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 Modern Optics

Electromagnetically induced opacity for photon pairs

Kevin J. Resch, Jeff S. Lundeen, Aephraim M. Steinberg

Published Mar 1, 2002• 6 citations
Publisher

Abstract

It is shown that quantum interference with classical beams may be used to suppress or enhance the rate of spontaneous photon-pair production from a nonlinear crystal. Sum-frequency generation of the classical beams is simultaneously enhanced or suppressed via interference with a classical pump. In the extreme case, a crystal which is transparent to individual photons may block all photon pairs, converting them to 2w. This constitutes a coherent nonlinear response at the single-photon level, enhanced by a factor of approximately 10 10 Experimental data and a theoretical description are presented, and an attempt is made to delineate the classical and quantum aspects of these effects.

DOI
10.1080/09500340110088623

Related papers

Single-Photon-Level Nonlinear Optics Through Quantum Interference

Jeff S. Lundeen, Kevin J. Resch, Aephraim M. Steinberg

We demonstrate suppression of spontaneous parametric down-conversion via quantum interference with two weak coherent states. Pairs of photons upconvert with high efficiency exhibiting a nonlinearity enhanced by 10 orders of magnitude. This constitutes a two-photon switch.

Optical Fiber Communication Conference•Jan 1, 2001•0 citations

Making photons talk to each other: Nonlinear optics in the quantum domain

Kevin J. Resch

I present experimental and theoretical work on extending nonlinear optical effects to the quantum domain. First, I experimentally demonstrate an incoherent nonlinear effect linked to the amplification stage of photon detection in a single-photon counter. The detector, in the high-efficiency regime, does not follow Glauber's quantum mechanical model for photodetection and, as a result, quantum interference effects are observable in the singles rate of one detector. I then go on to theoretically describe and experimentally demonstrate two coherent nonlinear optical effects at the single-photon level. In both experiments, the usually weak nonlinear optical properties of a common nonlinear crystal are enhanced by over 10 orders of magnitude using interference. The first of these coherent processes uses interference to frequency double all photon pairs from a couple of very weak laser beams (containing, on average, less than one photon per pulse). I show how this nonlinearity might be used for �phase-sum� entanglement swapping and an experimental demonstration of Hardy's paradox. The second coherent effect is the dispersive analogue to the first; instead of frequency doubling all of the photon pairs, all photon pairs experience an additional nonlinear phase shift. It is analogous to an immensely enhanced Kerr nonlinearity. This effect is applied to the problem of Bell-state discrimination and can be used to entangle and disentangle the polarization states of a pair of photons under certain conditions. The final experiment in this thesis is a demonstration of a technique for creating coherent superpositions of zero and one photon based on the detection of a single, �trigger� photon.

•Jan 1, 2003•1 citation

Atomic-resonance-enhanced nonlinear optical frequency conversion with entangled photon pairs

Shengwang Du

We theoretically study nonlinear optical frequency conversion with time-frequency entangled paired photons whose sum frequency is on two-photon resonance of an atomic ensemble. Assisted by a strong coupling laser, two paired photons with wide spectrum are converted into a single monochromatic photon. The on-resonance nonlinear process is made possible due to the electromagnetically induced transparency that not only eliminates the on-resonance absorption but also enhances the nonlinear interaction between the single photons and atoms. Compared to this quantum-nonlinear conversion, the classical corresponding single-photon counts from accidental two-photon coincidence has a wide spectrum and experiences large absorption. As a result, the system can be used as an efficient two-photon quantum correlator in which the classical accidental coincidences can be suppressed. We perform numerical simulations basing on a Rb atomic vapor cell with realistic operating parameters.

Physical Review A•Mar 7, 2011•10 citations

Nonlinear optical efficiency of two-photon fields

Vera M. Petnikova

An analysis is made of ω 1 +ω 2 =ω 3 sum-frequency generation in a nonlinear crystal and also of twophoton absorption under the action of "biphotons," i.e., correlated two-photon fields formed as a result of spontaneous parametric scattering of the initial pump field in another crystal. It is shown that at low pump powers, the biphoton efficiency in two-photon processes is considerably higher than the efficiency of classically correlated fields of the same intensity. It is found that in the case of coherent pumping, the regenerated sum-frequency field is also coherent.

Soviet Journal of Quantum Electronics•Mar 31, 1979•3 citations

Enhanced generation rate of the coherent entanglement photon pairs in parametrical down-conversion

N. A. Enaki, Viorel Ciornea

The effect of enhancing nonlinear generation of entangled photons in the process of interaction of the external coherent electromagnetic field with a nonlinear dispersive medium is studied in this paper. Taking into account the second- and third-order susceptibility tensors of the crystal, it is demonstrated that in the good cavity approximation the bistable behaviour of the two-photon generation coefficient as a function of intensity of the pump laser field is possible. This effect is stimulated by decreasing the detuning between the frequency of the cavity mode and pump frequency as a function of anharmonicity terms in polarization.

Journal of Physics A Mathematical and General•May 24, 2001•3 citations

Suppression of two-photon absorption by quantum interference

Min Yan, Edward G. Rickey, Y. Zhu

Summary form only given. Linear and nonlinear atomic response can be manipulated by quantum interference in an atomic medium in which electromagnetically induced transparency (EIT) is created by a coherent coupling field. Recently Agarwal and Harshawardhan showed that two-photon absorption may be enhanced or suppressed by quantum interference in a ladder-type atomic system (Phys. Rev. Lett. vol. 77, p. 1039, 1996). We report an experimental demonstration of two-photon suppression by quantum interference in /sup 87/Rb atoms cooled and confined in a magneto-optical trap (MOT).

Quantum Electronics and Laser Science Conference•Nov 13, 2002•2 citations
It is shown that quantum interference with classical beams may be used to suppress or enhance the rate of spontaneous photon-pair production from a nonlinear crystal. Sum-frequency generation of the classical beams is simultaneously enhanced or suppressed via interference with a classical pump. In the extreme case, a crystal which is transparent to individual photons may block all photon pairs, converting them to 2w. This constitutes a coherent nonlinear response at the single-photon level, enhanced by a factor of approximately 10 10 Experimental data and a theoretical description are presented, and an attempt is made to delineate the classical and quantum aspects of these effects.
I present experimental and theoretical work on extending nonlinear optical effects to the quantum domain. First, I experimentally demonstrate an incoherent nonlinear effect linked to the amplification stage of photon detection in a single-photon counter. The detector, in the high-efficiency regime, does not follow Glauber's quantum mechanical model for photodetection and, as a result, quantum interference effects are observable in the singles rate of one detector. I then go on to theoretically describe and experimentally demonstrate two coherent nonlinear optical effects at the single-photon level. In both experiments, the usually weak nonlinear optical properties of a common nonlinear crystal are enhanced by over 10 orders of magnitude using interference. The first of these coherent processes uses interference to frequency double all photon pairs from a couple of very weak laser beams (containing, on average, less than one photon per pulse). I show how this nonlinearity might be used for �phase-sum� entanglement swapping and an experimental demonstration of Hardy's paradox. The second coherent effect is the dispersive analogue to the first; instead of frequency doubling all of the photon pairs, all photon pairs experience an additional nonlinear phase shift. It is analogous to an immensely enhanced Kerr nonlinearity. This effect is applied to the problem of Bell-state discrimination and can be used to entangle and disentangle the polarization states of a pair of photons under certain conditions. The final experiment in this thesis is a demonstration of a technique for creating coherent superpositions of zero and one photon based on the detection of a single, �trigger� photon.
We theoretically study nonlinear optical frequency conversion with time-frequency entangled paired photons whose sum frequency is on two-photon resonance of an atomic ensemble. Assisted by a strong coupling laser, two paired photons with wide spectrum are converted into a single monochromatic photon. The on-resonance nonlinear process is made possible due to the electromagnetically induced transparency that not only eliminates the on-resonance absorption but also enhances the nonlinear interaction between the single photons and atoms. Compared to this quantum-nonlinear conversion, the classical corresponding single-photon counts from accidental two-photon coincidence has a wide spectrum and experiences large absorption. As a result, the system can be used as an efficient two-photon quantum correlator in which the classical accidental coincidences can be suppressed. We perform numerical simulations basing on a Rb atomic vapor cell with realistic operating parameters.
An analysis is made of ω 1 +ω 2 =ω 3 sum-frequency generation in a nonlinear crystal and also of twophoton absorption under the action of "biphotons," i.e., correlated two-photon fields formed as a result of spontaneous parametric scattering of the initial pump field in another crystal. It is shown that at low pump powers, the biphoton efficiency in two-photon processes is considerably higher than the efficiency of classically correlated fields of the same intensity. It is found that in the case of coherent pumping, the regenerated sum-frequency field is also coherent.
The effect of enhancing nonlinear generation of entangled photons in the process of interaction of the external coherent electromagnetic field with a nonlinear dispersive medium is studied in this paper. Taking into account the second- and third-order susceptibility tensors of the crystal, it is demonstrated that in the good cavity approximation the bistable behaviour of the two-photon generation coefficient as a function of intensity of the pump laser field is possible. This effect is stimulated by decreasing the detuning between the frequency of the cavity mode and pump frequency as a function of anharmonicity terms in polarization.
Summary form only given. Linear and nonlinear atomic response can be manipulated by quantum interference in an atomic medium in which electromagnetically induced transparency (EIT) is created by a coherent coupling field. Recently Agarwal and Harshawardhan showed that two-photon absorption may be enhanced or suppressed by quantum interference in a ladder-type atomic system (Phys. Rev. Lett. vol. 77, p. 1039, 1996). We report an experimental demonstration of two-photon suppression by quantum interference in /sup 87/Rb atoms cooled and confined in a magneto-optical trap (MOT).