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

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Nonclassical effects in nondegenerate optical parametric symmetric coupler

Mohamed S. Abdalla, Faisal A. A. El-Orany, Jan Peřina

Published Jul 19, 1999• 0 citations
Publisher

Abstract

In the framework of Hamiltonian formalism nonclassical effects of an optical field propagating inside a directional coupler containing nondegenerate parametric amplification have been studied. We investigate the effect of switching between the input modes and the out going fields from the coupler. Particular attention has been paid to two mode squeezing, second-order correlation function, quasiprobability distribution functions, and photon-number distribution. Incident number and coherent states are considered. It has been shown that when one of the modes enters the coupler in the Fock state and the other modes are in vacuum states, the coupler can serve as a generator for coherent state. Furthermore, regimes for generation and transmission of squeezed and/or sub-Poissonian light are found.

DOI
10.1117/12.354873

Related papers

Quantum statistical properties of nondegenerate optical parametric symmetric coupler

M. Sebawe Abdalla, Faisal A. A. El-Orany, Jan Peřina

In the framework of Hamiltonian formalism the quantum statistical properties of an optical field propagating inside a directional coupler operating by nondegenerate parametric amplification are studied. We investigate the effect of switching between the input modes and the outgoing fields from the coupler. Particular attention is paid to two-mode squeezing, the second-order correlation function, quasiprobability distribution functions, and photon-number distribution. Incident number and coherent states are considered. It has been shown that when one of the modes enters the coupler in the Fock state |1 and the other modes are in vacuum states, the coupler can serve as a generator of a coherent state. Furthermore, regimes for the generation and transmission of squeezed and/or sub-Poissonian light are found.

Journal of Physics A Mathematical and General•Jan 1, 1999•12 citations

Nonclassical light in nonlinear optical couplers

Jan Peřina

Statistical properties of light generated in nonlinear optical couplers are discussed. Methods suitable for the description of non-classical properties of light are mentioned; special attention is paid to generalized superposition of coherent fields and noise. Regimes suitable for non-classical light generation in various types of nonlinear couplers based on second-harmonic and second- subharmonic generation, optical parametric processes, Kerr effect as well as Raman and Brillouin processes are analyzed. Special attention is devoted to the generation of light with sub-Poissonian statistics, squeezed light, and light in purely quantum states. Role of real effects like damping of optical fields and phase mismatches is also discussed.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Mar 7, 2001•0 citations

Quantum statistics and dynamics of nonlinear couplers with nonlinear exchange

M. Sebawe Abdalla, Faisal A. A. El-Orany, Jan Pe[rcirc]ina

In this paper we derive the quantum statistical and dynamical properties of nonlinear optical couplers composed of two nonlinear waveguides operating by second subharmonic generation, which are coupled linearly through evanescent waves and nonlinearly through non-degenerate optical parametric interaction. Main attention is paid to generation and transmission of non-classical light, based on a discussion of the squeezing phenomenon, the normalized second-order correlation function and quasiprobability distribution functions. Initially coherent, number and thermal states of optical beams are considered. In particular, results are discussed with dependence on the strength of the nonlinear coupling relatively to the linear coupling. We show that if the Fock state |1〉 enters the first waveguide and the vacuume state |0〉 enters the second waveguide, the coupler can serve as a generator of squeezed vacuum state governed by the coupler parameters. Further, if thermal fields enter initially the waveguides the coupler plays a similar role as a microwave Josephson-junction parametric amplifier to generate squeezed thermal light.

arXiv:1107.5982•Journal of Modern Optics•May 1, 2000•7 citations

Nonclassical fields in a linear directional coupler

W. K. Lai, V. Buek, P. L. Knight

In the present paper, we discuss the photon statistics of nonclassical fields in a linear directional coupler. We study the photon distributions at the output ports of the coupler for number-state inputs, as well as for arbitrary-state inputs. In particular, we show that when a number state enters one port of the coupler and the vacuum enters the other port, an SU(2) coherent state is generated at the output ports. If the same number state enters both ports of the coupler, the probability of finding an odd number of photons at either of the output ports vanishes for a particular choice of the coupler length. We show that if a number state enters port 1 and a strong coherent field enters port 2, the coupler can serve as a generator of displaced number states (in fact, in this case the coupler behaves essentially as a homodyne detector). We show that the coupler is equivalent to an imperfect photon detector with efficiency governed by the coupler parameters. We study the effect of dissipative losses within the coupler as well as the effect of scattering coupling in the coupler. The latter leads to equalization of the energy in each guide. We show that in the presence of scattering coupling, the coupler behaves neither like an imperfect photon detector nor a homodyne detector.

Physical Review A•Jun 1, 1991•95 citations

Generation of squeezed light in a nonlinear asymmetric directional coupler

Faisal A A El-Orany, Jan Peřina, M Sebawe Abdalla

We show that a nonlinear asymmetric directional coupler composed of a linear waveguide and a nonlinear waveguide operating by nondegenerate parametric amplification is an effective source of single-mode squeezed light. This is demonstrated, under certain conditions and for specific modes, for incident coherent beams in terms of the quasiprobability functions, photon-number distribution and phase distribution.

arXiv:1107.5398•Journal of Optics B Quantum and Semiclassical Optics•Mar 27, 2001•10 citations

Nonclassical light in complex optical systems

A. Karpati, Петер Адам, József Janszky +2 more

A general method is developed for analysing the evolution of nonclassical light in complex two-mode optical systems where linear and nonlinear processes with quadratic Hamiltonians can take place simultaneously or successively. Analytic expressions are derived for the output Wigner function and the output photon number distribution for a general coherent-state superposition input that can approximate any quantum state of light with a high degree of accuracy. As an example, the evolution of amplitude squeezed light is analysed in a nonlinear coupler with degenerate and nondegenerate parametric amplification. It is shown that all-optical switching can be realized in this system.

Journal of Optics B Quantum and Semiclassical Optics•Apr 1, 2000•5 citations
In the framework of Hamiltonian formalism nonclassical effects of an optical field propagating inside a directional coupler containing nondegenerate parametric amplification have been studied. We investigate the effect of switching between the input modes and the out going fields from the coupler. Particular attention has been paid to two mode squeezing, second-order correlation function, quasiprobability distribution functions, and photon-number distribution. Incident number and coherent states are considered. It has been shown that when one of the modes enters the coupler in the Fock state and the other modes are in vacuum states, the coupler can serve as a generator for coherent state. Furthermore, regimes for generation and transmission of squeezed and/or sub-Poissonian light are found.
In the framework of Hamiltonian formalism the quantum statistical properties of an optical field propagating inside a directional coupler operating by nondegenerate parametric amplification are studied. We investigate the effect of switching between the input modes and the outgoing fields from the coupler. Particular attention is paid to two-mode squeezing, the second-order correlation function, quasiprobability distribution functions, and photon-number distribution. Incident number and coherent states are considered. It has been shown that when one of the modes enters the coupler in the Fock state |1 and the other modes are in vacuum states, the coupler can serve as a generator of a coherent state. Furthermore, regimes for the generation and transmission of squeezed and/or sub-Poissonian light are found.
Statistical properties of light generated in nonlinear optical couplers are discussed. Methods suitable for the description of non-classical properties of light are mentioned; special attention is paid to generalized superposition of coherent fields and noise. Regimes suitable for non-classical light generation in various types of nonlinear couplers based on second-harmonic and second- subharmonic generation, optical parametric processes, Kerr effect as well as Raman and Brillouin processes are analyzed. Special attention is devoted to the generation of light with sub-Poissonian statistics, squeezed light, and light in purely quantum states. Role of real effects like damping of optical fields and phase mismatches is also discussed.
In this paper we derive the quantum statistical and dynamical properties of nonlinear optical couplers composed of two nonlinear waveguides operating by second subharmonic generation, which are coupled linearly through evanescent waves and nonlinearly through non-degenerate optical parametric interaction. Main attention is paid to generation and transmission of non-classical light, based on a discussion of the squeezing phenomenon, the normalized second-order correlation function and quasiprobability distribution functions. Initially coherent, number and thermal states of optical beams are considered. In particular, results are discussed with dependence on the strength of the nonlinear coupling relatively to the linear coupling. We show that if the Fock state |1〉 enters the first waveguide and the vacuume state |0〉 enters the second waveguide, the coupler can serve as a generator of squeezed vacuum state governed by the coupler parameters. Further, if thermal fields enter initially the waveguides the coupler plays a similar role as a microwave Josephson-junction parametric amplifier to generate squeezed thermal light.
In the present paper, we discuss the photon statistics of nonclassical fields in a linear directional coupler. We study the photon distributions at the output ports of the coupler for number-state inputs, as well as for arbitrary-state inputs. In particular, we show that when a number state enters one port of the coupler and the vacuum enters the other port, an SU(2) coherent state is generated at the output ports. If the same number state enters both ports of the coupler, the probability of finding an odd number of photons at either of the output ports vanishes for a particular choice of the coupler length. We show that if a number state enters port 1 and a strong coherent field enters port 2, the coupler can serve as a generator of displaced number states (in fact, in this case the coupler behaves essentially as a homodyne detector). We show that the coupler is equivalent to an imperfect photon detector with efficiency governed by the coupler parameters. We study the effect of dissipative losses within the coupler as well as the effect of scattering coupling in the coupler. The latter leads to equalization of the energy in each guide. We show that in the presence of scattering coupling, the coupler behaves neither like an imperfect photon detector nor a homodyne detector.
A general method is developed for analysing the evolution of nonclassical light in complex two-mode optical systems where linear and nonlinear processes with quadratic Hamiltonians can take place simultaneously or successively. Analytic expressions are derived for the output Wigner function and the output photon number distribution for a general coherent-state superposition input that can approximate any quantum state of light with a high degree of accuracy. As an example, the evolution of amplitude squeezed light is analysed in a nonlinear coupler with degenerate and nondegenerate parametric amplification. It is shown that all-optical switching can be realized in this system.