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

Journal of Optics B Quantum and Semiclassical Optics

Even and odd trio coherent states: antibunching and violation of Cauchy$ndash$Schwarz inequalities

Nguyen Ba An, Truong Minh Duc

Published Aug 5, 2002• 10 citations
Publisher

Abstract

Even and odd trio coherent states are introduced by superposing two trio coherent states. Their antibunching and Cauchy–Schwarz inequalities are studied in detail. It is shown that, while odd trio coherent states are always antibunched and violate the Cauchy–Schwarz inequalities, even ones may or may not do so, depending on the parameters.

DOI
10.1088/1464-4266/4/5/310

Related papers

Nonclassical Properties of the Nonlinear Trio-coherent States

Sun K. Hong

Nonlinear trio-coherent states are introduced and the properties of the completeness relation,number distribution and Cauchy-Schwarz inequalities are studied.It is shown that these states are super-completeness and possess sub-Poissonian number distribution and violation of Cauchy-Schwarz inequalities.

Acta Sinica Quantum Optica•Jan 1, 2008•0 citations

Trio coherent states

Nguyen Ba An, Truong Minh Duc

Novel states called trio coherent states are introduced and studied. It is shown that these states possess inherent nonclassical properties such as sub-Poissonian number distributions and violation of Cauchy-Schwarz inequalities. Concerning squeezing, though the usual multimode squeezing is absent, a new type of higher-order multimode squeezing may occur in a trio coherent state. Finally, an experimental scheme is proposed to generate the introduced trio coherent state.

Journal of Optics B Quantum and Semiclassical Optics•Jan 18, 2002•23 citations

K-dimensional trio coherent states

Hyo Seok Yi, Nguyen Ba An, Jaewan Kim

We introduce a novel class of higher-order, three-mode states called K-dimensional trio coherent states. We study their mathematical properties and prove that they form a complete set in a truncated Fock space. We also study their physical content by explicitly showing that they exhibit nonclassical features such as oscillatory number distribution, sub-poissonian statistics, Cauchy-Schwarz inequality violation and phase-space quantum interferences. Finally, we propose an experimental scheme to realize the state with K=2 in the quantized vibronic motion of a trapped ion.

arXiv:quant-ph/0409103•Journal of Physics A Mathematical and General•Oct 29, 2004•9 citations

Multimode higher-order antibunching and squeezing in trio coherent states

Nguyen Ba An

We study the multimode higher-order nonclassical effects of novel trio coherent states. We show that such states exhibit antibunching to all orders in the single-mode case. However, the two-mode higher-order antibunching may or may not exist depending on the parameters. We also show that in such states squeezing is fully absent in both single-mode and two-mode situations. As for the three-mode case, the so-called sum-squeezing is impossible but another kind of squeezing may arise for the orders K that are a multiple of three. The degree of the lowest allowable K = 3 order squeezing can reach a remarkable amount of 18 % . Of interest is the following property: when the order grows, the degree of antibunching increases but that of squeezing decreases.

Journal of Optics B Quantum and Semiclassical Optics•May 22, 2002•55 citations

Quantum Properties of Two-Mode Squeezed Even and Odd Coherent States

Jing Zhang, Wei Wu, Meng Shao-ying

Two new types of quantum states are constructed by applying the operator s (ξ) = exp (ξ* ab −ξ a † b † ) on the two-mode even and odd coherent states. The mathematical and quantum statistical properties of such states are investigated. Various nonclassical features of these states, such as squeezing properties, the inter-mode photon bunching, and the violation of Cauchy–Schwarz inequality, are discussed. The Wigner function in these states are studied in detail.

Communications in Theoretical Physics•Feb 1, 2007•4 citations

Antibunching Properties of Superposed Coherent Squeezed States

Eric Seglem, Reeta Vyas

Antibunching properties of states formed from superpositions of squeezed coherent states are studied. The even squeezed coherent cat states mostly show bunching, while the odd cat states show antibunching in a large parameter range.

Frontiers in Optics•Jan 1, 2025•0 citations
Even and odd trio coherent states: antibunching and violation of CauchyndashndashndashSchwarz inequalities
Even and odd trio coherent states are introduced by superposing two trio coherent states. Their antibunching and Cauchy–Schwarz inequalities are studied in detail. It is shown that, while odd trio coherent states are always antibunched and violate the Cauchy–Schwarz inequalities, even ones may or may not do so, depending on the parameters.
We introduce a novel class of higher-order, three-mode states called K-dimensional trio coherent states. We study their mathematical properties and prove that they form a complete set in a truncated Fock space. We also study their physical content by explicitly showing that they exhibit nonclassical features such as oscillatory number distribution, sub-poissonian statistics, Cauchy-Schwarz inequality violation and phase-space quantum interferences. Finally, we propose an experimental scheme to realize the state with K=2 in the quantized vibronic motion of a trapped ion.
We study the multimode higher-order nonclassical effects of novel trio coherent states. We show that such states exhibit antibunching to all orders in the single-mode case. However, the two-mode higher-order antibunching may or may not exist depending on the parameters. We also show that in such states squeezing is fully absent in both single-mode and two-mode situations. As for the three-mode case, the so-called sum-squeezing is impossible but another kind of squeezing may arise for the orders K that are a multiple of three. The degree of the lowest allowable K = 3 order squeezing can reach a remarkable amount of 18 % . Of interest is the following property: when the order grows, the degree of antibunching increases but that of squeezing decreases.