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

Physical Review A

Generation of photonic Cooper pairs in nanoscale optomechanical waveguides

Yi Zhang, Lei Zhang, Yong‐yuan Zhu

Published Jul 12, 2018• 4 citations
Publisher

Abstract

In this paper we theoretically show that counterpart photonic Cooper pairs can be achieved in nanoscale waveguides with radiation pressure effect. We demonstrate that due to Brillouin scattering a Stokes photon and an anti-Stokes one can exchange virtual phonons, leading to an effective photon-photon interaction. The effective interaction Hamiltonian of the two photons is identical to that for electrons in the BCS theory, and the photonic counterpart of the superconducting energy gap can appear. Quite different from the conventional stimulated Brillouin scattering the number of photon pairs can be amplified. The result could be used as a photon-pair laser and might have a possible application in integrated optics and quantum information processing in the future.

DOI
10.1103/physreva.98.013824

Related papers

Photonic Cooper Pairs

André Saraiva, Filomeno Soares de Aguiar Júnior, Reinaldo de Melo e Souza +5 more

The microscopic theory of superconductivity raised the disruptive idea that electrons couple through the elusive exchange of virtual phonons, overcoming the strong Coulomb repulsion to form Cooper pairs. Light is also known to interact with atomic vibrations, as for example in the Raman effect. We show that photon pairs exchange virtual vibrations in transparent media, leading to an effective photon-photon interaction identical to that for electrons in BCS theory of supercondutivity, in spite of the fact that photons are bosons. In this scenario, photons may exchange energy without matching a quantum of vibration of the medium. As a result, pair correlations for photons scattered away from the Raman resonances are expected to be enhanced. Experimental demonstration of this effect is provided here by time correlated Raman measurements in different media. The experimental data confirm our theoretical interpretation of a photonic Cooper pairing, without the need for any fitting parameters.

•Sep 13, 2017•0 citations

Quantum Nonlinear Optics in Optomechanical Nanoscale Waveguides

Hashem Zoubi, Klemens Hammerer

We show that strong nonlinearities at the few photon level can be achieved in optomechanical nanoscale waveguides. We consider the propagation of photons in cm-scale one-dimensional nanophotonic structures where stimulated Brillouin scattering (SBS) is strongly enhanced by radiation pressure coupling. We introduce a configuration that allows slowing down photons by several orders of magnitude via SBS from sound waves using two pump fields. Slowly propagating photons can then experience strong nonlinear interactions through virtual off-resonant exchange of dispersionless phonons. As a benchmark we identify requirements for achieving a large cross-phase modulation among two counterpropagating photons applicable for photonic quantum gates. Our results indicate that strongly nonlinear quantum optics is possible in continuum optomechanical systems realized in nanophotonic structures.

arXiv:1610.03355•Physical Review Letters•Sep 21, 2017•19 citations

Photonic Counterparts of Cooper Pairs

André Saraiva, Filomeno Soares de Aguiar Júnior, Reinaldo de Melo e Souza +5 more

The microscopic theory of superconductivity raised the disruptive idea that electrons couple through the elusive exchange of virtual phonons, overcoming the strong Coulomb repulsion to form Cooper pairs. Light is also known to interact with atomic vibrations, as, for example, in the Raman effect. We show that photon pairs exchange virtual vibrations in transparent media, leading to an effective photon-photon interaction identical to that for electrons in the BCS theory of superconductivity, in spite of the fact that photons are bosons. In this scenario, photons may exchange energy without matching a quantum of vibration of the medium. As a result, pair correlations for photons scattered away from the Raman resonances are expected to be enhanced. An experimental demonstration of this effect is provided here by time-correlated Raman measurements in different media. The experimental data confirm our theoretical interpretation of a photonic Cooper pairing, without the need for any fitting parameters.

arXiv:1709.04520•Physical Review Letters•Nov 9, 2017•39 citations

Quantum Correlations in the Stokes-anti-Stokes Raman Scattering: Photonic Cooper Pairs

Filomeno Soares de Aguiar Júnior, Ado Jório, Carlos Henrique Monken +4 more

Photons can interact with each other in condensed matter by exchanging virtual phonons, via instantaneous Stokes and anti-Stokes Raman scattering. We study this phenomenon and its analogy to the formation of Cooper pairs in superconductivity.

The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement meeting•Jan 1, 2019•1 citation

Physical Properties of Photonic Cooper Pairs Generated via Correlated Stokes–anti‐Stokes Raman Scattering

Filomeno Soares de Aguiar Júnior, Carlos Henrique Monken, Marcelo França Santos +4 more

The theoretical and experimental background for the creation of photonic Cooper pairs (PCPs) via correlated Stokes–anti‐Stokes Raman scattering is introduced, followed by experimental results on the second‐order photon time correlation g2(0) in diamond. It is shown how g2(0) changes with energy (Stokes–anti‐Stokes Raman shift), momentum (scattering angle) and excitation laser power. Both real and virtual phonon‐mediated scattering processes are addressed.

physica status solidi (b)•Jun 11, 2019•6 citations

Squeezed states of coupled photons and phonons in nanoscale waveguides

Hashem Zoubi

Abstract We investigate the generation of photon–phonon entangled states by exploiting stimulated Brillouin scattering in nanoscale waveguides. The squeezing type Hamiltonian that represents creation and annihilation of photon–phonon pairs is obtained out of the multimode photon–phonon interaction Hamiltonian in the presence of a pump field. The Bogoliubov eigenstates of the Hamiltonian, which are a coherent mix of propagating photons and phonons, show squeezing properties in the uncertainties of the collective quadrature operators. The measurement of the photonic component can provide a controllable source of single phonons in demand.

arXiv:1904.02896•Journal of Optics•May 1, 2019•6 citations
In this paper we theoretically show that counterpart photonic Cooper pairs can be achieved in nanoscale waveguides with radiation pressure effect. We demonstrate that due to Brillouin scattering a Stokes photon and an anti-Stokes one can exchange virtual phonons, leading to an effective photon-photon interaction. The effective interaction Hamiltonian of the two photons is identical to that for electrons in the BCS theory, and the photonic counterpart of the superconducting energy gap can appear. Quite different from the conventional stimulated Brillouin scattering the number of photon pairs can be amplified. The result could be used as a photon-pair laser and might have a possible application in integrated optics and quantum information processing in the future.
The microscopic theory of superconductivity raised the disruptive idea that electrons couple through the elusive exchange of virtual phonons, overcoming the strong Coulomb repulsion to form Cooper pairs. Light is also known to interact with atomic vibrations, as for example in the Raman effect. We show that photon pairs exchange virtual vibrations in transparent media, leading to an effective photon-photon interaction identical to that for electrons in BCS theory of supercondutivity, in spite of the fact that photons are bosons. In this scenario, photons may exchange energy without matching a quantum of vibration of the medium. As a result, pair correlations for photons scattered away from the Raman resonances are expected to be enhanced. Experimental demonstration of this effect is provided here by time correlated Raman measurements in different media. The experimental data confirm our theoretical interpretation of a photonic Cooper pairing, without the need for any fitting parameters.
We show that strong nonlinearities at the few photon level can be achieved in optomechanical nanoscale waveguides. We consider the propagation of photons in cm-scale one-dimensional nanophotonic structures where stimulated Brillouin scattering (SBS) is strongly enhanced by radiation pressure coupling. We introduce a configuration that allows slowing down photons by several orders of magnitude via SBS from sound waves using two pump fields. Slowly propagating photons can then experience strong nonlinear interactions through virtual off-resonant exchange of dispersionless phonons. As a benchmark we identify requirements for achieving a large cross-phase modulation among two counterpropagating photons applicable for photonic quantum gates. Our results indicate that strongly nonlinear quantum optics is possible in continuum optomechanical systems realized in nanophotonic structures.
The microscopic theory of superconductivity raised the disruptive idea that electrons couple through the elusive exchange of virtual phonons, overcoming the strong Coulomb repulsion to form Cooper pairs. Light is also known to interact with atomic vibrations, as, for example, in the Raman effect. We show that photon pairs exchange virtual vibrations in transparent media, leading to an effective photon-photon interaction identical to that for electrons in the BCS theory of superconductivity, in spite of the fact that photons are bosons. In this scenario, photons may exchange energy without matching a quantum of vibration of the medium. As a result, pair correlations for photons scattered away from the Raman resonances are expected to be enhanced. An experimental demonstration of this effect is provided here by time-correlated Raman measurements in different media. The experimental data confirm our theoretical interpretation of a photonic Cooper pairing, without the need for any fitting parameters.
Abstract We investigate the generation of photon–phonon entangled states by exploiting stimulated Brillouin scattering in nanoscale waveguides. The squeezing type Hamiltonian that represents creation and annihilation of photon–phonon pairs is obtained out of the multimode photon–phonon interaction Hamiltonian in the presence of a pump field. The Bogoliubov eigenstates of the Hamiltonian, which are a coherent mix of propagating photons and phonons, show squeezing properties in the uncertainties of the collective quadrature operators. The measurement of the photonic component can provide a controllable source of single phonons in demand.