Photon-subtracted squeezed thermal state: Nonclassicality and decoherence

Hu, Li-Yun; Xu, Xue-Xiang; Wang, Zisheng; Xu, Xuefen

doi:10.1103/physreva.82.043842

Cited by 103 publications

(43 citation statements)

References 62 publications

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“…which is a Legendre polynomial with a condition n m, this result implies that the photon-number (n) involved in PASTSs is always not less than the photon-number (m) operated on the STSs, and that no photon distribution exists when n < m. When m=0 corresponding to the STS, the PND of STS is also a Legendre distribution [32] . Next, we discuss the PSSTS, defined as…”

Section: −1mentioning

confidence: 81%

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New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states

Hu¹,

Zhang²

2012

中国光学快报

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Using the thermal field dynamics theory to convert the thermal state into a "pure" state in doubled Fock space, we find that the average value of e f a † a under squeezed thermal state (STS) is just the generating function of Legendre polynomials. Based on this remarkable result, the normalization and photon-number distributions of m-photon added (or subtracted) STSs are conviently obtained as the Legendre polynomials. This new concise method can be expanded to the entangled case.OCIS codes: 270.0270, 270.5290. doi: 10.3788/COL201210.082701.The nonclassicality of optical fields is helpful in understanding the fundamentals of quantum optics and has many applications in quantum information processing [1] . The subtraction or addition of photons from/to traditional quantum states or Gaussian states has been proposed to generate and manipulate various nonclassical optical field [2−11] . For example, photon addition and subtraction have been experimentally demonstrated to probe quantum commutation rules [9] . Recently, photon-added (-subtracted) Gaussian states have received more attention from both experimentalists and theoreticians [12−21] , because these states exhibit numberous nonclassical properties and may provide access to a complete engineering of quantum states and fundamental quantum phenomena.Theoretically, the normalization factors of such quantum states are essential for studying their nonclassical properties. Very recently, Fan et al.[22] presented a new concise approach for normalizing m-photon-added (-subtracted) squeezed vacuum state (pure state) by constructing a generating function. However, most systems are not isolated, are immersed in a thermal reservoir, and thus, we often have no enough information to specify completely the state of a system. In such situations, the system only can be described by mixed states, such as thermal states. In addition, the squeezed thermal states (STSs) can be considered as the generalized Gaussian states.In this letter, we shall extend this case to the mixed state, i.e., by using the thermal field dynamics (TFD) theory to convert the thermal state into a "pure" state in doubled Fock space. We present a new concise method for normalizing photon-added (-subtracted) STSs (PASTSs, PSSTSs) and deriving their photon-number distributions (PNDs), which have been a major topic of studies on quantum optics and statistics. The normalization factors and PNDs were found to be related to the Legendre polynomials in compact form.We begin by briefly reviewing the properties of a thermal state. For a single mode with frequency ω in a thermal equilibrium state corresponding to absolute temperature T , the density operator iswhere n c = {exp[ ω/(kT )] − 1} −1 is the average photon number of the thermal state ρ th and k is the Boltzmann's constant. |n = a †n / √ n! |0 and the normally ordering form of vacuum projector |0 0| = : exp(−a † a) : (the symbol : : denotes normal ordering). One can express Eq. (1) aswhere in the last step, the operator identity exp λa † a = : exp e λ − 1 ...

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Section: −1mentioning

confidence: 81%

“…[30,32]. We convert the thermal state to a pure state in doubled Fock space in which the calculations of ensemble averages under a mixed state ρ, i.e.…”

Section: −1mentioning

confidence: 99%

New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states

Hu¹,

Zhang²

2012

中国光学快报

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“…The WF of ρ is given in the coherent representation jβ〉 is expressed as [44,45] WðzÞ ¼ 2e 2jzj 2 π Z d 2 β π 〈 À βjρjβ〉e À 2ðβz n À β n zÞ ;…”

Section: Wigner Function Of the Acsv And The Casvmentioning

confidence: 99%

Nonclassicality generated by repeatedly operating photon annihilation-then-creation and creation-then-annihilation on squeezed vacuum

Yuan

Zhou

2015

Optics Communications

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“…On the other hand, photon subtraction and addition represented by bosonic annihilation operator a and creation operator a + can be employed to transform a field state to a desired one [5]. There are a large number of reports describing operator acting on light field state to generate new quantum state [6][7][8][9][10][11][12][13]. For example, Xu et al have constructed a generalization squeezed Fock state by squeezed operator with three real parameters acting on three-mode Fock state [6], and studied its nonclassical property and decoherence.…”

Section: Introductionmentioning

confidence: 99%

Quantum Properties of Single-Mode Squeezing and Two-Mode Squeezing Repeated Role Two-Mode Vacuum State

Dao-ming

2015

Int J Theor Phys

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One new quantum state called single-mode squeezing and two-mode squeezing repeated role two-mode vacuum state (SMSTMSVT) is constructed by single-mode squeezing operator and two-mode squeezing operator repeated role in two-mode vacuum state. Its squeezing, antibunching effect, violation of Cauchy-Schwartze inequality and entanglement property between two modes are analyzed by the technique of integration with in an ordered product of operators. Unitary transformation of single-mode squeezing and that of two-mode squeezing are utilized in the calculation process. The influences of singlemode squeezing parameter on quantum properties are discussed. The results by numerical calculation show that its squeezing is strengthened with increasing of single-mode squeezing parameter, but its entanglement property and violation of Cauchy-Schwartze inequality are weakened with increasing of single-mode squeezing parameter. On the other hand, its antibunching effect is not influenced by single-mode squeezing parameter, and it always displays bunching effect.

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Photon-subtracted squeezed thermal state: Nonclassicality and decoherence

Cited by 103 publications

References 62 publications

New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states

New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states

Nonclassicality generated by repeatedly operating photon annihilation-then-creation and creation-then-annihilation on squeezed vacuum

Quantum Properties of Single-Mode Squeezing and Two-Mode Squeezing Repeated Role Two-Mode Vacuum State

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