Nonclassical properties of Hermite polynomial’s coherent state

Ren, Gang; Du, Jiangfeng; Yu, Hai-jun; Xu, Ye-Jun

doi:10.1364/josab.29.003412

Cited by 22 publications

(11 citation statements)

References 25 publications

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“…These two works provide a possible way to prepare the polynomial form quantum states in an environment channel. In addition, some researchers considered theoretically Hermite polynomial quantum states by operating a Hermite polynomial operator on quantum states such as a coherent state and squeezed state [19][20][21][22]. Their discussions show that the nonclassicality of quantum states can be enhanced by a Hermite polynomial operation.…”

Section: Introductionmentioning

confidence: 99%

Laguerre polynomial excited coherent state: generation and nonclassical properties

Zhou

Zhang

et al. 2017

Laser Phys. Lett.

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We propose a theoretical protocol to generate a kind of non-Gaussian state-a Laguerre polynomial excited coherent state (LPECS) by exploiting a two-mode squeezing transformation and a conditional measurement with a coherent state input. Then we investigate the nonclassical features of the LPECS according to the Glauber-Sudarshan P (α) function, photon number distribution, Mandel's Q parameter, second-order correlation function, and squeezing properties as well as negative Wigner distribution. Our results show that the generated output state presents obvious nonclassical properties which can be modulated by a coherent amplitude, a squeezing parameter and a conditional measurement. In particular, the squeezing and negative Wigner function are clear.

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Section: Introductionmentioning

confidence: 99%

Laguerre polynomial excited coherent state: generation and nonclassical properties

Zhou

Zhang

et al. 2017

Laser Phys. Lett.

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“…The Hermite polynomial state is an interesting type of nonclassical state with minimum uncertainty [35,36], and it has been studied by some researchers [19,37,38]. Theoretically, the Hermite polynomial state can be generated by a generalized Hermite polynomial operation applied on a coherent state or a single-mode squeezed vacuum [37,38], such as añ…”

Section: Introductionmentioning

confidence: 99%

Multiphoton catalysis with coherent state input: nonclassicality and decoherence

Hu¹,

Wu²,

Liao³

et al. 2016

J. Phys. B: At. Mol. Opt. Phys.

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We propose a scheme to generate a new kind of non-Gaussian state—the Laguerre polynomial excited coherent state (LPECS)—by using multiphoton catalysis with coherent state input. The nonclassical properties of the LPECS are studied in terms of nonclassical depth, Mandel’s parameter, second-order correlation, quadrature squeezing, and the negativity of the Wigner function (WF). It is found that the LPECS is highly nonclassical and its nonclassicality depends on the amplitude of the coherent state, the catalysis photon number, and the parameters of the unbalanced beam splitter (BS). In particular, the maximum degree of squeezing can be enhanced by increasing the catalysis photon number. In addition, we examine the effect of decoherence using the WF, which shows that the negative region, the characteristic time of decoherence, and the structure of the WF are affected by catalysis photon number and the parameters of the unbalanced BS. Our work provides general analysis on how to prepare polynomial quantum states, which may be useful in the fields of quantum information and quantum computation.

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“…Recently, Lee and Nha [23] proposed a coherent superposition of photon addition and subtraction, ta + ra † (|t| 2 + |r| 2 = 1) acting on a coherent state and a thermal state. More recently, we investigated the nonclassical properties of optical fields generated by Hermite-excited coherent state [24] and Hermite-excited squeezed thermal states [25].…”

Section: Introductionmentioning

confidence: 99%

Generating Hermite polynomial excited squeezed states by means of conditional measurements on a beam splitter

Yuan

Fan

2015

J. Opt. Soc. Am. B

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A scheme for conditional generating a Hermite polynomial excited squeezed vacuum states (HESVS) is proposed. Injecting a two-mode squeezed vacuum state (TMSVS) into a beam splitter (BS) and counting the photons in one of the output channels, the conditional state in the other output channel is just a HESVS. To exhibit a number of nonclassical effects and non-Guassianity, we mainly investigate the photon number distribution, sub-Poissonian distribution, quadrature component distribution, and quasi-probability distribution of the HPESVS. We find that its nonclassicality closely relates to the control parameter of the BS, the squeezed parameter of the TMSVS, and the photon number of conditional measurement. These further demonstrate that performing the conditional measurement on a BS is an effective approach to generate non-Guassian state.

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Nonclassical properties of Hermite polynomial’s coherent state

Cited by 22 publications

References 25 publications

Laguerre polynomial excited coherent state: generation and nonclassical properties

Laguerre polynomial excited coherent state: generation and nonclassical properties

Multiphoton catalysis with coherent state input: nonclassicality and decoherence

Generating Hermite polynomial excited squeezed states by means of conditional measurements on a beam splitter

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