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

Relative number squeezing in atomic spontaneous four wave mixing

Marie Bonneau, Jean-Christophe Jaskula, Valentina Krachmalnicoff, Guthrie B. Partridge, Denis Boiron, Christoph Ira Westbrook, Alain Aspect, Piotr Deuar, Karen V. Kheruntsyan

Published Aug 29, 2010• 0 citations
OpenAlex

Related papers

Relative number squeezing by atomic four-wave mixing

Jean-Christophe Jaskula, Valentina Krachmalnicoff, Marie Bonneau +4 more

Bulletin of the American Physical Society•May 26, 2010•0 citations

Relative number squeezing in four wave mixing of matter waves

Denis Boiron, Jean-Christophe Jaskula, Marie Bonneau +6 more

•Jul 1, 2010•0 citations

Atomic four-wave mixing via condensate collisions

A. Perrin, Craig M. Savage, Denis Boiron +3 more

We perform a theoretical analysis of atomic four-wave mixing via a collision of two Bose–Einstein condensates of metastable helium atoms, and compare the results to a recent experiment. We calculate atom–atom pair correlations within the scattering halo produced spontaneously during the collision. We also examine the expected relative number squeezing of atoms on the sphere. The analysis includes first-principles quantum simulations using the positive P -representation method. We develop a unified description of the experimental and simulation results.

arXiv:0712.2145•New Journal of Physics•Apr 30, 2008•43 citations

Theory of cavity-enhanced spontaneous four wave mixing

Karina Garay-Palmett, Yasser Jerónimo-Moreno, Alfred B. U’Ren

In this paper we study the generation of photon pairs through the process of spontaneous four wave mixing (SFWM) in a χ (3) cavity. Our key interest is the generation of photon pairs in a guided-wave configuration—fiber or waveguide—where at least one of the photons in a given pair is matched in frequency and bandwidth to a particular atomic transition, as required for the implementation of photon–atom interfaces. We present expressions, along with plots, for the two-photon joint intensity both in the spectral and temporal domains. We also present expressions for the absolute brightness, along with numerical simulations, and show that the presence of the cavity can result in a flux enhancement relative to an equivalent source without a cavity.

arXiv:1309.2705•Laser Physics•Nov 20, 2012•29 citations

Vector-field quantum model of degenerate four-wave mixing

Seng‐Tiong Ho, Prem Kumar, Jeffrey H. Shapiro

A quantum theory of degenerate four-wave mixing is presented in which the atomic medium consists of stationary four-level atoms, each with three degenerate excited states, and the interacting light beams are allowed to be in different states of polarization. This vector-field theory differs from the scalar-field theory of Reid and Walls [Phys. Rev. A 31, 1622 (1985)] in that there are new atomic variables in the Langevin equations which are related to the induced coherence between the upper atomic states. It is found, for the assumed set of atomic levels, that this seemingly different mechanism of four-wave-mixing gain does not circumvent the degrading effect of spontaneous emission on squeezing obtainable via degenerate four-wave mixing. The theory is applied to both forward and backward degenerate four-wave mixing with nearly collinear geometry, and specialized to the case in which the polarization states of the two pump modes are mutually orthogonal. It is found that for both forward and backward configurations, the range of pump intensity for which squeezing can be achieved in the vector-field case is larger than that in the scalar-field case, and the maximum amount of squeezing obtainable at a particular pump detuning is comparable in both cases.

Physical Review A•Jul 1, 1986•10 citations

Deterministic versus spontaneous process in atomic four wave mixing

Eric Infeld, Marek Trippenbach, Jan Chwedeczuk +2 more

APS•May 1, 2003•0 citations
We perform a theoretical analysis of atomic four-wave mixing via a collision of two Bose–Einstein condensates of metastable helium atoms, and compare the results to a recent experiment. We calculate atom–atom pair correlations within the scattering halo produced spontaneously during the collision. We also examine the expected relative number squeezing of atoms on the sphere. The analysis includes first-principles quantum simulations using the positive P -representation method. We develop a unified description of the experimental and simulation results.
In this paper we study the generation of photon pairs through the process of spontaneous four wave mixing (SFWM) in a χ (3) cavity. Our key interest is the generation of photon pairs in a guided-wave configuration—fiber or waveguide—where at least one of the photons in a given pair is matched in frequency and bandwidth to a particular atomic transition, as required for the implementation of photon–atom interfaces. We present expressions, along with plots, for the two-photon joint intensity both in the spectral and temporal domains. We also present expressions for the absolute brightness, along with numerical simulations, and show that the presence of the cavity can result in a flux enhancement relative to an equivalent source without a cavity.
A quantum theory of degenerate four-wave mixing is presented in which the atomic medium consists of stationary four-level atoms, each with three degenerate excited states, and the interacting light beams are allowed to be in different states of polarization. This vector-field theory differs from the scalar-field theory of Reid and Walls [Phys. Rev. A 31, 1622 (1985)] in that there are new atomic variables in the Langevin equations which are related to the induced coherence between the upper atomic states. It is found, for the assumed set of atomic levels, that this seemingly different mechanism of four-wave-mixing gain does not circumvent the degrading effect of spontaneous emission on squeezing obtainable via degenerate four-wave mixing. The theory is applied to both forward and backward degenerate four-wave mixing with nearly collinear geometry, and specialized to the case in which the polarization states of the two pump modes are mutually orthogonal. It is found that for both forward and backward configurations, the range of pump intensity for which squeezing can be achieved in the vector-field case is larger than that in the scalar-field case, and the maximum amount of squeezing obtainable at a particular pump detuning is comparable in both cases.