Planar squeezing by quantum non-demolition measurement in cold atomic ensembles

Abstract

Planar squeezed states, i.e. quantum states which are squeezed in two orthogonal spin components, have recently attracted attention due to their applications in atomic interferometry and quantum information [Q. Y. He et al, New J. Phys. 14, 093012 (2012)]. While canonical variables such as quadratures of the radiation field can be squeezed in at most one component, simultaneous squeezing in two orthogonal spin components can be achieved due to the angular momentum commutation relations. We present a novel scheme for planar squeezing via quantum non-demolition (QND) measurements in spin-1 systems. The QND measurement is achieved via near-resonant paramagnetic Faraday rotation probing, and the planar squeezing is obtained by sequential QND measurement of two orthogonal spin components. We compute the achievable squeezing for a variety of optical depths, initial conditions, and probing strategies. The planar squeezed states generated in this way contain entanglement detectable by spin-squeezing inequalities and give an advantage relative to non-squeezed states for any precession phase angle, a benefit for single-shot and high-bandwidth magnetometry.

14 pages, 6 figures

References in corpus (10)

• Quantum memory for squeezed light
• Squeezed-Light Optical Magnetometry
• Quantum engineering of squeezed states for quantum communication and metrology
• Certified quantum non-demolition measurement of a macroscopic material system
• Rubidium resonant squeezed light from a diode-pumped optical-parametric oscillator
• Quantum atom-light interfaces in the gaussian description for spin-1 systems
• Conditions for spin squeezing in a cold 87Rb ensemble
• Planar squeezing by quantum non-demolition measurement in cold atomic ensembles
• Towards quantum state tomography of a single polariton state of an atomic ensemble
• Optical spin squeezing: bright beams as high-flux entangled photon sources

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