共查询到20条相似文献,搜索用时 15 毫秒
1.
From the definition of the standard Perelomov coherent states we introduce the Perelomov number coherent states for any su(2) Lie algebra. With the displacement operator we apply a similarity transformation to the su(2) generators and construct a new set of operators which also close the su(2) Lie algebra, being the Perelomov number coherent states the new basis for its unitary irreducible representation. We apply our results to obtain the energy spectrum, the eigenstates and the partition function of two coupled oscillators. We show that the eigenstates of two coupled oscillators are the SU(2) Perelomov number coherent states of the two-dimensional harmonic oscillator with an appropriate choice of the coherent state parameters. 相似文献
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We investigate the entanglement swapping of continuous state and the two-mode squeezed vacuum which is exposed variable using the pair coherent state as the input in a phase decoherence environment as the quantum channel. By adopting the log-negativity as the measure of entanglement, we analyze how entanglement of the two initial states and the phase decoherence environment affect the entanglement swapping quality. 相似文献
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Simple modules over the Leibniz pairs are studied. Simple Poisson modules over Poisson algebras of the semisimple associative algebra structure are determined and they are nothing but simple bimodules over simple associative algebras with standard noncommutative Poisson algebra structure. 相似文献
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Quantum covariance and correlation coefficients of angular or SU(2) coherent states are directly calculated for all irreducible unitary representations. These results explicitly verify that the angular coherent states minimize the Robertson-Schrodinger uncertainty relation for all spins, which means that they are the so-called intelligent states. The same results can be obtained by the Schwinger representation approach. 相似文献
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We propose a quantum teleportation scheme for tripartite entangled coherent state (ECS) with continuous variable. Our scheme is feasible and economical in the sense that we need only linear optical devices such as beam splitters, phase shifters and photon detectors and employ three bipartite maximally ECSs as quantum channels. We also generalize the tripartite scheme into multipartite ease and calculate the minimum average fidelity for the schemes in tripartite and multipartite cases. 相似文献
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Coherent States with Complex Functions 总被引:1,自引:0,他引:1
K. Thirulogasanthar G. Honnouvo G. Honnouvo 《International Journal of Theoretical Physics》2004,43(4):1053-1071
The canonical coherent states are infinite series in powers of a complex number z. We present classes of coherent states by replacing this complex number z by other choices, namely, iterates of a complex function, higher functions, and elementary functions. Further, we show that some of these classes do not furnish generalized oscillator algebras in the natural way. A reproducing kernel Hilbert space is discussed to each class of coherent states. 相似文献
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We propose an optical scheme for the generation of the cluster-type entangled coherent states in free travelling optical fields via cross-Kerr nonlinearity. The required resources for the generation are coherent state source, beam splitters, photodetectors, and Kerr media. We also discuss the implementation of the Hadamard gate operation for coherent states and the homodyne detection. 相似文献
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With nonlinear Mach-Zehnder interferometer (NLMZI) and a typed beta-barium borate (BBO) crystal, we optically generate single-mode excited entangled coherent states. This scheme can be easily generalized to generate two-mode excited entangled coherent states. We simply analyse different influences of single- and two-mode photon excitations on entangled coherent states. 相似文献
11.
H. Feng Y. Zheng S. Ding 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2007,42(2):227-234
Infrared multiphoton vibrational excitation of the linear triatomic molecule has been studied using the quadratic anharmonic
Lie-algebra model, unitary transformations, and Magnus
approximation. An explicit Lie-algebra expression for the vibrational transition probability is obtained by using a Lie-algebra
approach. The infrared multiphoton vibrational excitation of the DCN molecule is discussed as an example. 相似文献
12.
We prove that unitary multiplicative operators associated with double Lie groups are manageable. 相似文献
13.
George W. Bluman Omar Mrani-Zentar Deshin Finlay 《Journal of Nonlinear Mathematical Physics》2018,25(4):528-557
It is shown explicitly how one can obtain elements of Lie groups as compositions of products of other elements based on the commutator properties of associated Lie algebras. Problems of this kind can arise naturally in control theory. Suppose an apparatus has mechanisms for moving in a limited number of ways with other movements generated by compositions of allowed motions. Two concrete examples are: (1) the restricted parallel parking problem where the commutator of translations in y and rotations in the xy-plane yields translations in x. Here the control problem involves a vehicle that can only perform a series of translations in y and rotations with the aim of efficiently obtaining a pure translation in x; (2) involves an apparatus that can only perform rotations about two axes with the aim of performing rotations about a third axis. Both examples involve three-dimensional Lie algebras. In particular, the composition problem is solved for the nine three- and four-dimensional Lie algebras with non-trivial solutions. Three different solution methods are presented. Two of these methods depend on operator and matrix representations of a Lie algebra. The other method is a differential equation method that depends solely on the commutator properties of a Lie algebra. Remarkably, for these distinguished Lie algebras the solutions involve arbitrary functions and can be expressed in terms of elementary functions. 相似文献
14.
Du?an?Popov Nicolina?Pop Viorel?Chiritoiu Ioan?Luminosu Marius?Costache 《International Journal of Theoretical Physics》2010,49(4):661-680
In the paper we examine some properties of the generalized coherent states of the Barut-Girardello kind. These states are
defined as eigenstates of a generalized lowering operator and they are strongly dependent on the structure constants. Besides
the pure coherent states we focused our attention on the mixed states one, which are characterized by different probability
distributions. As some examples we consider the thermal canonical distribution and the Poisson distribution functions. We
calculate for these cases the Husimi’s Q and quasi-probability P-distribution functions. 相似文献
15.
A new set of fractional parentage coefficients is introduced to build the orthogonal basis of states with many S and D pairs in the microscopic theory of low-lying collektive motion in nuclei. 相似文献
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Marc Lachièze Rey Jean-Pierre Gazeau Eric Huguet Jacques Renaud Tarik Garidi 《International Journal of Theoretical Physics》2003,42(6):1301-1310
Current views link quantization with dynamics. The reason is that quantum mechanics or quantum field theories address to dynamical systems, i.e., particles or fields. Our point of view here breaks the link between quantization and dynamics: any (classical) physical system can be quantized. Only dynamical systems lead to dynamical quantum theories, which appear to result from the quantization of symplectic structures. 相似文献
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Recently, an experimentally feasible three-party quantum sealed-bid auction protocol based on EPR pairs [Z.Y. Wang, Commun. Theor. Phys. 54 (2010) 997] was proposed. However, this study points out Wang's protocol cannot resist some internal bidders' attacks, such as the Twiee-CNOT attack, the collusion attack. A malicious bidder can launch the Twice-CNOT attack to obtain the other's bid, or the dishonest auctioneer may collude with one bidder and help him/her win the action by changing his/her bid. For preventing against these attacks, a simple solution by using the QKD-based message encryption and a post-confirmation mechanism by adopting the hash function are proposed. 相似文献
20.
Generalized trio coherent states are made by superposing a number of trio coherent states. They possess inherent nonclassical
properties such as sub-Poissonian distribution and violation of Cauchy-Schwarz inequalities. Their phase distribution in the
framework of the Pegg and Barnett theory is discussed. We study the interaction of the radiation field prepared in a generalized
trio coherent state with an atom in a superposition coherent state in the rotating wave approximation. We investigate the
time dependence of the sub-Poissonian distribution and the violation of Cauchy-Schwarz inequalities for such a system. General
conclusions reached are illustrated by numerical results. 相似文献