Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Nonclassical state from two pseudoclassical states

Wolfgang P. Schleich, M. Pernigo, Fam Le Kien

Published Aug 1, 1991• 319 citations
Publisher

Abstract

The quantum-mechanical superposition of two coherent states of identical mean photon number but different phases yields a state that can exhibit sub-Poissonian and oscillatory photon statistics, as well as squeezing.
DOI
10.1103/physreva.44.2172

Related papers

Simultaneous higher-order Hong–Mandel's squeezing and higher-order sub-Poissonian photon statistics in superposed coherent states

Pankaj Kumar, Rakesh Kumar, Hari Prakash

Optik•Jan 25, 2016•3 citations

Nonclassical Properties of Superposition of Two Coherent States Shifted in Phase by 3π/2

Muhammad Ashfaq Ahmad, Ran Zeng, Shutian Liu

We consider the quantum superposition of two coherent states shifted in phase by 3π/2, |α⟩ and |− i α⟩, as well as special states that are characterized solely with respect to amplitude α. According to analysis of nonclassical properties such as oscillatory and sub-Poissonian distribution of photon numbers, photon antibunching, quadrature squeezing, and negativity of Wigner function, it is concluded that the considered superposition state is a nonclassical state. Also, the special state is found to exhibit even stronger nonclassical features when relative phase ϕ of the superposition is equal to the average photon number |α| 2 .

Chinese Physics Letters•Sep 1, 2006•11 citations

Amplification of multicomponent superpositions of coherent states of light with quantum amplifiers

K. S. Lee, M. S. Kim, V. Bŭzek

We analyze statistical properties of multicomponent superpositions of coherent states of light amplified by quantum-mechanical amplifiers with reduced quantum fluctuations. We show that sub-Poissonian (i.e., amplitude-squeezed) amplifiers can transform any initial superposition of coherent states of light into a nonclassical state with a high degree of sub-Poissonian photon statistics. Simultaneously the shape of the photon-number distribution of the initial state of light is preserved but shifted toward higher photon numbers. On the other hand, we show that phase-sensitive (i.e., quadrature-squeezed) amplifiers may preserve the initial reduction of quadrature fluctuations (quadrature squeezing). We show that by using amplifiers with reduced quantum noise one can, in principle, control the influence of the noise transferred from the amplifier to the system.

Journal of the Optical Society of America B•Jun 1, 1994•10 citations

The possibility of converting coherent light to a squeezed state and to a state with sub-Poissonian photon statistics

Valentine I. Zakharov, Ю. Н. Пономарев, Vladimir G. Tyuterev

IzSSR•Jun 1, 1988•0 citations

Nonclassicality of New Class of States Produced by Superposition of Two Nonlinear Squeezed States with Respective Phase φ

S.AL. Modares Vamegh, Mohammad Kazem Tavassoly

Reports on Mathematical Physics•Apr 1, 2015•3 citations

Continuous measurement of photon number for superpositions of coherent states

Masashi Ban

The investigation of photon statistics and quadrature squeezing in superpositions of two coherent states under the influence of a continuous measurement of photon number shows that the photon statistics of the cavity mode oscillates between sub-Poissonian and super-Poissonian distributions and that the quadrature fluctuation oscillates between squeezing and nonsqueezing at each time when one photon of a cavity mode is registered by a counter. These oscillatory behaviors are caused by the influence of the continuous measurement of photon number and the quantum interference between the two coherent states in the superposition.

Physical Review A•Feb 1, 1995•10 citations
We consider the quantum superposition of two coherent states shifted in phase by 3π/2, |α⟩ and |− i α⟩, as well as special states that are characterized solely with respect to amplitude α. According to analysis of nonclassical properties such as oscillatory and sub-Poissonian distribution of photon numbers, photon antibunching, quadrature squeezing, and negativity of Wigner function, it is concluded that the considered superposition state is a nonclassical state. Also, the special state is found to exhibit even stronger nonclassical features when relative phase ϕ of the superposition is equal to the average photon number |α| 2 .
We analyze statistical properties of multicomponent superpositions of coherent states of light amplified by quantum-mechanical amplifiers with reduced quantum fluctuations. We show that sub-Poissonian (i.e., amplitude-squeezed) amplifiers can transform any initial superposition of coherent states of light into a nonclassical state with a high degree of sub-Poissonian photon statistics. Simultaneously the shape of the photon-number distribution of the initial state of light is preserved but shifted toward higher photon numbers. On the other hand, we show that phase-sensitive (i.e., quadrature-squeezed) amplifiers may preserve the initial reduction of quadrature fluctuations (quadrature squeezing). We show that by using amplifiers with reduced quantum noise one can, in principle, control the influence of the noise transferred from the amplifier to the system.
The investigation of photon statistics and quadrature squeezing in superpositions of two coherent states under the influence of a continuous measurement of photon number shows that the photon statistics of the cavity mode oscillates between sub-Poissonian and super-Poissonian distributions and that the quadrature fluctuation oscillates between squeezing and nonsqueezing at each time when one photon of a cavity mode is registered by a counter. These oscillatory behaviors are caused by the influence of the continuous measurement of photon number and the quantum interference between the two coherent states in the superposition.