Two-beam light with simultaneous anticorrelations in photon-number fluctuations and sub-Poissonian statistics

We put forward the photon-added squeezing-enhanced thermal states (PASETS) theoretically by adding photon to the squeezed enhancing thermal states (SETS) repeatedly. Based on the normally ordered density operator of PASETS, we investigate the nonclassical behavior of the PASETS by evaluating, both analytically and numerically, Mandel's Q-parameter, photon-number distribution (PND), and Wigner function (WF). It is found that smaller squeezing parameter r and thermal photon number nc can lead to more chance of the appearance of sub-Poissonian statistics. And it is shown that the PND of PASETS exhibit more remarkable oscillations than that of SETS in stronger squeezing case. The WF exhibit partial negativity in phase space and the squeezing parameter r can result in both squeezing and rotating effect. By investigating the fidelity between PASETS and SETS shows that the fidelity tender to steady values in the high value of squeezing parameter or thermal photon number. In addition, the decoherence effect on the PASETS is examined by the time-evolution of the analytical WF in thermal channel. The results show that the PASETS shall lose nonclassicality and non-Gaussianity and reduce to classical states with Gaussian distribution after sufficient time interaction with the thermal noise. And larger photon-added number or thermal photon number shall render shorter decoherence time.

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DYNAMICS OF STATES IN THE NONLINEAR INTERACTION REGIME BETWEEN A THREE-LEVEL ATOM AND GENERALIZED COHERENT STATES AND THEIR NON-CLASSICAL FEATURES

International Journal of Modern Physics B ◽

10.1142/s0217979212500270 ◽

2012 ◽

Vol 26 (05) ◽

pp. 1250027 ◽

Cited By ~ 24

Author(s):

M. K. TAVASSOLY ◽

F. YADOLLAHI

Keyword(s):

Coherent State ◽

Coherent States ◽

Exact Analytical Solution ◽

Photon Number ◽

Single Mode ◽

Level Atom ◽

Special Cases ◽

Interaction Regime ◽

Atomic Population Inversion ◽

Poissonian Statistics

The present study investigates the interaction of an equidistant three-level atom and a single-mode cavity field that has been initially prepared in a generalized coherent state. The atom–field interaction is considered to be, in general, intensity-dependent. We suppose that the nonlinearity of the initial generalized coherent state of the field and the intensity-dependent coupling between atom and field are distinctly chosen. Interestingly, an exact analytical solution for the time evolution of the state of atom–field system can be found in this general regime in terms of the nonlinearity functions. Finally, the presented formalism has been applied to a few known physical systems such as Gilmore–Perelomov and Barut–Girardello coherent states of SU(1,1) group, as well as a few special cases of interest. Mean photon number and atomic population inversion will be calculated, in addition to investigating particular non-classicality features such as revivals, sub-Poissonian statistics and quadratures squeezing of the obtained states of the entire system. Also, our results will be compared with some of the earlier works in this particular subject.

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Generating new nonclassical state by repeatedly operating number operator on coherent state

Modern Physics Letters B ◽

10.1142/s0217984921501670 ◽

2021 ◽

pp. 2150167

Author(s):

Gang Ren ◽

Jian-Ming Du ◽

Wen-Hai Zhang

Keyword(s):

Quantum Optics ◽

Coherent State ◽

Quantum State ◽

Quantum Communication ◽

Photon Number ◽

Number Operator ◽

Squeezing Effect ◽

Nonclassical State ◽

Poissonian Statistics ◽

Photon Number Distribution

In this paper, using the principle of quantum state superposition, we report a nonclassical quantum state which is constructed by repeatedly operating the number operator on the coherent state. Nonclassical effects of this state are discussed by photon-number distribution, sub-Poissonian statistics, anti-bunching and negativity of Wigner function and squeezing effect. Our work provides an important nonclassical resource, which may be used in quantum communication and quantum optics.

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NONCLASSICAL PROPERTIES AND HOLE BURNING IN THE REAL AND IMAGINARY BINOMIAL STATES

International Journal of Modern Physics B ◽

10.1142/s0217979201005696 ◽

2001 ◽

Vol 15 (15) ◽

pp. 2115-2123 ◽

Cited By ~ 1

Author(s):

JING LIAO ◽

XIAOGUANG WANG ◽

LING-AN WU ◽

SHAO-HUA PAN

Keyword(s):

Quantum Interference ◽

Photon Number ◽

Hole Burning ◽

The Real ◽

Ladder Operator ◽

Nonclassical Properties ◽

Number Distribution ◽

Poissonian Statistics ◽

Photon Number Distribution

We study the nonclassical properties of the real and imaginary binomial states formed by a superposition of the binomial states of Stoler et al. Their sub-Poissonian statistics and squeezing properties are studied in detail. These states have holes in the photon-number distribution, due to quantum interference between the two conjugate components. The corresponding ladder operator formalisms of these states are given.

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Probing higher order correlations of the photon field with photon number resolving avalanche photodiodes

Optics Express ◽

10.1364/oe.19.013268 ◽

2011 ◽

Vol 19 (14) ◽

pp. 13268 ◽

Cited By ~ 16

Author(s):

J. F. Dynes ◽

Z. L. Yuan ◽

A. W. Sharpe ◽

O. Thomas ◽

A. J. Shields

Keyword(s):

Avalanche Photodiodes ◽

Photon Number ◽

Higher Order ◽

Photon Field

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Procedure via cross-Kerr nonlinearities for encoding single logical qubit information onto four-photon decoherence-free states

Scientific Reports ◽

10.1038/s41598-021-89809-w ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Jino Heo ◽

Seong-Gon Choi

Keyword(s):

Quantum Information ◽

Quantum Information Processing ◽

Photon Number ◽

Optical Devices ◽

Quantum Bus ◽

Reliable Procedure ◽

Optical Gates ◽

Photon Loss ◽

Decoherence Effect ◽

Logical Qubit

AbstractWe propose a photonic procedure using cross-Kerr nonlinearities (XKNLs) to encode single logical qubit information onto four-photon decoherence-free states. In quantum information processing, a decoherence-free subspace can secure quantum information against collective decoherence. Therefore, we design a procedure employing nonlinear optical gates, which are composed of XKNLs, quantum bus beams, and photon-number-resolving measurements with linear optical devices, to conserve quantum information by encoding quantum information onto four-photon decoherence-free states (single logical qubit information). Based on our analysis in quantifying the affection (photon loss and dephasing) of the decoherence effect, we demonstrate the experimental condition to acquire the reliable procedure of single logical qubit information having the robustness against the decoherence effect.

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