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

Optics Express

Victor Kozlov's reply

Victor Kozlov

Published Feb 11, 2002• 0 citations
Publisher

Abstract

We prove formal identity of the dispersed states and the two-photon coherent states. As the last fall in the class of squeezed states and are non-classical, so are the dispersed states. A state which exhibits squeezing and/or non-classicality should not be called coherent as suggested in the Comment.
DOI
10.1364/oe.10.000157

Related papers

Preferred values and dispersions of phase of any order for l-photon Kerr states

Vlasta Peřinová

It is well known that during the ℓth-subharmonic generation general ℓ-photon states evolve from an arbitrary state of the pump mode. For the second-subharmonic generation with an initial coherent state the assumption of pump nondepletion, the so called parametric approximation, is very useful for obtaining closed formulas. The resulting state then is an ordinary squeezed vacuum. The parametric approximation is ineffective for ℓ > 2 not only because closed formulas are not obtained, but also because it is proven that no quantum state is defined for nonzero higher-order squeezing [1]. This finding motivated a definition of the ℓ-photon coherent state [2],

17th Congress of the International Commission for Optics: Optics for Science and New Technology•Sep 1, 1996•0 citations

K-Photon Coherent States

Vladimír Bužek, Igor Jex, Tran Quang

We have introduced an alternative definition of the generalized k-photon coherent states which exhibit kth-order squeezing for k  2.

Journal of Modern Optics•Feb 1, 1990•60 citations

Non-classical properties of two-mode squeezed superposed coherent state

Liu Yu-jie, Huang Yan, Pang Shao-fang

A new class of non-classical state of the radiation field,called as two-mode squeezed superposed coherent state,is described in this paper.It is defined as ｜φ〉=CS(ξ)(｜α_1,α_2〉+e~(iφ)｜α~*_1,α~*_2〉).Calculating its normalized constant,its non-classical nature is discussed,including squeezed effect,sub-Poissonian distributing,anti-bunching effect,and the second-order cross correlation function between the two-mode.Numerical results demonstrate that the two-mode squeezed superposed coherent state possesses more obvious non-classical properties.Selecting suitable parameters α_1,α_2,φ,θandξ,the two-mode squeezed superposed coherent state can be reduced to the two-mode squeezed superposed vacuum state and the two-mode superposed coherent state.Therefore it is a kind of more generalized non-classical quantum state.

Dalian Qinggongye Xueyuan xuebao•Jan 1, 2006•0 citations

Lower-vs-Higher Order Non-classicality of Photon-added Bell-type Entangled Coherent States

Deepak Deepak, Arpita Chatterjee

We compare the lower and higher order non-classicality of a class of the photon-added Bell-type entangled coherent states (PBECS) got from Bell-type entangled coherent states using creation operators. We obtained lower and higher order criteria namely Mandel's $Q_m^l$, antibunching $d_h^{l-1}$, Subpoissioning photon statistics $D_h(l-1)$ and Squeezing $S(l)$ for the states obtained. Further we observe that first three criteria does not gives non-classicality for any state and higher order criteria gives very high positive values for all values of parameters. Also the fourth or last criterion $S(l)$ gives non-classicality for lower order as well as higher order.

arXiv:2305.18123•May 29, 2023•0 citations

New type of two-photon squeezed coherent states

Giacomo Mauro D’Ariano, Mario Rasetti, M. Vadacchino

A new set of non-naive generalizations of the squeezed coherent states recently discussed by Fisher, Nieto, and Sandberg is given, based on generalized Bose operators.

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Aug 15, 1985•61 citations

Deformed photon-added nonlinear coherent states and their non-classical properties

O Safaeian, Mohammad Kazem Tavassoly

In this paper, we will try to present a general formalism for the construction of deformed photon-added nonlinear coherent states (DPANCSs) |α, f , m ⟩, which in a special case lead to the well-known photon-added coherent state (PACS) |α, m ⟩. Some algebraic structures of the introduced DPANCSs are studied and particularly the resolution of the identity, as the most important property of generalized coherent states, is investigated. Meanwhile, it will be demonstrated that the introduced states can also be classified in the f -deformed coherent states, with a special nonlinearity function. Next, we will show that these states can be produced through a simple theoretical scheme. A discussion on the DPANCSs with negative values of m , i.e. |α, f , − m ⟩, is then presented. Our approach has the potentiality to be used for the construction of a variety of new classes of DPANCSs, corresponding to any nonlinear oscillator with known nonlinearity function, as well as arbitrary solvable quantum system with known discrete, non-degenerate spectrum. Finally, after applying the formalism to a particular physical system known as the Pöschl–Teller (P-T) potential and the nonlinear coherent states corresponding to a specific nonlinearity function , some of the non-classical properties, such as the Mandel parameter, second-order correlation function, in addition to first- and second-order squeezing of the corresponding states, will be investigated numerically.

arXiv:1108.5503•Journal of Physics A Mathematical and Theoretical•May 3, 2011•55 citations
It is well known that during the ℓth-subharmonic generation general ℓ-photon states evolve from an arbitrary state of the pump mode. For the second-subharmonic generation with an initial coherent state the assumption of pump nondepletion, the so called parametric approximation, is very useful for obtaining closed formulas. The resulting state then is an ordinary squeezed vacuum. The parametric approximation is ineffective for ℓ > 2 not only because closed formulas are not obtained, but also because it is proven that no quantum state is defined for nonzero higher-order squeezing [1]. This finding motivated a definition of the ℓ-photon coherent state [2],
A new class of non-classical state of the radiation field,called as two-mode squeezed superposed coherent state,is described in this paper.It is defined as ｜φ〉=CS(ξ)(｜α_1,α_2〉+e~(iφ)｜α~*_1,α~*_2〉).Calculating its normalized constant,its non-classical nature is discussed,including squeezed effect,sub-Poissonian distributing,anti-bunching effect,and the second-order cross correlation function between the two-mode.Numerical results demonstrate that the two-mode squeezed superposed coherent state possesses more obvious non-classical properties.Selecting suitable parameters α_1,α_2,φ,θandξ,the two-mode squeezed superposed coherent state can be reduced to the two-mode squeezed superposed vacuum state and the two-mode superposed coherent state.Therefore it is a kind of more generalized non-classical quantum state.
We compare the lower and higher order non-classicality of a class of the photon-added Bell-type entangled coherent states (PBECS) got from Bell-type entangled coherent states using creation operators. We obtained lower and higher order criteria namely Mandel's QmlQ_m^lQml​, antibunching dhl−1d_h^{l-1}dhl−1​, Subpoissioning photon statistics Dh(l−1)D_h(l-1)Dh​(l−1) and Squeezing S(l)S(l)S(l) for the states obtained. Further we observe that first three criteria does not gives non-classicality for any state and higher order criteria gives very high positive values for all values of parameters. Also the fourth or last criterion S(l)S(l)S(l) gives non-classicality for lower order as well as higher order.
In this paper, we will try to present a general formalism for the construction of deformed photon-added nonlinear coherent states (DPANCSs) |α, f , m ⟩, which in a special case lead to the well-known photon-added coherent state (PACS) |α, m ⟩. Some algebraic structures of the introduced DPANCSs are studied and particularly the resolution of the identity, as the most important property of generalized coherent states, is investigated. Meanwhile, it will be demonstrated that the introduced states can also be classified in the f -deformed coherent states, with a special nonlinearity function. Next, we will show that these states can be produced through a simple theoretical scheme. A discussion on the DPANCSs with negative values of m , i.e. |α, f , − m ⟩, is then presented. Our approach has the potentiality to be used for the construction of a variety of new classes of DPANCSs, corresponding to any nonlinear oscillator with known nonlinearity function, as well as arbitrary solvable quantum system with known discrete, non-degenerate spectrum. Finally, after applying the formalism to a particular physical system known as the Pöschl–Teller (P-T) potential and the nonlinear coherent states corresponding to a specific nonlinearity function , some of the non-classical properties, such as the Mandel parameter, second-order correlation function, in addition to first- and second-order squeezing of the corresponding states, will be investigated numerically.