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

Time reversal, enhancement, and suppression of dipole radiation by a phase-conjugate mirror

Erik J. Bochove

Published Sep 1, 1991• 0 citations
Publisher

Abstract

The interaction of a dipole radiator with a phase-conjugate mirror through a quantized radiation field leads to dramatic enhancement of the nonlinearity if the radiator is a slightly anharmonic oscillator. Quantum noise from the conjugator saturates the linear and nonlinear response of a two-level radiator when the reflectivity exceeds unity.

DOI
10.1117/12.46778

Related papers

Quenching and enhancement of an optical nonlinearity by a phase-conjugate mirror

Erik J. Bochove

The nonlinear polarizabilities of a two-level atom and a nonlinear oscillator in front of a resonant phase-conjugate mirror are calculated as functions of the mirror reflectivity. The effect of the mirror is to quench the nonlinearity of the two-level system and most anharmonic oscillators. In the case of a weakly anharmonic oscillator the nonlinear polarizability can be extremely large.

Optics Letters•Jun 1, 1991•0 citations

Theory of classical and quantized dipole radiators near a phase conjugate mirror

Erik J. Bochove

The interaction of a radiating dipole with a phase conjugate mirror (PCM) is enhanced due to wavefront reversal by the PCM as well as by possible gain. Moreover, decay at two frequencies is predicted when ω o = ω m and 4(α r + αnr) d/c ≪ 1, where ω o = free oscillation frequency of the dipole, ω m = pump frequency of PCM (four-wave mixing), α r , and α nr are the radiative and nonradiative decay rates, respectively, and d is the effective distance to the PCM. Decay at multiple frequencies is predicted when 4(α r + α nr ) d/c ≳ 1. Locking of decay frequencies to the pump frequency is predicted at a critical pump intensity and at a second critical point the dipole gains energy from the PCM.

Annual Meeting Optical Society of America•Jan 1, 1987•0 citations

Atomic dipole in front of a phase-conjugate mirror

Benno H. W. Hendriks, Gerard Nienhuis

We study the effect of the presence of a phase-conjugate mirror on the evolution of a classical radiating dipole and of a quantum-mechanical two-state atom. In both cases the modified evolution equations are solved and explicit solutions are presented. The evolution of the classical dipole and of the atomic coherences depends on the initial relative phase of the atomic dipole and the phase-conjugate mirror.

Physical Review A•Aug 1, 1989•17 citations

Dipole radiation in the presence of a phase conjugate mirror

G. S. Agarwal

Optics Communications•Jul 1, 1982•42 citations

Spontaneous and stimulated emission by atoms interacting with a phase conjugate mirror

Erik J. Bochove, Peter W. Milonni

The properties of a phase conjugate mirror (PCM) interacting radiatively with other objects are investigated. The spontaneous emission rate of a two-level atom (TLA) is attributed to the dipole emission of the upper energy level into vacuum field modes incident on the front face of the PCM, the emission into vacuum modes transmitted from the rear port of the PCM, enhanced by a factor 1 + R (R = reflectivity), and the emission of a photon while the atom is in the lower level, accompanied by annihilation of two pump photons, weighted by a factor of R per emitted photon. These processes lead to an enhancement factor of 1 + R for the spontaneous decay rate and a steady state upper level occupation probability R/(2R + 2), both in agreement with solution of the Heisenberg equations of TLA operators.1 The momentum transfer is zero, and the steady state emission rate is A12R(R + 2)/(2R + 2) photons/s atom. The stimulated emission and absorption constants are enhanced in a similar way. Contrary to the case of a conventional mirror, the Lippman fringes are present only for coherent radiation states.

Annual Meeting Optical Society of America•Jan 1, 1989•0 citations

Quantum entanglement of anharmonic oscillators

Chaitanya S. Joshi, M. Jonson, Erika Andersson +1 more

We investigate the quantum entanglement dynamics of undriven anharmonic (nonlinear) oscillators with quartic potentials. We first consider the indirect interaction between two such nonlinear oscillators mediated by a third, linear oscillator and show that this leads to a time-varying entanglement of the oscillators, the entanglement being strongly influenced by the nonlinear oscillator dynamics. In the presence of dissipation, the role of nonlinearity is strongly manifested in the steady-state dynamics of the indirectly coupled anharmonic oscillators. We further illustrate the effect of nonlinearities by studying the coupling between an electromagnetic field in a cavity and one movable mirror which is modelled as a nonlinear oscillator. For this case, we present a full analytical treatment, which is valid in a regime where both the nonlinearity and the coupling due to radiation pressure are weak. We show that, without the need of any conditional measurements on the cavity field, the state of the movable mirror is non-classical as a result of the combined effect of the intrinsic nonlinearity and the radiation-pressure coupling. This interaction is also shown to be responsible for squeezing the movable mirror's position quadrature beyond the minimum uncertainty state even when the mirror is initially prepared in its ground state.

arXiv:1105.2256•Journal of Physics B Atomic Molecular and Optical Physics•Nov 30, 2011•16 citations
The interaction of a dipole radiator with a phase-conjugate mirror through a quantized radiation field leads to dramatic enhancement of the nonlinearity if the radiator is a slightly anharmonic oscillator. Quantum noise from the conjugator saturates the linear and nonlinear response of a two-level radiator when the reflectivity exceeds unity.
The interaction of a radiating dipole with a phase conjugate mirror (PCM) is enhanced due to wavefront reversal by the PCM as well as by possible gain. Moreover, decay at two frequencies is predicted when ω o = ω m and 4(α r + αnr) d/c ≪ 1, where ω o = free oscillation frequency of the dipole, ω m = pump frequency of PCM (four-wave mixing), α r , and α nr are the radiative and nonradiative decay rates, respectively, and d is the effective distance to the PCM. Decay at multiple frequencies is predicted when 4(α r + α nr ) d/c ≳ 1. Locking of decay frequencies to the pump frequency is predicted at a critical pump intensity and at a second critical point the dipole gains energy from the PCM.
The properties of a phase conjugate mirror (PCM) interacting radiatively with other objects are investigated. The spontaneous emission rate of a two-level atom (TLA) is attributed to the dipole emission of the upper energy level into vacuum field modes incident on the front face of the PCM, the emission into vacuum modes transmitted from the rear port of the PCM, enhanced by a factor 1 + R (R = reflectivity), and the emission of a photon while the atom is in the lower level, accompanied by annihilation of two pump photons, weighted by a factor of R per emitted photon. These processes lead to an enhancement factor of 1 + R for the spontaneous decay rate and a steady state upper level occupation probability R/(2R + 2), both in agreement with solution of the Heisenberg equations of TLA operators.1 The momentum transfer is zero, and the steady state emission rate is A12R(R + 2)/(2R + 2) photons/s atom. The stimulated emission and absorption constants are enhanced in a similar way. Contrary to the case of a conventional mirror, the Lippman fringes are present only for coherent radiation states.
We investigate the quantum entanglement dynamics of undriven anharmonic (nonlinear) oscillators with quartic potentials. We first consider the indirect interaction between two such nonlinear oscillators mediated by a third, linear oscillator and show that this leads to a time-varying entanglement of the oscillators, the entanglement being strongly influenced by the nonlinear oscillator dynamics. In the presence of dissipation, the role of nonlinearity is strongly manifested in the steady-state dynamics of the indirectly coupled anharmonic oscillators. We further illustrate the effect of nonlinearities by studying the coupling between an electromagnetic field in a cavity and one movable mirror which is modelled as a nonlinear oscillator. For this case, we present a full analytical treatment, which is valid in a regime where both the nonlinearity and the coupling due to radiation pressure are weak. We show that, without the need of any conditional measurements on the cavity field, the state of the movable mirror is non-classical as a result of the combined effect of the intrinsic nonlinearity and the radiation-pressure coupling. This interaction is also shown to be responsible for squeezing the movable mirror's position quadrature beyond the minimum uncertainty state even when the mirror is initially prepared in its ground state.