Squeezed States and Sub-Poissonian Photon Statistics

1982 ◽  
Vol 49 (2) ◽  
pp. 136-138 ◽  
Author(s):  
L. Mandel
Keyword(s):  
Photon Statistics ◽  
Squeezed States

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.

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 Quadrature protection of squeezed states in a one-dimensional photonic topological insulator

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 526
Author(s):  
Joaquin Medina Dueñas ◽  
Gabriel O'Ryan Pérez ◽  
Carla Hermann-Avigliano ◽  
Luis E. F. Foa Torres
Keyword(s):  
Photon Statistics ◽  
Squeezed States ◽  
Trivial Case ◽  
Entanglement Generation ◽  
Squeezed Light ◽  
One Dimensional ◽  
Photonic Lattices ◽  
Quantum Properties ◽  
Localized State

What is the role of topology in the propagation of quantum light in photonic lattices? We address this question by studying the propagation of squeezed states in a topological one-dimensional waveguide array, benchmarking our results with those for a topologically trivial localized state, and studying their robustness against disorder. Specifically, we study photon statistics, one-mode and two-mode squeezing, and entanglement generation when the localized state is excited with squeezed light. These quantum properties inherit the shape of the localized state but, more interestingly, and unlike in the topologically trivial case, we find that propagation of squeezed light in a topologically protected state robustly preserves the phase of the squeezed quadrature as the system evolves. We show how this latter topological advantage can be harnessed for quantum information protocols.

scholarly journals Photon statistics of two-mode squeezed states and interference in four-dimensional phase space

1991 ◽  
Vol 43 (7) ◽  
pp. 3854-3861 ◽  
Author(s):  
Carlton M. Caves ◽  
Chang Zhu ◽  
G. J. Milburn ◽  
W. Schleich
Keyword(s):  
Phase Space ◽  
Photon Statistics ◽  
Squeezed States ◽  
Dimensional Phase Space

Nonclassical photon statistics of two-mode squeezed states

1990 ◽  
Vol 42 (3) ◽  
pp. 1608-1616 ◽  
Author(s):  
Ching Tsung Lee
Keyword(s):  
Photon Statistics ◽  
Squeezed States
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