The four-wave mixing susceptibility χ(3)(ω1, ω1, -ω2) of a system of two-level atoms driven by weak external fields of frequencies ω1 and ω2 in a high-Q cavity is evaluated in the presence of atomic collisions. That susceptibility exhibits resonances corresponding to dipole-allowed transitions between the first two excited manifolds of the dressed states and the ground state and also the collision-induced Bloembergen resonances. The resonances corresponding to transitions between the first two manifolds of excited states that characterize the quantum and nonlinear nature of the atom–field interaction are, however, flattened in the absence of collisions. The collisions thus induce the quantum effects in four-wave mixing in a high-Q cavity.The four-wave mixing susceptibility χ(3)(ω1, ω1, -ω2) of a system of two-level atoms driven by weak external fields of frequencies ω1 and ω2 in a high-Q cavity is evaluated in the presence of atomic collisions. That susceptibility exhibits resonances corresponding to dipole-allowed transitions between the first two excited manifolds of the dressed states and the ground state and also the collision-induced Bloembergen resonances. The resonances corresponding to transitions between the first two manifolds of excited states that characterize the quantum and nonlinear nature of the atom–field interaction are, however, flattened in the absence of collisions. The collisions thus induce the quantum effects in four-wave mixing in a high-Q cavity.

Journal of the Optical Society of America BJun 1, 19972 citations

Resonant intracavity four-wave mixing in a composite atom–cavity system

Haitao Zhou, Yu‐Hong Han, Shaona Che +2 more

Optics CommunicationsMay 10, 20182 citations

Four-wave mixing response in a hybrid atom-optomechanical system

Xiaofang Wang, Bin Chen

We study the four-wave mixing (FWM) effect in a hybrid atom-optomechanical system, which is composed of an ensemble of two-level atoms trapped inside an optical cavity and a moveable cavity mirror serving as a mechanical resonator. It is shown that the FWM signal in this hybrid system can be significantly enhanced due to the coupling between the optical cavity and the atom ensemble. The larger the atom-cavity coupling strength is, the stronger the FWM will be. More interestingly, the FWM signal can be effectively modulated by the atom-pump detuning. It is demonstrated that, just by tuning this detuning to be positive or negative, the FWM signal can be easily switched on or off for the zero probe-pump detuning case. The obtained results may have potential applications in all-optical wavelength convertors, all-optical switches, or other optical devices.We study the four-wave mixing (FWM) effect in a hybrid atom-optomechanical system, which is composed of an ensemble of two-level atoms trapped inside an optical cavity and a moveable cavity mirror serving as a mechanical resonator. It is shown that the FWM signal in this hybrid system can be significantly enhanced due to the coupling between the optical cavity and the atom ensemble. The larger the atom-cavity coupling strength is, the stronger the FWM will be. More interestingly, the FWM signal can be effectively modulated by the atom-pump detuning. It is demonstrated that, just by tuning this detuning to be positive or negative, the FWM signal can be easily switched on or off for the zero probe-pump detuning case. The obtained results may have potential applications in all-optical wavelength convertors, all-optical switches, or other optical devices.

Journal of the Optical Society of America BJan 2, 201915 citations

Four-Wave Mixing Processes in Atom Optics

Heurich, Jan-Erik, Heurich, Jan-Erik

Jan 1, 20000 citations

Atom-Field Interaction in a Standing-Wave Cavity

Sun-Hyun Youn, Young-Tak Chough, Kyoungwon An

Journal of the Korean Physical SocietyNov 1, 20002 citations

Quantum effects in four-wave mixing in a cavity

Ravinder Rupchand Puri, Aditi Ray

The four-wave-mixing signal at $2{\ensuremath{\omega}}_{1}\ensuremath{-}{\ensuremath{\omega}}_{2}$ from a collective system of $N$ two-level atoms dissipating through spontaneous emission and dephasing and driven by weak external fields of frequencies ${\ensuremath{\omega}}_{1}$ and ${\ensuremath{\omega}}_{2}$ in a cavity of arbitrary $Q$ is found by evaluating exactly the susceptibility ${\ensuremath{\chi}}^{(3)}({\ensuremath{\omega}}_{1},{\ensuremath{\omega}}_{1},\ensuremath{-}{\ensuremath{\omega}}_{2})$. The exact results show that the customarily employed secular approximation for treating the problem of a strongly coupled atom-cavity system is hopelessly inadequate for describing the process of four-wave mixing.The four-wave-mixing signal at $2{\ensuremath{\omega}}_{1}\ensuremath{-}{\ensuremath{\omega}}_{2}$ from a collective system of $N$ two-level atoms dissipating through spontaneous emission and dephasing and driven by weak external fields of frequencies ${\ensuremath{\omega}}_{1}$ and ${\ensuremath{\omega}}_{2}$ in a cavity of arbitrary $Q$ is found by evaluating exactly the susceptibility ${\ensuremath{\chi}}^{(3)}({\ensuremath{\omega}}_{1},{\ensuremath{\omega}}_{1},\ensuremath{-}{\ensuremath{\omega}}_{2})$. The exact results show that the customarily employed secular approximation for treating the problem of a strongly coupled atom-cavity system is hopelessly inadequate for describing the process of four-wave mixing.

Physical Review AMay 1, 19983 citations

The four-wave-mixing signal at $2{\ensuremath{\omega}}_{1}\ensuremath{-}{\ensuremath{\omega}}_{2}$ from a collective system of

N

two-level atoms dissipating through spontaneous emission and dephasing and driven by weak external fields of frequencies ${\ensuremath{\omega}}_{1}$ and ${\ensuremath{\omega}}_{2}$ in a cavity of arbitrary

Q

is found by evaluating exactly the susceptibility ${\ensuremath{\chi}}^{(3)}({\ensuremath{\omega}}_{1},{\ensuremath{\omega}}_{1},\ensuremath{-}{\ensuremath{\omega}}_{2})$. The exact results show that the customarily employed secular approximation for treating the problem of a strongly coupled atom-cavity system is hopelessly inadequate for describing the process of four-wave mixing.