33_spinsq
Strongly Enhanced Spin Squeezing via Quantum Control
Collin M. Trail, Poul S. Jessen, and Ivan H. Deutsch
Center for Quantum Information and Control (CQuIC) and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico, USA, CQuIC and College of Optical Sciences and Department of Physics, University of Arizona, Tuscon, Arizona, USA
We describe a new approach to spin squeezing based on a double-pass Faraday interaction between an optical probe and an optically dense atomic sample. A quantum eraser is used to remove residual spin- probe entanglement, thereby realizing a single-axis twisting unitary map on the collective spin. This interaction can be phase matched, resulting in exponential enhancement of squeezing as a function of optical density for times short compared to the decoherence time. In practice the scaling and peak squeezing depends on decoherence, technical loss, and noise. Including these imperfections, our model indicates that ~10 dB of squeezing should be achievable with laboratory parameters.