共查询到20条相似文献,搜索用时 15 毫秒
1.
P. Blasiak A. Horzela K.A. Penson A.I. Solomon 《Czechoslovak Journal of Physics》2004,54(11):1179-1184
We solve the normal ordering problem for (A
A)
n
where A and A
are one mode deformed ([A,A
] = [N+1] – [N]) bosonic ladder operators. The solution generalizes results known for canonical bosons. It involves combinatorial polynomials in the number operator N for which the generating function and explicit expressions are found. Simple deformations provide examples of the method. 相似文献
2.
P. Blasiak A. Gawron A. Horzela K. A. Penson A. I. Solomon 《Czechoslovak Journal of Physics》2005,55(11):1335-1341
We present a combinatorial method of constructing solutions to the normal ordering of boson operators. Generalizations of
standard combinatorial notions — the Stirling and Bell numbers, Bell polynomials and Dobinski relations — lead to calculational
tools, which allow to find explicitly normally ordered forms for a large class of operator functions.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005. 相似文献
3.
FAN Hong-Yi 《理论物理通讯》2002,38(12)
In the context of the nonlinear coherent state (NLCS) theory we introduce the generalized Weyl orderingoperator formulation. The corresponding generalized Wigner operator turns out to be the Weyl ordered Dirac δ-operatorfunctions. The completeness relation of NLCS is recast into generalized Weyl ordering form. The relationship betweennormal ordering, antinormal ordering and the generalized Weyl ordering is established which constitute a self-consistenttheory for NLCS. 相似文献
4.
FANHong-Yi 《理论物理通讯》2002,38(6):729-732
In the context of the nonlinear coherent state(NLCS)theory we introduce the generalized weyl ordering operator formulation.The corresponding generalzied wigner operator turns out to be the Weyl ordered diracδ-operator functions.The completeness relation of NLCS is recast into generalized Weyl ordering form,The relationship between normal ordering,antinormal ordering and the generalized Weyl ordering is established which constitute a self-consistent theory for NLCS. 相似文献
5.
Tomáš Tyc Brett Hamilton Barry C. Sanders William D. Oliver 《Foundations of Physics》2007,37(11):1519-1539
Whereas boson coherent states with complex parametrization provide an elegant, and intuitive representation, there is no counterpart
for fermions using complex parametrization. However, a complex parametrization provides a valuable way to describe amplitude
and phase of a coherent beam. Thus we pose the question of whether a fermionic beam can be described, even approximately,
by a complex-parametrized coherent state and define, in a natural way, approximate complex-parametrized fermion coherent states.
Then we identify four appealing properties of boson coherent states (eigenstate of annihilation operator, displaced vacuum
state, preservation of product states under linear coupling, and factorization of correlators) and show that these approximate
complex fermion coherent states fail all four criteria. The inapplicability of complex parametrization supports the use of
Grassman algebras as an appropriate alternative.
相似文献
6.
7.
增光子二模纠缠相干态的纠缠特性及其通过腔量子电动力学的制备 总被引:1,自引:1,他引:1
分析了增光子二模纠缠相干态的纠缠特性,得到共生纠缠度的解析表示式.结果表明:增光子二模纠缠相干态的共生纠缠度与叠加态的相位有非常灵敏的关系.提出了一种制备增光子相干态和增光子二模纠缠相干态的方法,其制备过程为首先把增光子相干态转化为相干态与真空态一种特殊的叠加态(叠加系数与相干态振幅有关),再通过位于高Q腔内的原子与经典激光场的相互作用,从而实现增光子相干态的制备.通过一个飞行原子先后与两个光腔中光场相互作用可以实现增光子二模纠缠相干态的制备. 相似文献
8.
P. K. Das 《International Journal of Theoretical Physics》2002,41(6):1099-1106
In this paper we study coherent states and squeezed states in one mode interacting Fock space. 相似文献
9.
Production of the Superposition of Nonlinear Coherent States and Entangled Nonlinear Coherent States
In this paper, by using the parity operator as well as the nonlinear displacement-type operator, we define new operators which by the action of them on the vacuum state of the radiation field, superposition of two nonlinear coherent states and two-mode entangled nonlinear coherent states are generated. Also, we show that via the generalization of the presented method, the superposition of more than two nonlinear coherent states and n-mode entangled nonlinear coherent states can be generated. 相似文献
10.
Dušan Popov 《Czechoslovak Journal of Physics》2002,52(9):993-1010
In the paper we construct a new set of coherent states for a deformed Hamiltonian of the harmonic oscillator, previously introduced by Beckers, Debergh, and Szafraniec, which we have called the BDS-Hamiltonian. This Hamiltonian depends on the new creation operator a
+, i.e. the usual creation operator displaced with the real quantity . In order to construct the coherent states, we use a new measure in the Hilbert space of the Hamiltonian eigenstates, in fact we change the inner product. This ansatz assures that the set of eigenstates be orthonormalized and complete. In the new inner product space the BDS-Hamiltonian is self-adjoint. Using these coherent states, we construct the corresponding density operator and we find the P-distribution function of the unnormalized density operator of the BDS-Hamiltonian. Also, we calculate some thermal averages related to the BDS-oscillators system which obey the quantum canonical distribution conditions. 相似文献
11.
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
12.
S. Sivakumar 《International Journal of Theoretical Physics》2009,48(3):894-904
Entanglement of formation in a class of bipartite generalized coherent states is discussed. It is shown that a positive parameter
can be associated with these bipartite states so that the states with equal value for the parameter are of equal entanglement.
For the class of states considered, the maximum possible entanglement of one ebit is attained if the value of the positive
parameter is
. It is shown that the entanglement of formation is one ebit when the relative phase between the composing states is π in the class of bipartite generalized coherent states considered. 相似文献
13.
YANG Zhen-Biao 《理论物理通讯》2005,44(12)
We present an alternative scheme for preparing the superpositions of coherent states along a straight line of a cavity field using degenerate atom-cavity field Raman interaction. In the scheme, a collection of A-type three-level atoms is orderly sent through the cavity to interact with the cavity field adjusted by a microwave source connected to it, followed by state-selective measurements. In this way, we can prepare the superpositions of several coherent states along a straight line with arbitrary weighting factors for the cavity field. In the scheme, the coherence of the atom-cavity system may be maintained and the second microwave field is unnecessary, which is prior to the previous scheme. 相似文献
14.
Evaldo M. F. Curado Sofiane Faci Jean-Pierre Gazeau Diego Noguera 《Entropy (Basel, Switzerland)》2022,24(2)
In quantum information processing, using a receiver device to differentiate between two non-orthogonal states leads to a quantum error probability. The minimum possible error is known as the Helstrom bound. In this work, we study the conditions for state discrimination using an alphabet of squeezed coherent states and compare them with conditions using the Glauber-Sudarshan, i.e., standard, coherent states. 相似文献
15.
YANG Zhen-Biao 《理论物理通讯》2005,44(6):1073-1075
We present an alternative scheme for preparing the superpositions of coherent states along a straight line of a cavity field using degenerate atom-cavity field Raman interaction. In the scheme, a collection of A-type three-level atoms is orderly sent through the cavity to interact with the cavity field adjusted by a microwave source connected to it, followed by state-selective measurements. In this way, we can prepare the superpositions of several coherent states along a straight line with arbitrary weighting factors for the cavity field. In the scheme, the coherence of the atom-cavity system may be maintained and the second microwave field is unnecessary, which is prior to the previous scheme. 相似文献
16.
17.
S. J. Akhtarshenas 《International Journal of Theoretical Physics》2006,45(12):2199-2207
We study the boson–parafermion entanglement of the parasupersymmetric coherent states of the harmonic oscillator and derive the degree of entanglement in terms of the concurrence. The conditions for obtaining the maximal entanglement is also examined, and it is shown that in the usual supersymmetry situation we can obtain maximally entangled Bell states.
PACS numbers: 03.67.Ud 03.67.Mn 相似文献
18.
19.
20.
Pair coherent state, is a state of a two-mode radiation field that is known as a state with non-gaussian wave function. In this paper, study on the pair coherent state, we notice that with superposition of two first terms of this states, one two-qubits formed. Because of the importance of two-qubits in theory of quantum entanglement, with two different measures with the title of concurrence and D-concurrence, we have studied the amount of entanglement and
discussed its details. At the end, we describe these measures for pair coherent states as a function of the amplitude of the SU(2) coherent states. 相似文献