scholarly journals Higher order properties and Bell inequality violation for the three-mode enhanced squeezed state

2010 ◽  
Vol 88 (5) ◽  
pp. 349-356
Author(s):  
Shuang-Xi Zhang ◽  
Hong-Chun Yuan ◽  
Hong-Yi Fan
Keyword(s):  
Coherent State ◽  
Bell Inequality ◽  
Higher Order ◽  
Photon Statistics ◽  
Squeezed States ◽  
Squeezed State ◽  
Squeezed Coherent State ◽  
Wigner Representation ◽  
Squeezing Operator

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.

scholarly journals SQUEEZED VACUA AND THE QUANTUM STATISTICS OF COSMOLOGICAL PARTICLE CREATION

1994 ◽  
Vol 09 (07) ◽  
pp. 991-1007 ◽  
Author(s):  
B. L. HU ◽  
G. KANG ◽  
A. MATACZ
Keyword(s):  
Coherent State ◽  
Particle Number ◽  
Particle Creation ◽  
Space Time ◽  
Quantum Statistics ◽  
Squeezed States ◽  
Quantum Fields ◽  
Squeezed State ◽  
Initial State ◽  
Systematic Description

We use the language of squeezed states to give a systematic description of two issues in cosmological particle creation: (a) Dependence of particle creation on the initial state specified; we consider in particular the number state, the coherent state and the squeezed state; (b) the relation of spontaneous and stimulated particle creation and their dependence on the initial state. We also present results for the fluctuations in particle number in anticipation of its relevance to defining noise in quantum fields and the vacuum susceptibility of space–time.

Effect of the oscillations in the photon distribution of a squeezed field on the fluorescence spectrum of the Jaynes–Cummings model

2020 ◽  
pp. 2050426
Author(s):  
L. Villanueva-Vergara ◽  
F. Soto-Eguibar ◽  
H. M. Moya-Cessa
Keyword(s):  
Electromagnetic Field ◽  
Coherent State ◽  
Fluorescence Spectrum ◽  
Squeezed States ◽  
Level System ◽  
Photon Distribution ◽  
Atomic Inversion ◽  
Squeezed Coherent State ◽  
Physical Spectrum

Following the scheme proposed by Eberly and Wodkiewicz for the physical spectrum, we calculate the fluorescence spectrum of the Jaynes–Cummings model when the two-level system interacts with an electromagnetic field that initially is in a squeezed coherent state. We show the appearing of “ringing lines” in the fluorescence spectrum that are echoes of the oscillations in the photon distribution of the compressed field. These ringing lines may be a similar effect as the ringing revivals of the atomic inversion that are a signature of squeezed states.

scholarly journals A comparison between higher-order nonclassicalities of SUP-engineered coherent and thermal states

2021 ◽  
Author(s):  
Deepak Deepak ◽  
Arpita Chatterjee
Keyword(s):  
Coherent State ◽  
Thermal State ◽  
Higher Order ◽  
Quantum States ◽  
Photon Statistics ◽  
Nonclassical Properties ◽  
Quantum Detector ◽  
Exact Calculations ◽  
First Time ◽  
Thermal States

We consider an experimentally obtainable SUP operator, defined by using a generalized superposition of products of field annihilation (a) and creation (a<sup>†</sup>) operators of the type, A = saa<sup>†</sup> + ta<sup>†</sup>a with s<sup>2</sup> + t<sup>2</sup>=1. We apply this SUP operator on coherent and thermal quantum states, the states thus produced are referred as SUP-operated coherent state (SOCS) and SUP-operated thermal state (SOTS), respectively. In the present work, we report a comparative study between the higher-order nonclassical properties of SOCS and SOTS. The comparison is performed by using a set of nonclassicality witnesses (e.g., higher-order antiubunching, higher-order sub-Poissonian photon statistics, higher-order squeezing, Agarwal-Tara parameter, Klyshko's condition). The existence of higher-order nonclassicalities in SOCS and SOTS have been investigated for the first time. In view of possible experimental verification of the proposed scheme, we present exact calculations to reveal the effect of non-unit quantum efficiency of quantum detector on higher-order nonclassicalities.

scholarly journals Scattering-lens based quantum imaging beyond shot noise

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Dong Li ◽  
Yao Yao
Keyword(s):  
Coherent State ◽  
Shot Noise ◽  
Quantum Noise ◽  
Signal To Noise Ratio ◽  
Optical Diffraction ◽  
Squeezed States ◽  
Squeezed State ◽  
Signal To Noise ◽  
Alternative Scheme ◽  
Noise Ratio

AbstractThe scheme of optical imaging using scattering lens can provide a resolution beyond the classical optical diffraction limit with a coherent-state input. Nevertheless, due to the shot noise of the coherent state, the corresponding signal-to-noise ratio and resolution are both still shot-noise-limited. In order to circumvent this problem, we theoretically propose an alternative scheme where the squeezed state (with a sub-shot noise) is considered as input and the quantum noise is then suppressed below the shot-noise level. Consequently, when comparing with the previous imaging scheme (using combination of coherent state and scattering lens), our proposal is able to achieve an enhanced signal-to-noise ratio for a given scattering lens. Meanwhile, it is demonstrated that the resolution is also improved. We believe that this method may afford a new way of using squeezed states and enable a higher performance than that of using coherent state and scattering lens.

SQUEEZING AND PHOTON STATISTICS IN FIVE-WAVE MIXING PROCESS

2009 ◽  
Vol 23 (22) ◽  
pp. 2681-2693 ◽  
Author(s):  
SUNIL RANI ◽  
JAWAHAR LAL ◽  
NAFA SINGH
Keyword(s):  
Fundamental Mode ◽  
Coupling Parameter ◽  
Photon Number ◽  
Field Amplitude ◽  
Photon Statistics ◽  
Squeezed States ◽  
Wave Mixing ◽  
Quantum Field ◽  
Mixing Process ◽  
Signal Photon

We investigate theoretically the generation of squeezed states in spontaneous and stimulated five-wave mixing process. It has been found that squeezing occurs in field amplitude, amplitude-squared, amplitude-cubed and fourth-order amplitude states of the fundamental mode in the process. It is found to be dependent on coupling parameter g and phase values of the field amplitude of the fundamental mode. The process involves the absorption of two pump photons each having frequency ω1, emission of two probe photons of same frequency ω2 and a signal photon of frequency ω3. It is shown that squeezing is greater in a stimulated interaction than the corresponding squeezing in the spontaneous process. It is found that the degree of squeezing depends on the photon number in the first and higher orders. We study the statistical behaviour of quantum field in the fundamental mode. It has been found that the field shows sub-Poissonian behavior in this mode.

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