共查询到17条相似文献,搜索用时 203 毫秒
1.
By introducing the entangled Fresnel operator (EFO) this paper demonstrates that there exists ABCD theorem for two-mode entangled case in quantum optics. The canonical operator method as mapping of ray-transfer ABCD matrix is explicitly shown by EFO's normally ordered expansion through the coherent state representation and the technique of integration within an ordered product of operators. 相似文献
2.
Optical Four-Wave Mixing Operator, Fresnel Operators and Three-Mode Entangled State Representation 下载免费PDF全文
We analyse the optical four-wave mixing operator S and relate it to the two-mode Fresnel operator. It is shown that the direct product of the two-mode Fresnel operator and the single-mode Fresnel operator has a natural representation on the basis of a three-mode entangled state, which is constructed by S and a beam splitter transform. 相似文献
3.
New decomposition of the Fresnel operator corresponding to the optical transformation in AB CD-systems 下载免费PDF全文
By virtue of the coherent state representation of the newly introduced Fresnel operator and its group product property we obtain new decomposition of the Fresnel operator as the product of the quadratic phase operator, the squeezing operator, and the fractional Fourier transformation operator, which in turn sheds light on the matrix optics design of ABCD-systems The new decomposition for the two-mode Fresnel operator is also obtained by the use of entangled state representation. 相似文献
4.
LIN Xiu LI Hong-Cai YANG Rong-Can HUANG Zhi-Ping 《理论物理通讯》2008,49(3):621-624
An alternative scheme is proposed for teleportation of an unknown atomic-entangled state. The scheme is based on the resonant interaction of a two-mode cavity field with a A-type three-level atom. In contrast with the previously proposed scheme of [Commun. Theor. Phys. 47 (2007) 253], the present scheme is ascendant, since the fidelity is 1.0 in principle similarly without the Bell-state measurement. The scheme may be generalized to not only the teleportation of the cavity-mode-entangled-state but also the teleportation of the multi-atomic entangled states included in generalized GHZ states. And the scheme is experimentally feasible based on the current cavity QED technique. 相似文献
5.
We propose an alternative scheme for generation of atomic Schrodinger cat states in an optical cavity. In the scheme the atoms are always populated in the two ground states and the cavity remains in the vacuum state. Therefore, the scheme is insensitive to the atomic spontaneous emission and cavity decay. The scheme may be generalized to the deterministic generation of entangled coherent states for two atomic samples. In contrast with the previously proposed schemes of [Commun. Theor. Phys. 40 (2003) 103 and Chin. our scheme is greatly shortened and thus the deeoherence can Phys. B 18 (2009) 1045], the required interaction time in be effectively suppressed. 相似文献
6.
Kai-Min Zheng Shi-You Liu Hao-Liang Zhang Cun-Jin Liu Li-Yun Hu 《Frontiers of Physics》2014,9(4):451-459
Using the technique of integration within an ordered product of operators we construct a generalized two-mode entangled state, which can be generated by an asymmetrical beam splitter (BS). Some important properties of this state, such as orthogonality and Schmidt decomposition, are also dis- cussed by deriving the expression of BS operator in coordinate representation. As its applications, to conjugate state, obtain operator identities, generate new squeezing operators (squeezed state) are also presented. It is shown that the fidelity of quantum teleportation can be enhanced under certain case by using the asymmetrical new squeezed state as entangled resource. 相似文献
7.
HU Li-Yun FAN Hong-Yi 《理论物理通讯》2008,50(10):951-954
By establishing the relation between the optical scaled fractional Fourier transform (FFT) and quantum mechanical squeezing-rotating operator transform, we employ the bipartite entangled state representation of two-mode squeezing operator to extend the scaled FFT to more general cases, such as scaled complex FFT and entangled scaled FFT. The additiyity and eigenmodes are presented in quantum version. The relation between the scaled FFT and squeezing-rotating Wigner operator is studied. 相似文献
8.
By employing the technique of integration within an ordered product of operators, we derive natural representations of the rotation operator, the two-mode Fourier transform operator and the two-mode parity operator in entangled state representations. As an application, it is proved that the rotation operator constructed by the entangled state representation is a useful tool to solve the exact energy spectra of the two-mode harmonic oscillators with coordinat-momentum interaction. 相似文献
9.
FAN Hong-Yi CAO He-Lin 《理论物理通讯》2007,47(1):135-138
By virtue of the technique of integration within an ordered product of operators a new four-mode squeezing operator that squeezes the four-mode quadrature operators of light field in the standard way is found. This operator differs from the direct product of two two-mode squeezing operators, It is the exponential operator V≡exp[ir (Q1P2+Q2P3+Q3P4+Q4P1)].The Wigner function of the new four-mode squeezed state is ealculated,which quite differs from that of the direct-product state of two usual two-mode squeezed states. 相似文献
10.
FAN Hong-Yi Hai-Liang 《理论物理通讯》2006,46(4):599-602
We show that the time-dependent two-mode Fresnel operator is just the time-evolutional unitary operator governed by the Hamiltonian composed of quadratic combination of canonical operators in the way of exhibiting SU(1,1) algebra. This is an approach for obtaining the time-dependent Hamiltonian from the preassigned time evolution in classical phase space, an approach which is in contrast to Lewis-Riesenfeld's invariant operator theory of treating timedependent harmonic oscillators. 相似文献
11.
Optical Operator Method Studied via Fresnel Operator Decomposition and Coherent State Representation
MA Shan-Jun HU Li-Yun FAN Hong-Yi 《理论物理通讯》2008,49(5):1295-1298
We find that the mapping from classical optical transformations to
the optical operator method can be realized by using the coherent state
representation and the technique of integration within an ordered product of
operators. The optical Fresnel operator derived in (Commun. Theor. Phys.
(Beijing, China) 38 (2002) 147) can unify those frequently used optical operators. Various
decompositions of Fresnel operator into the exponential canonical operators
are obtained. 相似文献
12.
We study optical Fresnel transforms by finding the appropriate quantum mechanical SU(1,1) squeezing operators which are composed of quadratic combination of canonical operators. In one-mode case, the squeezing operator's matrix element in the coordinate basis is just the kernel of one-dimensional generalized Fresnel transform (GFT); while in two-mode case, the matrix element of the squeezing operator in the entangled state basis leads to the two-dimensional GFT kernel. The work links optical transforms in wave optics to generalized squeezing transforms in quantum optics. 相似文献
13.
In the preceding paper (Commun. Theor. Phys. 51 (2009) 321) we have recommended a convenient method for disentangling exponential operators. In this work we use this method for disentangling exponential operators composed of angular momentum operators. We mainly disentangle the form of exp [ 2hJz+gJ++kJ-] as the ordering exp(... J+) exp (...Jz)exp(...J-), we employ the Schwinger Bose realization J-=b+a, J+=a+b, Jz=( a+a-b+b)/2 to fulfil this task, without appealing to Lie algebra method. Note that this operator's disentangling is different from its decomposition in normal ordering. 相似文献
14.
In this paper, we studied the general formula of normal product calculation for boson exponential quadratic operators (EQO) which is first obtained by WANG et al. (J. Phys. A: Math. Gen. 27 (1994) 6563]. It is shown that the boundness of boson EQO will result in a restriction on the applicable bounds of this formula. According to the restriction condition, the conclusion about unity operator given by MA et al. [Commun. Theor. Phys. (Beijing,China) 21 (1994) 119] should be made some corresponding corrections. At last, we extended this formula to the case of fermion for the convenience of later applications. 相似文献
15.
Jian-ming Du Jian-guo Ma Gang Ren 《International Journal of Theoretical Physics》2012,51(6):1911-1916
Using the identity of operator decomposition we obtain a normal ordered form of the time-evolution operator for cross coupling
quantum harmonic oscillator Hamiltonian system in two dimensions, which is just a special two-mode Fresnel operator. The Feynman
propagator for the Hamiltonian system is found by a direct calculation by means of the method deriving the matrix element
of two-mode Fresnel operator in the entangled state representation. The technique of integration within an ordered product
(IWOP) of operators is employed to derive the matrix elements of the operator in the coherent state and the entangled state
representations. 相似文献
16.
XU Xue-Fen 《理论物理通讯》2008,50(4):979-982
In similar to the derivation of phase angle operator conjugate to the number
operator by Arroyo Carrasco-Moya Cessay we deduce the Hermitian phase
operators that are conjugate to the two-mode number-difference operator and
the three-mode number combination operator. It is shown that these operators
are on the same footing in the entangled state representation as the one of
Turski in the coherent state representation. 相似文献
17.
We introduce a new unitary operator U which can engender a squeezing and rotating entangled transformation. The U operator has a concise expression in a new representation in two-mode Fock space. The normally ordered form of U can be derived by using the technique of integration within an ordered product of operators. The fluctuation in quadrature phases for these squeezing-rotating entangled states are analyzed. 相似文献