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 properties of correlated two-mode Schrödinger cat states

Christopher C. Gerry, R. Grobe

Published Feb 1, 1995• 64 citations
Publisher

Abstract

We generalize the concept of Schr"odinger cat states to macroscopic superpositions of two pairs coherent states. We show that these states can have various nonclassical features such as the violation of the Cauchy-Schwarz inequality, sub-Poissonian photon-number statistics, and squeezing. We propose schemes to generate these states.
DOI
10.1103/physreva.51.1698

Related papers

The generalized pair coherent states and the corresponding entangled coherent states

Won Sang Chung

In this paper, we consider the generalized Schrödinger cat states. Using these states, we obtain the corresponding quasi-Bell states and the reduced density operator. For these quasi-Bell states, we investigate the non-classical effects such as oscillatory photon statistics, sub-Poissonian property and violation of the Cauchy–Schwarz inequality.

International Journal of Quantum Information•Dec 1, 2015•0 citations

Nonclassical properties of photon-added pair coherent states

H. Lu, Guo Guang-Can

The two-mode photon-added state defined by |?, q; m>?=?a+mb+m|?, q> up to a normalization constant is introduced, where |?, q> is a pair coherent state and m an integer. It is shown that the fields in such a state have remarkable quantum features such as sub-Poissonian statistics, violations of Cauch-Schwarz inequalities, correlations in the number fluctuations and squeezing. We examine the influence of photon-adding on the properties of pair coherent state, and propose a method of generating two-mode photon-added states in the context of cavity quantum electrodynamics.

Acta Physica Sinica (Overseas Edition)•Aug 1, 1999•23 citations

Nonclassical statistics of fields in pair coherent states

G. S. Agarwal

We examine the nonclassical properties of the pair coherent states defined as the simultaneous eigenstates of the operator that annihilates photons in pairs and of the operator that gives the relative occupation number in the two modes. We show that fields in such states have remarkable quantum features such as sub-Poissonian statistics correlations in the number fluctuations, squeezing, and violations of Cauchy–Schwarz inequalities. We show how such pair coherent states can be generated by the competition of different nonlinear processes in a two-photon medium. The quantam features occur not only in the transient domain but also survive in the steady state because of the balance between nonlinear processes.

Journal of the Optical Society of America B•Sep 1, 1988•345 citations

Nonclassicality of two-mode states of the quantized radiation field

Adrian Alexandrescu, Diethard H. Schiller

The second-order coherence (correlation) functions are used to investigate the classicality (nonclassicality) of quantum states, as defined by the existence (nonexistence) of a positive definite (Glauber-Sudarshan) P-representation. We study nonclassical behavior as revealed by sub-Poissonian statistics and/or violation of the classical Cauchy-Schwarz inequality. The two-mode states considered include Bell-like superpositions of Fock states, Schrödinger cat states and the ideal squeezed states.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Oct 1, 2003•0 citations

Nonclassical features of entangled coherent states

Muhammad Ashfaq Ahmad, Syed Hamad Bukhari, Salman Naeem Khan +3 more

Nonclassical features of entangled coherent states (two-mode superposition coherent states) based on two coherent states shifted in phase by π/2 are discussed. Analysis of Cauchy–Schwartz inequality, two-mode quadrature squeezing, oscillatory and sub-Poissonian photon statistics show that nonclassicality exists for these states. Furthermore, it is also observed that special states have remarkably strong nonclassical properties than the entangled coherent states based on famous even–odd coherent states.

Journal of Modern Optics•May 6, 2011•13 citations

Two-mode nonclassical state via superpositions of two-mode coherent states

Chin-lin Chai

The superposition states from several two-mode coherent states are studied. It is shown that under certain conditions the superposition states may exhibit nonclassical effects, such as two-mode squeezing, violation of the Cauchy-Schwartz inequality, and sub-Poissonian statistics.

Physical Review A•Dec 1, 1992•94 citations
The two-mode photon-added state defined by |?, q; m>?=?a+mb+m|?, q> up to a normalization constant is introduced, where |?, q> is a pair coherent state and m an integer. It is shown that the fields in such a state have remarkable quantum features such as sub-Poissonian statistics, violations of Cauch-Schwarz inequalities, correlations in the number fluctuations and squeezing. We examine the influence of photon-adding on the properties of pair coherent state, and propose a method of generating two-mode photon-added states in the context of cavity quantum electrodynamics.
We examine the nonclassical properties of the pair coherent states defined as the simultaneous eigenstates of the operator that annihilates photons in pairs and of the operator that gives the relative occupation number in the two modes. We show that fields in such states have remarkable quantum features such as sub-Poissonian statistics correlations in the number fluctuations, squeezing, and violations of Cauchy–Schwarz inequalities. We show how such pair coherent states can be generated by the competition of different nonlinear processes in a two-photon medium. The quantam features occur not only in the transient domain but also survive in the steady state because of the balance between nonlinear processes.
Nonclassical features of entangled coherent states (two-mode superposition coherent states) based on two coherent states shifted in phase by π/2 are discussed. Analysis of Cauchy–Schwartz inequality, two-mode quadrature squeezing, oscillatory and sub-Poissonian photon statistics show that nonclassicality exists for these states. Furthermore, it is also observed that special states have remarkably strong nonclassical properties than the entangled coherent states based on famous even–odd coherent states.