Atomic spin squeezing in an optical cavity

Abstract

We consider squeezing of one component of the collective spin vector of an atomic ensemble inside an optical cavity. The atoms interact with a cavity mode, and the squeezing is obtained by probing the state of the light field that is transmitted through the cavity. Starting from the stochastic master equation, we derive the time evolution of the state of the atoms and the cavity field, and we compute expectation values and variances of the atomic spin components and the quadratures of the cavity mode. The performance of the setup is compared to spin squeezing of atoms by probing of a light field transmitted only once through the sample.

8 pages, 2 figures

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• Non-destructive cavity QED probe of Bloch oscillations in a gas of ultracold atoms
• Backaction noise produced via cavity-aided nondemolition measurement of an atomic clock state
• Dynamical programming of continuously observed quantum systems
• Spin-squeezing and Dicke state preparation by heterodyne measurement
• Estimation of classical parameters via continuous probing of complementary quantum observables
• Persistent spin squeezing of dissipative Lipkin-Meshkov-Glick Model embedded in a general thermal environment
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• Spin squeezing via one- and two-axis twisting induced by a single off-resonance stimulated Raman scattering in a cavity
• Conditional control of quantum beats in a cavity QED system
• Two-axis spin squeezing in two cavities