Four-Wave Mixing With Multiple Spin States

We calculate the four-wave mixing (FWM) in a Bose-Einstein condensate system having multiple spin wave packets that are initially overlapping in physical space, but have nonvanishing relative momentum that causes them to recede from one another. Three receding condensate atom wave packets can result in production of a fourth wave packet by the process of FWM due to atom-atom interactions. We consider cases where the four final wave packets are composed of one, two, three, and four different internal spin components. FWM with one or two-spin state wave packets is much stronger than three- or four-spin state FWM, wherein two of the coherent moving Bose-Einstein condensate wave packets form a spin-polarization grating that rotates the spin projection of the third wave into that of the fourth diffracted wave (as opposed to the one- or two-spin state case where a regular density grating is responsible for the diffraction). Calculations of FWM for $^{87}\mathrm{Rb}$ and $^{23}\mathrm{Na}$ condensate systems are presented.We calculate the four-wave mixing (FWM) in a Bose-Einstein condensate system having multiple spin wave packets that are initially overlapping in physical space, but have nonvanishing relative momentum that causes them to recede from one another. Three receding condensate atom wave packets can result in production of a fourth wave packet by the process of FWM due to atom-atom interactions. We consider cases where the four final wave packets are composed of one, two, three, and four different internal spin components. FWM with one or two-spin state wave packets is much stronger than three- or four-spin state FWM, wherein two of the coherent moving Bose-Einstein condensate wave packets form a spin-polarization grating that rotates the spin projection of the third wave into that of the fourth diffracted wave (as opposed to the one- or two-spin state case where a regular density grating is responsible for the diffraction). Calculations of FWM for $^{87}\mathrm{Rb}$ and $^{23}\mathrm{Na}$ condensate systems are presented.

arXiv:cond-mat/0404499Physical Review ASep 21, 20048 citations

Power quantum control of odd-order multiwave mixing in an electromagnetically induced transparency window

Huaibin Zheng, Ning Li, Zhaoyang Zhang +4 more

We investigate the power control behavior of odd-order multiwave mixing in an electromagnetically induced transparency window. We successfully obtain the evolution from pure enhancement (bright state), half-enhancement, and half-suppression, to pure suppression (dark state) in a four-wave mixing (FWM) channel. The correlations of two bright and two dark states of FWM are studied under four different kinds of power configurations. Moreover, the power-controlled quantum interference among multiple dark states is also studied in FWM and six-wave mixing channels. Such selective switching among multiple frequency channels could have potential applications in optical switching, optical communication, and quantum information processing.We investigate the power control behavior of odd-order multiwave mixing in an electromagnetically induced transparency window. We successfully obtain the evolution from pure enhancement (bright state), half-enhancement, and half-suppression, to pure suppression (dark state) in a four-wave mixing (FWM) channel. The correlations of two bright and two dark states of FWM are studied under four different kinds of power configurations. Moreover, the power-controlled quantum interference among multiple dark states is also studied in FWM and six-wave mixing channels. Such selective switching among multiple frequency channels could have potential applications in optical switching, optical communication, and quantum information processing.

Journal of the Optical Society of America BMay 9, 20141 citation

Nonclassical states generated via four-wave mixing

J. Bajer

Czechoslovak Journal of PhysicsJun 1, 19901 citation

Quantum statistics of four-wave mixing

Jan Peřina, Vlasta Peřinová, C. Sibilia +1 more

Optics CommunicationsMar 1, 198457 citations

Nonlinear Optical Signal Processing and Generation of Quantum States using Intermodal Four-wave Mixing

Karsten K. Rottwitt, Mario A. Usuga Castaneda, Erik Nicolai Christensen +2 more

The strong interest in space-division multiplexing of classical communication signals has resulted in development of optical fibers that support propagation of multiple modes. This has paved the way for progress in signal processing using multiple modes and four-wave mixing between these. More specifically, careful design and knowledge of optical properties of individual modes enables phase matching in four-wave mixing that is otherwise not possible with single-mode fibers. This enables signal processing using four-wave mixing between higher-order modes for e.g. frequency conversion over a wide bandwidth. In addition, processing and creation of quantum states has also been demonstrated using four-wave mixing, including generation of photon pairs. In this work we review recent progress in signal processing and generation of quantum states using four-wave mixing.The strong interest in space-division multiplexing of classical communication signals has resulted in development of optical fibers that support propagation of multiple modes. This has paved the way for progress in signal processing using multiple modes and four-wave mixing between these. More specifically, careful design and knowledge of optical properties of individual modes enables phase matching in four-wave mixing that is otherwise not possible with single-mode fibers. This enables signal processing using four-wave mixing between higher-order modes for e.g. frequency conversion over a wide bandwidth. In addition, processing and creation of quantum states has also been demonstrated using four-wave mixing, including generation of photon pairs. In this work we review recent progress in signal processing and generation of quantum states using four-wave mixing.

International Conference on Transparent Optical NetworksJul 1, 20181 citation

^{87}\mathrm{Rb}

and

^{23}\mathrm{Na}

condensate systems are presented.