Nondegenerate four-wave-mixing (fwm) is a process by which one or two pump fields generate two signal beams, with conservation of the total photon energy and momentum. The signal beams can be distinguished by their frequency, or by their wave vector, or by their polarization. When the nonlinear medium which creates the fwm process is contained in a resonant cavity, the signal generation is caused by an instability, because the signal fields experience gain (fwm gain), and when this gain overcomes the cavity losses the signal beams build up. This chapter discusses several static and dynamical instabilities which arise from nondegenerate fwm. It considers a cavity with plane mirrors and examines the properties of quantum noise reduction which arise in the intensity difference between the signal beams generated by the fwm process. The chapter illustrates the problem of Gauss-Laguerre transverse modes in a ring cavity with spherical mirrors.Nondegenerate four-wave-mixing (fwm) is a process by which one or two pump fields generate two signal beams, with conservation of the total photon energy and momentum. The signal beams can be distinguished by their frequency, or by their wave vector, or by their polarization. When the nonlinear medium which creates the fwm process is contained in a resonant cavity, the signal generation is caused by an instability, because the signal fields experience gain (fwm gain), and when this gain overcomes the cavity losses the signal beams build up. This chapter discusses several static and dynamical instabilities which arise from nondegenerate fwm. It considers a cavity with plane mirrors and examines the properties of quantum noise reduction which arise in the intensity difference between the signal beams generated by the fwm process. The chapter illustrates the problem of Gauss-Laguerre transverse modes in a ring cavity with spherical mirrors.

CRC Press eBooksMay 4, 20183 citations

Quantum Noise Measurements in Degenerate Four-Wave Mixing

Prem Kumar, Roy S. Bondurant, Jeffrey H. Shapiro +1 more

Springer eBooksJan 1, 19840 citations

Strong low-frequency quantum correlations from a four-wave-mixing amplifier

Colin F. McCormick, Alberto M. Marino, Vincent Boyer +1 more

Using a simple scheme based on nondegenerate four-wave mixing in a hot vapor, we generate bright twin beams which display a quantum noise reduction in the intensity difference of more than $8\phantom{\rule{0.3em}{0ex}}\mathrm{dB}$ . The absence of a cavity makes the system immune to external perturbations, and strong quantum noise reduction is observed at frequencies as low as $4.5\phantom{\rule{0.3em}{0ex}}\mathrm{kHz}$ and over a large frequency range.Using a simple scheme based on nondegenerate four-wave mixing in a hot vapor, we generate bright twin beams which display a quantum noise reduction in the intensity difference of more than $8\phantom{\rule{0.3em}{0ex}}\mathrm{dB}$. The absence of a cavity makes the system immune to external perturbations, and strong quantum noise reduction is observed at frequencies as low as $4.5\phantom{\rule{0.3em}{0ex}}\mathrm{kHz}$ and over a large frequency range.

arXiv:quant-ph/0703111Physical Review AOct 15, 2008265 citations

Using a simple scheme based on nondegenerate four-wave mixing in a hot vapor, we generate bright twin beams which display a quantum noise reduction in the intensity difference of more than

8\phantom{\rule{0.3em}{0ex}}\mathrm{dB}

. The absence of a cavity makes the system immune to external perturbations, and strong quantum noise reduction is observed at frequencies as low as

4.5\phantom{\rule{0.3em}{0ex}}\mathrm{kHz}

and over a large frequency range.