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Quantum properties of nonclassical states generated by an optomechanical system with catalytic quantum scissors 下载免费PDF全文
Heng-Mei Li 《中国物理 B》2023,32(1):14202-014202
A scheme is proposed to investigate the non-classical states generated by a quantum scissors device (QSD) operating on the the cavity mode of an optomechanical system. When the catalytic QSD acts on the cavity mode of the optomechanical system, the resulting state contains only the vacuum, single-photon and two-photon states depending upon the coupling parameter of the optomechanical system as well as the transmission coefficients of beam splitters (BSs). Especially, the output state is just a class of multicomponent cat state truncations at time t=2π by choosing the appropriate value of coupling parameter. We discuss the success probability of such a state and the fidelity between the output state and input state via QSD. Then the linear entropy is used to investigate the entanglement between the two subsystems, finding that QSD operation can enhance their entanglement degree. Furthermore, we also derive the analytical expression of the Wigner function (WF) for the cavity mode via QSD and numerically analyze the WF distribution in phase space at time t=2π. These results show that the high non-classicality of output state can always be achieved by modulating the coupling parameter of the optomechanical system as well as the transmittance of BSs. 相似文献
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Operators’s-parameterized ordering and its classical correspondence in quantum optics theory 下载免费PDF全文
In reference to the Weyl ordering xmpn→(1/2)mΣι=0m(ιm)Xm-ιPnXι , where X and P are coordinate and momentum operator, respectively, this paper examines operators’s-parameterized ordering and its classical correspondence, finds the fundamental function-operator correspondence ((1-s)/2)(n+m)/2Hm,n((2/(1-s))~(1/2)α,(2/(1-s))~(1/2)α)→a+man,and its complementary relation αnα*m→(-i)n+m((1-s)/2)(m+n)/2:Hm,n(i(2/(1-s))~(1/2)a+,i((2/(1-s))~(1/2)a):,where H m,n is the two-variable Hermite polynomial, a, a+ are bosonic annihilation and creation operators respectively, s is a complex parameter. The s’-ordered operator power-series expansion of s-ordered operator sa+mans in terms of the two-variable Hermite polynomial is also derived. Application of operators’s-ordering formula in studying displaced-squeezed chaotic field is discussed. 相似文献
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This paper investigates the decoherence of photo-subtracted squeezed vacuum state (PSSVS) in dissipative channel by describing its statistical properties with time evolution such as Wigner function,Husimi function,and tomogram.It first calculates the normalization factor of PSSVS related to Legendre polynomial.After deriving the normally ordered density operator of PSSVS in dissipative channel,one obtains the explicit analytical expressions of time evolution of PSSVS’s statistical distribution function.It finds that these statistical distributions loss their non-Gaussian nature and become Gaussian at last in the dissipative environment as expected. 相似文献
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Based on the construction of supersymmetric generators, we
use the Lewis--Riesenfeld invariant method to deduce the exact and
explicit eigen-energy spectrum with the time-dependent thermo
Jaynes--Cummings model. One of the advantages of this approach is
that it can transform the hidden form, related to the chronological
product, of the time evolution operator into an explicit expression.
Moreover, the dynamical and statistics properties of physical
quantities are obtained for the given initial states in the thermo
Jaynes--Cummings system. 相似文献
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Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states:Non-classical and non-Gaussian properties 下载免费PDF全文
We investigate the nonclassical properties of arbitrary number photon annihilation-then-creation operation(AC) and creation-then-annihilation operation(CA) to the thermal state(TS), whose normalization factors are related to the polylogarithm function. Then we compare their quantum characters, such as photon number distribution, average photon number,Mandel Q-parameter, purity and the Wigner function. Because of the noncommutativity between the annihilation operator and the creation operator, the ACTS and the CATS have different nonclassical properties. It is found that nonclassical properties are exhibited more strongly after AC than after CA. In addition we also examine their non-Gaussianity. The result shows that the ACTS can present a slightly bigger non-Gaussianity than the CATS. 相似文献
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By virtue of the density operator's P-representation in the coherent state representation, we derive a new quantum mechanical photon counting distribution formula. As its application, we calculate photon counting distributions for some given light fields. It is found that the pure squeezed state's photon counting distribution is related to the Legendre function, which is a new result. 相似文献
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New transformation of Wigner operator in phase space quantum mechanics for the two-mode entangled case 下载免费PDF全文
As a natural and important extension of Fan's paper (Fan Hong-Yi 2010 Chin. Phys. B 19 040305) by employing the formula of operators' Weyl ordering expansion and the bipartite entangled state representation this paper finds a new two-fold complex integration transformation about the Wigner operator Δ ( μ,v ) (in its entangled form) in phase space quantum mechanics, and its inverse transformation. In this way, some operator ordering problems regarding to ( a1+-a2) and (a1+a2+) can be solved and the contents of phase space quantum mechanics can be enriched, where ai,ai+ are bosonic creation and annihilation operators, respectively. 相似文献
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We propose a simple experimental scheme in which an unknown two-qubit state
is faithfully and deterministically teleported from Alice to Bob. The scheme
is constructed with four photons from parametric down conversion, linear
optical elements, and conventional photon detectors, all of which are
available in current technology. It is shown that the probability of
successful teleportation ideally reaches 100% based on single-photon
two-qubit-assisted Bell-state measurement, which can distinguish all
four Bell-states simultaneously via conventional photon detectors. By
generalizing the scheme, the teleportation of an unknown multi-qubit system
can also be realized. 相似文献