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

Quantum computing and fundamental limit of self-switching effect for nonlinear spatially inhomogeneous bosonic systems

A. Yu. Leksin, A. P. Alodjants, Alexei V. Prokhorov, Sergei M Arakelyan

Published Apr 3, 2002• 0 citations
Publisher

Abstract

The quantum theory of nonlinear dynamics and self-switching effect for two coupled bosonic modes in nonlinear spatially inhomogeneous system shave been developed using Hartree approximation for the first time. The quantum limits of observation of self-switching effect for the polarization characteristics have been founded. We also predict the formation of nonclassical mesoscopic states in such a system as well. We also propose four-mode interaction in the systems under consideration for quantum XOR and SWAP logic operations.

DOI
10.1117/12.464503

Related papers

Nonclassical states of two-component mesoscopic optical system and quantum limit of self-switching of light polarization in nonlinear DFB systems

A. Yu. Leksin, A. P. Alodjants, Sergei M Arakelyan

The quantum theory of nonlinear dynamics and self-switching effect for two coupled waves in nonlinear distributed feedback systems (DFB) have been developed using Hartree approximation for the first time. The quantum limits of observation of self-switching effect for the polarization characteristics of light have been founded. We also predict the formation of nonclassical mesoscopic states (Schroedinger cat like states) of light in such systems as well.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 30, 2002•0 citations

Quantum Limit for Observation of Self-switching Effect of Light in Nonlinear Spatially Inhomogeneous Optical System

A. P. Alodjants, A. Yu. Leksin, Alexei V. Prokhorov +1 more

The quantum theory of nonlinear dynamics and self-switching effect for two coupled waves in nonlinear distributed feedback systems (DFB) - cholesteric liquid crystals and/or spatially inhomogeneous optical fibers (waveguides) - has developed for the first time. The quantum limits of observation of self-switching effect for the polarization characteristics of light have been founded.

Molecular crystals and liquid crystals science technology. Section A, Molecular crystals and liquid crystals/Molecular crystals and liquid crystals science and technology. Section A, Molecular crystals and liquid crystals•Jan 1, 2002•1 citation

Mesoscopic quantum properties and the fundamental limit of switching of polarization states of light in spatially periodic systems

A. Yu. Leksin, A. P. Alodjants, Sergei M Arakelyan

Quantum analysis of the nonlinear dynamics and self-switching of unidirectional waves in nonlinear systems with distributed feedback is carried out in the Hartree approximation. Quantum limitations on the observation of self-switching are found for the polarization characteristics of light. The formation of nonclassical mesoscopic states of light is predicted. The phenomenon of optical “superfluidity” in systems with distributed feedback is discussed.

Optics and Spectroscopy•May 1, 2003•2 citations

Quantum Limit for Observation of Self-switching Effect of Light in Nonlinear Spatially Inhomogeneous Optical System

A. P. Alodjants, A. Yu. Leksin, Alexei V. Prokhorov +1 more

Molecular Crystals and Liquid Crystals•Jan 1, 2002•1 citation

Entanglement dynamics in a two-mode nonlinear bosonic Hamiltonian

L. Sanz, R. M. Angelo, K. Furuya

An exactly solvable case of an interacting Hamiltonian of two bosonic modes is considered to study fundamental properties of the entanglement dynamics for coupled nonlinear oscillators. Such an interaction is of physical importance, either in a two-species Bose–Einstein condensate or in the case of two modes of electromagnetic fields interacting in Kerr media. The time-evolved state is obtained analytically for initial products of two Fock and two coherent states, and the purification times of the subsystems are determined. The possibility of dynamical generation of a quantum superposition state is discussed at such purification times. We also identify the existence of two regimes: the short time, phase spread regime where subsystem entropy rises monotonically and the self-interference regime where it oscillates and a purification phenomenon can be observed. Our results also show that the break time from the first regime to the second one becomes longer, as well as the purification and reversibility times, as the Planck constant becomes much smaller than a typical action in phase space.

Journal of Physics A Mathematical and General•Sep 2, 2003•57 citations

Nonlinear polarization phenomena in quantum microcavities

Ivan Andreevich Shelykh

Nonlinear effects lie amongst the most interesting phenomena in physical, chemical and biological systems. In quantum physics nonlinearity is provided by inter-particle interactions. A theoretical many-body description can be made in the framework of the mean field approximation, which yields the Hartree-Fock equations for a system of interacting fermions and the Gross-Pitaevskii equation for interacting bosons. The latter is widely applied to Bose-Einstein condensates (BECs) of cold atoms and satisfactorily describes a variety of nonlinear phenomena, such as the superfluid transition, formation of single vortices and vortex lattices. From the mathematical point of view the Gross-Pitaevskii equation is equivalent to the nonlinear Schrödinger equation, used in nonlinear optics for the description of self-focusing and soliton propagation.

Frontiers in Optics•Jan 1, 2012•0 citations
The quantum theory of nonlinear dynamics and self-switching effect for two coupled bosonic modes in nonlinear spatially inhomogeneous system shave been developed using Hartree approximation for the first time. The quantum limits of observation of self-switching effect for the polarization characteristics have been founded. We also predict the formation of nonclassical mesoscopic states in such a system as well. We also propose four-mode interaction in the systems under consideration for quantum XOR and SWAP logic operations.
An exactly solvable case of an interacting Hamiltonian of two bosonic modes is considered to study fundamental properties of the entanglement dynamics for coupled nonlinear oscillators. Such an interaction is of physical importance, either in a two-species Bose–Einstein condensate or in the case of two modes of electromagnetic fields interacting in Kerr media. The time-evolved state is obtained analytically for initial products of two Fock and two coherent states, and the purification times of the subsystems are determined. The possibility of dynamical generation of a quantum superposition state is discussed at such purification times. We also identify the existence of two regimes: the short time, phase spread regime where subsystem entropy rises monotonically and the self-interference regime where it oscillates and a purification phenomenon can be observed. Our results also show that the break time from the first regime to the second one becomes longer, as well as the purification and reversibility times, as the Planck constant becomes much smaller than a typical action in phase space.
Nonlinear effects lie amongst the most interesting phenomena in physical, chemical and biological systems. In quantum physics nonlinearity is provided by inter-particle interactions. A theoretical many-body description can be made in the framework of the mean field approximation, which yields the Hartree-Fock equations for a system of interacting fermions and the Gross-Pitaevskii equation for interacting bosons. The latter is widely applied to Bose-Einstein condensates (BECs) of cold atoms and satisfactorily describes a variety of nonlinear phenomena, such as the superfluid transition, formation of single vortices and vortex lattices. From the mathematical point of view the Gross-Pitaevskii equation is equivalent to the nonlinear Schrödinger equation, used in nonlinear optics for the description of self-focusing and soliton propagation.