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Journal articles on the topic 'Phonon squeezé'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Su, Xiyu, and Hang Zheng. "Properties of the Squeezed Polarons in One Dimension." International Journal of Modern Physics B 12, no. 22 (September 10, 1998): 2225–32. http://dx.doi.org/10.1142/s0217979298001290.

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An electron related squeezed phonon transformation is employed to investigate the ground state properties of the strongly coupled electron–phonon system in one dimension. It has been shown that the binding energy of the polaron and the interaction between the polarons are renormalized together with the energy reducement of the electron subsystem resulted from the squeeze state of the phonon subsystem. Some relevance with the earlier variational treatments has been discussed as well.

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2

PANG, XIAO-FENG. "CHANGES IN THE PHYSICAL PROPERTIES OF NONADIABATICALLY COUPLED ELECTRON–PHONON SYSTEMS ARISING FROM SQUEEZING–ANTISQUEEZING EFFECT." International Journal of Modern Physics B 17, no. 31n32 (December 30, 2003): 6031–56. http://dx.doi.org/10.1142/s0217979203023471.

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Changes in the physical properties such as the ground state properties, charge density wave ordering, binding energy and energy bandwidth of polaron and quantum fluctuation, and minimum uncertainty relation of phonons and nonadiabatically coupled electron–phonon systems with spin-1/2 have been investigated by our new state ansatz which can account for correlation among the phononic displacement, squeezing and polaron effects using variational method in one-dimensional Holstein model. The investigation here shows that the squeezing–antisqueezing effect (correlated) results in a decrease of the ground state energy, an increase of the binding energy of polarons, the reduction of the uncertainty and quantum fluctuation of the phonons, a decrease of polaron narrowing of electron bandwidth, an increase of tunneling effect of the polarons and an increase of CDW ordering and phonon staggered ordering when compared with the uncorrelated case. Therefore, this shows that the ground state determined by the new state ansatz is the most stable. The new ansatz which include the squeezing–antisqueezing (correlated) effect is very relevant for the coupled electron–phonon systems, especially in strongly coupled and highly squeezed cases.

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3

Acosta-Humánez, P. B., S. I. Kryuchkov, E. Suazo, and S. K. Suslov. "Degenerate parametric amplification of squeezed photons: Explicit solutions, statistics, means and variances." Journal of Nonlinear Optical Physics & Materials 24, no. 02 (June 2015): 1550021. http://dx.doi.org/10.1142/s0218863515500216.

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In the Schrödinger picture, we find explicit solutions for two models of degenerate parametric oscillators in the case of multi-parameter squeezed input photons. The corresponding photon statistics and Wigner's function are also derived in coordinate representation. Their time evolution is investigated in detail. The unitary transformation and an extension of the squeeze/evolution operator are briefly discussed.

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4

FEINBERG, D., S. CIUCHI, and F. de PASQUALE. "SQUEEZING PHENOMENA IN INTERACTING ELECTRON-PHONON SYSTEMS." International Journal of Modern Physics B 04, no. 07n08 (June 1990): 1317–67. http://dx.doi.org/10.1142/s0217979290000656.

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The molecular crystal model of electrons coupled to Einstein phonons is studied as a function of the two parameters: the coupling constant A and the ratio of the electron-phonon coupling energy to the phonon energy, denoted by α. Both the one-electron and the many-electron models are studied, starting (for the former) from the adiabatic limit and (for the latter) from the anti-adiabatic one. In the “multiphonon” regime α>1, the sharp crossover between quasi-free electrons (λ≪1) and small polarons (λ≫1) is investigated, emphasizing the anomalous lattice fluctuations which occur in the intermediate regime (λ≈1). These fluctuations are due to the band motion of the electrons strongly coupled to the lattice and are shown in turn to weaken the electron mass renormalization inherent to self-trapping. In a relevant part of the intermediate region the effective electron mass slowly increases with λ, due to a competition between the phonon dressing effect and the reduction of lattice momentum fluctuations. This reduction is reminiscent of squeezing phenomena occurring in quantum optics. In a gaussian approximation squeezed phonon states imply a dynamical phonon softening.

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5

Liyun Hu, Liyun Hu, and Zhiming Zhang Zhiming Zhang. "New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states." Chinese Optics Letters 10, no. 8 (2012): 082701–82704. http://dx.doi.org/10.3788/col201210.082701.

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6

Selvadoray, Mary, M. Sanjay Kumar, and R. Simon. "Photon distribution in two-mode squeezed coherent states with complex displacement and squeeze parameters." Physical Review A 49, no. 6 (June 1, 1994): 4957–67. http://dx.doi.org/10.1103/physreva.49.4957.

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7

Lo, C. F., and R. Sollie. "Correlated squeezed phonon states." Physics Letters A 169, no. 1-2 (September 1992): 91–98. http://dx.doi.org/10.1016/0375-9601(92)90812-z.

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8

CHATTERJEE, JAYITA, and A. N. DAS. "FIRST EXCITED STATE CALCULATION USING DIFFERENT PHONON BASES FOR THE TWO-SITE HOLSTEIN MODEL." International Journal of Modern Physics B 14, no. 24 (September 30, 2000): 2577–86. http://dx.doi.org/10.1142/s0217979200002247.

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The single-electron energy and static charge-lattice deformation correlations have been calculated for the first excited state of a two-site Holstein model within perturbative expansions using different standard phonon bases obtained through Lang–Firsov (LF) transformation, LF with squeezed phonon states, modified LF, modified LF transformation with squeezed phonon states, and also within weak-coupling perturbation approach. Comparisons of the convergence of the perturbative expansions for different phonon bases reveal that modified LF approach works much better than other approaches for major range of the coupling strength.

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9

Sainz De Los Terreros, L., P. García-Fernández, and F. J. Bermejo. "Squeezed states in two-phonon devices." Physics Letters A 130, no. 2 (June 1988): 87–93. http://dx.doi.org/10.1016/0375-9601(88)90244-7.

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10

DARWISH, M. "NONLINEAR SQUEEZED VACUUM STATES: NONCLASSICAL PROPERTIES." International Journal of Modern Physics B 19, no. 04 (February 10, 2005): 715–29. http://dx.doi.org/10.1142/s0217979205026725.

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Some of the properties of nonlinear squeezed vacuum states associated with trapped ions are considered, especially the photon number distribution, the phase properties, the Husimi–Kano Q function and the Wigner–Moyal W function of these nonlinear squeezed vacuum states. The structure of these functions is shown to depend on the nonlinearity parameter, its functional dependence and the squeezing parameter. It is shown that increasing the nonlinearity parameter results in the photon number distribution being squeezed independent.

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11

Du, Chunguang, and Shiqun Li. "Optical Multistability from a Squeezed Vacuum in the Presence of Quantum Interference." Australian Journal of Physics 53, no. 5 (2000): 689. http://dx.doi.org/10.1071/ph99094.

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The effect of a squeezed vacuum on the optical bistable and multistable behaviour of a system of N three-level atoms is investigated, where the quantum interference between the atomic transition paths is considered. It is shown that the squeezed vacuum can profoundly affect the output field of this system. A strong squeezed vacuum can lead to multistable behaviour, even in the case where the cooperation parameter C is so small that the input–output relationship curve is monotone in the absence of the squeezed vacuum. The optical multistability is most significant when the quantum interference is perfect. The bistability and multistability can be controlled by the squeezing photon number and the strength of the two-photon correlation.

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12

MIR, MUBEEN A. "DIPOLE SQUEEZING OF THE ATOM IN A TWO-ATOM SYSTEM: EFFECTS OF THE SUPERPOSITION STATES." International Journal of Modern Physics B 08, no. 18 (August 15, 1994): 2525–38. http://dx.doi.org/10.1142/s0217979294001019.

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Dipole squeezing of the atom in the presence of another atom is investigated for the one-photon and two-photon transition mechanism with the initial atoms in the two-atom squeezed state and the field in a vacuum, a coherent, or a squeezed state. For a vacuum input, the degree of squeezing is shown to depend on the photon multiplicity 'm' and the superposition angles of the atoms, θ1 and θ2. One of the quadratures of the atomic polarization is found to exhibit permanent squeezing only for some nonzero values of θ1, as well as θ2. The effect of θ2 on the dipole squeezing, however, is found to be negligible for the initial field in a coherent or a squeezed state. A comparison with the dipole squeezing of a single atom is also presented.

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13

Fakhri, H., and M. Sayyah-Fard. "Noncommutative photon-added squeezed vacuum states." Modern Physics Letters A 35, no. 20 (May 29, 2020): 2050167. http://dx.doi.org/10.1142/s0217732320501679.

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Noncommutative optical squeezed vacuum states are constructed as eigenstates of an appropriate two-photon annihilation operator corresponding to the Biedenharn–Macfarlane [Formula: see text]-oscillator. We consider in details the role of noncommutativity parameter [Formula: see text] on the nonclassical behaviors including quadrature squeezing and sub-Poissonian statistics. Also, we construct the noncommutative photon-added squeezed vacuum states and consider their Hillery-type higher-order squeezing and single-mode noise band.

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14

Bloch, Anthony M., and Alberto G. Rojo. "Control of Squeezed Phonon and Spin States." European Journal of Control 10, no. 5 (January 2004): 469–77. http://dx.doi.org/10.3166/ejc.10.469-477.

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15

Bloch, Anthony M., and Alberto G. Rojo. "Control of Squeezed Phonon and Spin States." IFAC Proceedings Volumes 36, no. 2 (April 2003): 27–34. http://dx.doi.org/10.1016/s1474-6670(17)38863-8.

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16

Sota, Takayuki, and Katsuo Suzuki. "Phonon squeezed state in high-Tc superconductors." Physica B: Condensed Matter 165-166 (August 1990): 1083–84. http://dx.doi.org/10.1016/s0921-4526(09)80127-0.

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17

Sonnek, Mathias, Hubert Eiermann, and Max Wagner. "Squeezed excited states in exciton-phonon systems." Physical Review B 51, no. 2 (January 1, 1995): 905–15. http://dx.doi.org/10.1103/physrevb.51.905.

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18

D’Ariano, G. M., and N. Sterpi. "Statistical fractional-photon squeezed states." Physical Review A 39, no. 4 (February 1, 1989): 1860–68. http://dx.doi.org/10.1103/physreva.39.1860.

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19

AN, NGUYEN BA, and VO TINH. "POLARITON-ADDED MECHANISM FOR NONCLASSICAL EXCITON PRODUCTION." International Journal of Modern Physics B 13, no. 01 (January 10, 1999): 73–81. http://dx.doi.org/10.1142/s0217979299000060.

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20

JOSHI, AMITABH, and S. V. LAWANDE. "SOME FEATURES OF SQUEEZED NEGATIVE BINOMIAL STATE." International Journal of Modern Physics B 06, no. 03n04 (February 1992): 409–15. http://dx.doi.org/10.1142/s0217979292000219.

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Properties of electromagnetic field in the squeezed negative binomial state are investigated in terms of photon number distribution and Wigner function. The relationship of the density matrix of the squeezed negative binomial state to the density matrix of the squeezed thermal state is shown explicitly. The possibility of generation of the negative binomial state is also discussed.

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21

AN, NGUYEN BA. "SQUEEZED STATE OF BIEXCITONS IN EXCITED SEMICONDUCTORS." International Journal of Modern Physics B 06, no. 03n04 (February 1992): 395–407. http://dx.doi.org/10.1142/s0217979292000207.

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Exact time-evolution is analytically derived from a coherent photon-exciton system subjected to a monochromatic radiation field resonant with the exciton-biexciton transition. It is shown that biexcitons, which appear under the resonant pumping, might periodically behave as squeezed quasiparticles, if photons or/and excitons are initially in squeezed states. The squeezing degree of the initial photons or/and excitons, the pumping intensity and the off-resonance detuning are demonstrated to govern the transfer of squeezing from the photon-exciton system to the biexciton.

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22

Vaidya, V. D., B. Morrison, L. G. Helt, R. Shahrokshahi, D. H. Mahler, M. J. Collins, K. Tan, et al. "Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device." Science Advances 6, no. 39 (September 2020): eaba9186. http://dx.doi.org/10.1126/sciadv.aba9186.

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We report demonstrations of both quadrature-squeezed vacuum and photon number difference squeezing generated in an integrated nanophotonic device. Squeezed light is generated via strongly driven spontaneous four-wave mixing below threshold in silicon nitride microring resonators. The generated light is characterized with both homodyne detection and direct measurements of photon statistics using photon number–resolving transition-edge sensors. We measure 1.0(1) decibels of broadband quadrature squeezing (~4 decibels inferred on-chip) and 1.5(3) decibels of photon number difference squeezing (~7 decibels inferred on-chip). Nearly single temporal mode operation is achieved, with measured raw unheralded second-order correlations g(2) as high as 1.95(1). Multiphoton events of over 10 photons are directly detected with rates exceeding any previous quantum optical demonstration using integrated nanophotonics. These results will have an enabling impact on scaling continuous variable quantum technology.

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23

MIR, MUBEEN A., and M. S. K. RAZMI. "AMPLITUDE-SQUARED SQUEEZING IN THE m-PHOTON JAYNES-CUMMINGS MODEL WITH SQUEEZED FIELD INPUT." International Journal of Modern Physics B 06, no. 13 (July 10, 1992): 2409–22. http://dx.doi.org/10.1142/s0217979292001213.

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Amplitude-squared (AS) squeezing has been investigated for the m-photon Jaynes-Cummings model assuming the field to be initially in the squeezed states. The role played by intensity-dependent coupling has also been discussed. It has been shown that for the large initial average photon number [Formula: see text] with odd values of m, AS squeezing revokes permanently whereas with even values it recurs periodically. As m increases the revocation is hastened and the duration of occurrence decreases. Higher values of m for the initial field in a squeezed vacuum state can make one of the quadrature permanently squeezed. The AS squeezing behavior for two initial states of the atom, i.e., ground state versus excited state is also compared.

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24

D’ARIANO, G. M. "NUMBER-PHASE SQUEEZED STATES AND PHOTON FRACTIONING." International Journal of Modern Physics B 06, no. 09 (May 10, 1992): 1291–354. http://dx.doi.org/10.1142/s0217979292000669.

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The number-phase squeezing mechanisms related to the multiphoton and photonfractioning procedures are analyzed. The main ingredients in these approaches are nonlinear multimode realizations of group-theoretical states and nonunitary subdynamics of the field modes. The states which are squeezed in the number of photons are suited to optical communications in local area networks; the states squeezed in the phase of the field optimize high-sensitive interferometry. Corresponding to the different kinds of squeezing and to the pertaining grouptheoretical states one has different types of amplifying devices with the same dynamical group of the states. In particular, two recently proposed devices – the photon-number amplifier (PNA) and the photon-number duplicator (PND) – attain both the multiphoton and photon-fractioning transformations. The PNA amplifies the field without degrading the direct-detection signal-to-noise ratio and thus can be used to produce number-squeezed states; the PND provides two copies of the same input number-state and, therefore, can connect two-mode states with one-mode states. Both the PNA and PND allow the realization of virtually lossless optical taps, which are essential in designing highly transparent local area networks. The PND can also be used in series with a conventional phase-insensitive amplifier to produce phase-squeezed states.

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25

Hu, Xuedong, and Franco Nori. "Phonon squeezed states: quantum noise reduction in solids." Physica B: Condensed Matter 263-264 (March 1999): 16–29. http://dx.doi.org/10.1016/s0921-4526(98)01483-5.

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26

Hu, Xuedong, and Franco Nori. "Quantum phonon optics: Coherent and squeezed atomic displacements." Physical Review B 53, no. 5 (February 1, 1996): 2419–24. http://dx.doi.org/10.1103/physrevb.53.2419.

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27

Sonnek, Mathias, and Max Wagner. "Squeezed oscillatory states in extended exciton-phonon systems." Physical Review B 53, no. 6 (February 1, 1996): 3190–202. http://dx.doi.org/10.1103/physrevb.53.3190.

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28

Shi, Yun-long, Hong Chen, and Xiang Wu. "Displaced-Squeezed States in a Spin-Phonon Model." Communications in Theoretical Physics 14, no. 2 (September 1990): 167–72. http://dx.doi.org/10.1088/0253-6102/14/2/167.

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29

Figurny, Piotr, Arkadiusz Orl/owski, and Krzysztof Wódkiewicz. "Squeezed fluctuations of truncated photon operators." Physical Review A 47, no. 6 (June 1, 1993): 5151–57. http://dx.doi.org/10.1103/physreva.47.5151.

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30

Vourdas, A., and R. M. Weiner. "Photon-counting distribution in squeezed states." Physical Review A 36, no. 12 (December 1, 1987): 5866–69. http://dx.doi.org/10.1103/physreva.36.5866.

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31

Dey, Sanjib, and Sarika S. Nair. "Generalized photon-subtracted squeezed vacuum states." Journal of Physics A: Mathematical and Theoretical 53, no. 38 (August 26, 2020): 385305. http://dx.doi.org/10.1088/1751-8121/aba8ce.

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32

Wang, Zhen, Kai Jiang, Heng-Mei Li, and Hong-Chun Yuan. "Quantifying decoherence effect of photon-modulated squeezed vacuum states." Modern Physics Letters B 28, no. 28 (November 10, 2014): 1450219. http://dx.doi.org/10.1142/s0217984914502194.

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In this paper, we theoretically put forward the photon-modulated squeezed vacuum states (PMSVS) by applying photon-modulated operator on squeezed vacuum states. Starting from the normally ordered density operator as well as the technique of integration within an ordered product of operators, the normalization constant is obtained, which is related to the Legendre polynomials. In addition, by deriving the normally ordered density operator and Wigner function of PMSVS in laser channel and thermal channel, the decoherence process is discussed, respectively. The investigations may provide experimentalists with some better references in quantum control and building optimal strategies to suppress decoherence.

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33

Dat, Tran Quang, Truong Minh Thang, and Truong Minh Duc. "Non-classical properties and generation schemes of superposition of multiple-photon-added two-mode squeezed vacuum state." Hue University Journal of Science: Natural Science 130, no. 1B (June 29, 2021): 5–12. http://dx.doi.org/10.26459/hueunijns.v130i1b.6028.

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In this paper, we study some non-classical properties and propose the generation schemes of the superposition of multiple-photon-added two-mode squeezed vacuum state (SMPA-TMSVS). Based on the Wigner function, we clarify that this state is a non-Gaussian state, while the original two-mode squeezed vacuum state (TMSVS) is a Gaussian state. Besides, the SMPA-TMSVS is sum squeezing, as well as difference squeezing. In particular, the manifestation of the sum squeezing and the difference squeezing in the SMPA-TMSVS becomes more pronounced when increasing parameters r and e. In addition, by exploiting the schemes of photon-added superposition in the usual order, we give some schemes that the SMPA-TMSVS can be generated with the higher-order photon-added superposition by using some optical devices.

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34

Anh, Nguyen Pham Quynh. "Generation of plasmon-polaritons in epsilon-near-zero polaritonic metamaterial." Hue University Journal of Science: Natural Science 130, no. 1B (June 29, 2021): 35–41. http://dx.doi.org/10.26459/hueunijns.v130i1b.6180.

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In this paper, we study some non-classical properties and propose the generation schemes of the superposition of multiple-photon-added two-mode squeezed vacuum state (SMPA-TMSVS). Based on the Wigner function, we clarify that this state is a non-Gaussian state, while the original two-mode squeezed vacuum state (TMSVS) is a Gaussian state. Besides, the SMPA-TMSVS is sum squeezing, as well as difference squeezing. In particular, the manifestation of the sum squeezing and the difference squeezing in the SMPA-TMSVS becomes more pronounced when increasing parameters r and e. In addition, by exploiting the schemes of photon-added superposition in the usual order, we give some schemes that the SMPA-TMSVS can be generated with the higher-order photon-added superposition by using some optical devices.

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35

FAN, HONG-YI, LI-YUN HU, and XUE-XIANG XU. "LEGENDRE POLYNOMIALS AS THE NORMALIZATION OF PHOTON-SUBTRACTED SQUEEZED STATES." Modern Physics Letters A 24, no. 20 (June 28, 2009): 1597–603. http://dx.doi.org/10.1142/s021773230902996x.

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By converting the photon-subtracted squeezed state (PSSS) to a squeezed Hermite-polynomial excitation state we find that the normalization factor of PSSS is an m-order Legendre polynomial of the squeezing parameter, where m is the number of subtracted photons. Some new relations about the Legendre polynomials are obtained by this analysis. We also show that the PSSS can also be treated as a Hermite-polynomial excitation on squeezed vacuum state.

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36

de Almeida, Norton G., and Célia M. A. Dantas. "On the Squeezing and Displacement of nth-Order." Modern Physics Letters B 11, no. 09n10 (April 30, 1997): 399–406. http://dx.doi.org/10.1142/s0217984997000499.

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The norder expressions for the squeezed and coherent states are derived as a natural generalization of the usual squeezed coherent and coherent states. The photon number distribution of n order of squeezed coherent states that are eigenstates of the operators [Formula: see text] is derived. The n order coherent state is a particular case of the states that we are now deriving. Some mathematical and quantum statistical properties of these states are discussed.

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37

Jin-Hua Chai and Guang-Can Guo. "Evolution of phonon noise and quantum nondemolition measurements in the model for detection of hypersonic phonons by squeezed light." Physica B: Condensed Matter 240, no. 3 (September 1997): 220–25. http://dx.doi.org/10.1016/s0921-4526(97)00421-3.

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38

XU, XUE-XIANG, LI-YUN HU, and HONG-YI FAN. "ON THE NORMALIZED TWO-MODE PHOTON-SUBTRACTED SQUEEZED VACUUM STATE." Modern Physics Letters A 24, no. 32 (October 20, 2009): 2623–30. http://dx.doi.org/10.1142/s0217732309031168.

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We show that the two-mode photon-subtracted squeezed state (TPSSS) is a squeezed two-variable Hermite polynomial excitation state, and we can therefore determine its normalization as a Jacobi polynomial of the squeezing parameter. Some new relations about the Jacobi polynomials are obtained by this analysis. We also show that the TPSSS can be treated as a two-variable Hermite-polynomial excitation on squeezed vacuum state. The technique of integration within an ordered product of operators brings convenience in our derivation.

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39

Stavek, Jiri. "Squeezing of the Super-Elastic Double-Helix Photon in the Gravitational Field (Hidden in Very-Well Known Old Formulae). Pound - Rebka - Snider Effect Studied by the Advanced LIGO Instrument, Pioneer Anomaly and CMB (Cosmic Microwave Background) (23.11.201." Applied Physics Research 12, no. 1 (December 2, 2019): 8. http://dx.doi.org/10.5539/apr.v12n1p8.

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In our approach we have combined knowledge of Old Masters (working in this field before the year 1905), New Masters (working in this field after the year 1905) and Dissidents under the guidance of Louis de Broglie and David Bohm. Based on the great experimental work of Robert Pound, Glen A. Rebka and J.L. Snider we have proposed a squeezing of the super-elastic double-helix photon in the gravitational field. We have newly defined the squeeze rate of that photon particle on the helical path. We have inserted this squeeze rate into the very-well old formulae of Newton, Soldner, Gerber and Einstein and might glimpse traces of the quantum gravity. The squeeze rate of photons can be studied in details using the Great instrument - the Advanced LIGO - located on the surface of the Earth (USA, Italy, Japan). The observed strains on the level 5*10-19 should be caused by the gravitational field of our Earth. The observed strains on the level 5*10-22 should be caused by the gravitational fields of the Moon and the Sun. We estimate that the experimental value of the gravitational constant G studied by the LIGO instrument can achieve the accuracy to the level of ppb (parts per billion) after the removal of those strains from the measured signal and the removal of the gravitational influences of the Earth, the Moon, the Sun, Venus and Jupiter. To study the squeeze effect on a bigger scale we propose to analyze the Pioneer anomaly where Pioneer´s photons have been flying around the planets in our Solar system causing the squeeze effect - the anomalous blueshift. Similarly, we can study cosmic microwave photons flying around the objects in our Solar system that might create “the axis of evil” - temperature fluctuations in the CMB map (Wien displacement law). Can we prepare in our Solar system “tired” light by frequent blueshift - redshift transitions? Can it be that Nature cleverly inserted the squeeze rate into our very-well known Old Formulae? We want to pass this concept into the hands of Readers of this Journal better educated in the Mathematics and Physics.

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40

ABDALLA, M. SEBAWE, and A. S. F. OBADA. "QUANTUM STATISTICS OF A NEW TWO MODE SQUEEZE OPERATOR MODEL." International Journal of Modern Physics B 14, no. 10 (April 20, 2000): 1105–28. http://dx.doi.org/10.1142/s0217979200001059.

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In this paper we introduce a new squeeze operator which is a combination of the two single photon squeezing operator and two mode correlated operator. We construct the general coherent-state wave function, and study the effects of this operator on the photon number sum and difference. We find in absence of the squeezing parameters λ1 and λ2 both the sum and the difference are conserved by the two mode correlated operator. The squeezing phenomenon is discussed, and the minimum uncertainty state is found for small value of the squeezing parameter λ. Besides the Glauber second order correlation function, the statistical investigations are carried out for the quasi-probability distribution functions (P-representation, Wigner function and Q-function). The discussion related to the phase space distribution function is given, and the matrix elements of the density operator are calculated. The photocount distribution is also considered.

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41

Saito, Hiroki, and Masahito Ueda. "Squeezed few-photon states of the field generated from squeezed atoms." Physical Review A 59, no. 5 (May 1, 1999): 3959–74. http://dx.doi.org/10.1103/physreva.59.3959.

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42

Kim, M. S., F. A. M. de Oliveira, and P. L. Knight. "Photon number distributions for squeezed number states and squeezed thermal states." Optics Communications 72, no. 1-2 (July 1989): 99–103. http://dx.doi.org/10.1016/0030-4018(89)90263-0.

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Lu, Hong. "Photon Statistics of Photon-Added and Photon-Subtracted Two-Mode Squeezed Vacuum State." Chinese Physics Letters 16, no. 9 (September 1, 1999): 646–47. http://dx.doi.org/10.1088/0256-307x/16/9/009.

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Ayehu, D. "Two-Mode Squeezed and Entangled Light Production in Parametric Oscillations." Ukrainian Journal of Physics 66, no. 8 (September 8, 2021): 674. http://dx.doi.org/10.15407/ujpe66.8.674.

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We investigate the statistical and quadrature squeezings, as well as the entanglement properties, of a two-mode light generated by non-degenerate parametric oscillations coupled to a two-mode squeezed vacuum reservoir, by employing the solutions of the quantum Langevin equations. It is found that the two-mode light shows the two-mode squeezing and entanglement for all values of the time. Moreover, it is observed that the squeezed vacuum reservoir and the growing amplitude of the pump mode enhance the degrees of two-mode squeezing and entanglement. We have also shown that the amounts of squeezing and entanglement are significant in a region, where the mean photon number is higher, and the photon number correlation is lower.

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Mosisa, Ebisa. "Enhanced Squeezing and Entanglement in Nondegenerate Three-Level Laser Coupled to Squeezed Vacuum Reservoir." Advances in Mathematical Physics 2021 (April 21, 2021): 1–12. http://dx.doi.org/10.1155/2021/6625690.

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Squeezing and entanglement of a two-mode cascade laser, produced by a three-level atom which is initially prepared by a coherent superposition of the top and bottom levels then injected into a cavity coupled to a two-mode squeezed vacuum reservoir is discussed. I obtain stochastic differential equations associated with the normal ordering using the pertinent master equation. Making use of the solutions of the resulting differential equations, we determined the mean photon number for the cavity mode and their correlation, EPR variables, smallest eigenvalue of the symplectic matrix, intensity difference fluctuation, and photon number correlation. It is found that the squeezed vacuum reservoir increases the degree of the statistical and nonclassical features of light produced by the system. Furthermore, using the criteria developed by logarithm negativity and Hillery-Zubairy criteria, the quantum entanglement of the cavity mode is quantified. It is found that the degree of the entanglement for the system under consideration increases with the squeezing parameter of the squeezed vacuum reservoir.

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LUO, FANG-FANG, WEN-XING YANG, JIAO-MEI LI, HUA-LING SHU, HUA GUAN, and KE-LIN GAO. "MULTI-COMPONENT SQUEEZED COHERENT STATE FOR N TRAPPED IONS IN ANY POSITION OF A STANDING WAVE." Modern Physics Letters B 19, no. 15 (June 30, 2005): 729–35. http://dx.doi.org/10.1142/s0217984905008724.

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We proposed a scheme to generate a multi-component squeezed coherent states with arbitrary coefficients on a line in phase space for multiple trapped ions radiated by a single standing-wave laser whose carrier frequency is tuned to the ions transition. In the scheme each ion does not need to be exactly positioned at the node of the standing wave. Furthermore, our scheme may allow the generation of a multi-component squeezed coherent states with large mean phonon number in a fast way by choosing a suitable laser intensity, which is important in view of de-coherence processes.

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Hoai, Nguyen Thi Xuan, and Truong Minh Duc. "Nonclassical properties and teleportation in the two-mode photon-added displaced squeezed states." International Journal of Modern Physics B 30, no. 07 (March 18, 2016): 1650032. http://dx.doi.org/10.1142/s0217979216500326.

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In this paper, we study the nonclassical properties and find out the effect of photon addition on these properties as well as the process of teleportation in the two-mode photon-added displaced squeezed (TMPADS) states. We derive the analytic expressions of the Wigner function, the photon number distribution and the intermode photon antibunching for these states. We show that photon addition operation not only makes the Wigner function become negative but also leads to increase the degree of antibunching. The peak of the photon number distribution becomes flatter and shifts to the greater number of photons by adding photons to both modes simultaneously. Furthermore, it is proved that the degree of intermodal entanglement becomes bigger and bigger through increasing the number of photons added to both modes. As expected, when using these states as an entanglement resource to teleport a state, the average fidelity of teleportation process is also improved by increasing the number of added photons.

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Zhang, Shuang-Xi, Hong-Chun Yuan, and Hong-Yi Fan. "Higher order properties and Bell inequality violation for the three-mode enhanced squeezed state." Canadian Journal of Physics 88, no. 5 (May 2010): 349–56. http://dx.doi.org/10.1139/p10-020.

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By extending the usual two-mode squeezing operator S2 = exp[iλ(Q1P2 + Q2P1)] to the three-mode squeezing operator S3 = exp{iλ[Q1(P2 + P3) + Q2(P1 + P3) + Q3(P1 + P2)]}, we obtain the corresponding three-mode squeezed coherent state. The higher order properties of this state, such as higher order squeezing and higher order sub-Possonian photon statistics, are investigated. It is found that the new squeezed state not only can be squeezed to all even orders but also exhibits squeezing enhancement compared with the usual cases. In addition, we examine the violation of the Bell inequality for the three-mode squeezed states by using the formalism of Wigner representation.

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AL-KADER, G. M. ABD. "GENERALIZED SUPERPOSITIONS OF SQUEEZED COHERENT STATES." Modern Physics Letters B 15, no. 27 (November 20, 2001): 1265–70. http://dx.doi.org/10.1142/s0217984901003147.

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The superpositions of a pair of squeezed coherent states (SCS) with different squeezing parameters are defined. The characteristic function (CF) for the generalized superpositions of SCSs is given. Photon number distribution for these states is considered. The Q-function for the generalized superposition of SCSs is investigated.

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Hu, Xuedong, and Franco Nori. "Phonon Squeezed States Generated by Second-Order Raman Scattering." Physical Review Letters 79, no. 23 (December 8, 1997): 4605–8. http://dx.doi.org/10.1103/physrevlett.79.4605.

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