturbance for a Qubit-Qutrit System in Noninertial Frames

We investigate the dynamics of measurement-induced disturbance(MID) for a qubit-qutrit system in noninertial frames under various multi-local decoherence channels(i.e.,dephasing,phase-flip,bit-(trit-) flip,bit-(trit-) phase-flip,and depolarizing channels).We find that,for any acceleration,the MID can decay in a monotonic way to zero or to a nonzero steady value(i.e.,residual MID exists).Consequently,no sudden death of the MID occurs,which is different from entanglement.     

七玻色模混和模型的本征态及本征值

利用参数 ，我们没有运用Bethe ansatz假设，直接求解了三种七玻色模混和模型的所有本征态和本征值。而此参数取决于一多项式的根，并且是可以在数字上严格求解的。     

Analytical Results of Eigenstates and Eigenenergies for a Classical Model of Many Bosonic Modes Mixing

The. Analytical expressions of eigenstates and eigenenergies are demonstrated using a parameter λ without the assumption of Bethe anstz for two kinds of N-mode mixing models. The parameter is shown to be determined by the roots of a simple polynomial and is solvable analytically or numerically. In addition, the exact analytical expressions of eigenstates and eigenenergies are illustrated without any unknown parameter.     

激光散射场理论及其应用

在薄层散射的基础上，研究了寻常散射和非常散射的差别，建立起了散射椭圆的模型。然后从薄层散射过渡到厚层散射，检测了激光在水中的散射场和退偏振度，并对前向散射和后向散射导出了简化的场强计算公式：公式中的常数一散射率成为评价激光散射场和退偏振的依据。本研究的结论直接对提高水中目标探测的信噪比有现实意义。     

Reciprocal Relativity of Noninertial Frames and the Quaplectic Group

The frame associated with a classical point particle is generally noninertial. The point particle may have a nonzero velocity and force with respect to an absolute inertial rest frame. In time–position–energy–momentum-space {t, q, p, e}, the group of transformations between these frames leaves invariant the symplectic metric and the classical line element ds² = d t². Special relativity transforms between inertial frames for which the rate of change of momentum is negligible and eliminates the absolute rest frame by making velocities relative but still requires the absolute inertial frame. The Lorentz group leaves invariant the symplectic metric and the line elements and . General relativity for particles under only the influence of gravity avoids the issue of noninertial frames as all particles follow geodesics and hence have locally inertial frames. For other forces, the question of the absolute inertial frame remains.) Born conjectured that the line element should be generalized to the pseudo-orthogonal metric . The group leaving this metrics and the symplectic metric invariant is the pseudo-unitary group of transformations between noninertial frames. We show that these transformations also eliminate the need for an absolute inertial frame by making forces relative and bounded by b and so embodies a relativity that is shape reciprocal in the sense of Born. The inhomogeneous version of this group is naturally the semidirect product of the pseudo-unitary group with the nonabelian Heisenberg group. This is the quaplectic group.     

Exact Eigenstates for a Class of Model Describing Interactions Among Five Bosonic Modes with Multiphoton Process

We present an efficient approach to studying the spectra and eigenstates for the model describing interactionsamong five bosonic modes without using the assumption of the Bethe ansatz. The exact analytical results of all theeigenstates and eigenvalues are in terms of a parameter λ for a class of models describing five-mode multiphoton process.The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.     

Exact Eigenstates for a Class of Model Describing Interactions Among Five Bosonic Modes with Multiphoton Process

We present an efficient approach to studying the spectra and eigenstates for the model describing interactions among five bosonic modes without using the assumption of the Bethe ansatz. The exact analytical results of all the eigenstates and eigenvalues are in terms of a parameter A for a class of models describing five-mode multiphoton process. The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.     

The High-order Squeezing of Orthonormalization Eigenstates of a~4

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Noninertial Observers in Special Relativity and Clock Synchronization Debates

Selleri's arguments that a consideration of noninertial reference frames in the framework of special relativity identify “absolute simultaneity” as being “Nature's choice of synchronization” are considered. In the case of rectilinearly accelerating rockets, it is argued by considering two rockets which maintain a fixed proper separation rather than a fixed separation relative to the inertial frame in which they start from rest, that what seems the most “natural” choice for a simultaneity convention is problem-dependent and that Einstein's definition is the most “natural” (though still conventional) choice in this case. In addition, the supposed problems special relativity has with treating a rotating disk, namely how a pulse of light traveling around the circumference of the disk can have a local speed of light equal to c everywhere but a global speed not equal to c, and how coordinate transformations to the disk can give the Lorentz transformations in the limit of large disk radius but small angular velocity, are addressed. It is shown that the theory of Fermi frames solves both of these problems. It is also argued that the question of defining simultaneity relative to a uniformly rotating disk does not need to be resolved in order to resolve Ehrenfest's paradox.     

一类本征态迭加的高次压缩特性

对一类光子消灭算符aN的正交归一本征态的迭加态的振幅k次方压缩特性进行研究,结果表明一类aN的正交归一本征态的迭加态的振幅k次方压缩特性明显地区别于aN的正交归一本征态k次方压缩.无论N取奇数还是偶数迭加态均存在振幅k(k=Nt或Nt/2)次方压缩,当位相差δ=2mπ/t(m为整数)时迭加态不存在振幅k次方压缩;当δ=π时,只有N和t同时为奇数才有可能存在k次方压缩;当δ=π/2时,对应t≠4m的不同取值迭加态存在k次方压缩;因而参量的位相对振幅的k次方压缩起着关键性的作用.     

Analytical Results of Eigenstates and Eigenenergies for Three Kinds of Models Describing N-mode Multiphoton Process

We obtain the exact analytical results of all the eigenvalues and eigenstates for three kinds of models describing N-mode multiphoton process without using the assumption of the Bethe ansatz. The exact analytical results of all the eigenstates and eigenvalues are in terms of a parameter λ for three kinds of models describing N-mode multiphoton process. The parameter is shown to be determined by the roots of a polynomial and is solvable analytically or numerically. Moreover, these three kinds of models can be processed with the same procedure.     

激光在相对论磁化等离子体中的集体散射

激光在完全电解等离子体中集体散射截面等于单个电子的汤姆逊散射截面乘以结构因子，结构因子由电子密度涨落确定。在考虑电粒子间电磁相同作用基础上，给出激光在相对论磁化等离子体中散射的结构因子谱的解析表示式。     

Squeezing and Higher-order Squeezing Properties of Eigenstates of the Operator akqs

The squeezing and higher-order squeezing properties of k orthonormalized eigenstates of the higher powers akqs(k≥3) of the annihilation operator of two-parameter deformed harmonic oscillator are investigated. It is found that the Nth-power squeezing [N=(m+1/2)k, m=0,1,2,…] can exist in the all of them when k is even.     

Analytical Method for Energy Spectra and Eigenstates in the Process of k-Photon Down-Conversion with Quantized Pump

In this paper, using the arguments of Wu et al. [Phys. Rev. Lett. 86 (2001) 2200] we analytically discussthe energy spectra and corresponding eigenstates for the process of k-photon down-conversion with quantized pump ina high-Q cavity by the aid of the computer programme. Remarkably, it is also shown that such a method can be usedfor solving numerically the equations in a much simpler manner than the previous ones.     

Q变形非简谐振子湮没算符高次幂本征态的反聚束效应

引入了一种量子反聚束效应,研究了Q变形非简谐振子湮没算符K次幂(K≥3)的K个本征态的量子反聚束效应,探讨了这些本征态的物理意义.结果表明,这K个本征态均可呈现量子反聚束效应,它们都可由不同时刻依赖于时间的Q变形非简谐振子广义相干态的线性叠加而生成.     

Non-Maximal Tripartite Entanglement Degradation of Dirac and Scalar Fields in Non-Inertial Frames

The π-tangle is used to study the behavior of entanglement of a nonmaximal tripartite state of both Dirac and scMar fields in accelerated frame. For Dirac fields, the degree of degradation with acceleration of both one-tangle of accelerated observer and π-tangle, for the same initial entanglement, is different by just interchanging the values of probability amplitudes. A fraction of both one-tangles and the π-tangle always survives for any choice of acceleration and the degree of initial entanglement. For scalar field, the one-tangle of accelerated observer depends on the choice of values of probability amplitudes and it vanishes in the range of infinite acceleration, whereas for 1r-tangle this is not always true. The dependence of π-tangle on probability amplitudes varies with acceleration. In the lower range of acceleration, its behavior changes by switching between the values of probability amplitudes and for larger values of acceleration this dependence on probability amplitudes vanishes. Interestingly, unlike bipartite entanglement, the degradation of π-tangle against acceleration in the case of sca/ar fields is slower than for Dirac fields.     

Analytical Method for Energy Spectra and Eigenstates in the Process of κ-Photon Down-Conversion with Quantized Pump

In this paper, using the arguments of Wu et al. [Phys. Rev. Left. 86 (2001) 2200] we analytically discuss the energy spectra and corresponding eigenstates for the process of κ-photon down-conversion with quantized pump in a high-Q cavity by the aid of the computer programme. Remarkably, it is also shown that such a method can be used for solving numerically the equations in a much simpler manner than the previous ones.