Spin-squeezing and Dicke state preparation by heterodyne measurement

Abstract

We investigate the quantum non-demolition (QND) measurement of an atomic population based on a heterodyne detection and show that the induced back-action allows to prepare both spin-squeezed and Dicke states. We use a wavevector formalism to describe the stochastic process of the measurement and the associated atomic evolution. Analytical formulas of the atomic distribution momenta are derived in the weak coupling regime both for short and long time behavior, and they are in good agreement with those obtained by a Monte-Carlo simulation. The experimental implementation of the proposed heterodyne detection scheme is discussed. The role played in the squeezing process by the spontaneous emission is considered.

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• Quantum metrology with mixed states: When recovering lost information is better than never losing it
• Feedback control of trapped coherent atomic ensembles
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• Quantum Fisher Information as a Predictor of Decoherence in the Preparation of Spin-Cat States for Quantum Metrology
• Creating a tunable spin squeezing via a time-dependent collective atom-photon coupling
• Efficient preparation of Dicke states
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• Entanglement witness via symmetric two-body correlations
• Inherent quantum resources in stationary spin chains
• Feedback control of coherent spin states using weak nondestructive measurements
• Quantum states preparation of an atomic ensemble via cavity-assisted homodyne measurement