Optimally squeezed spin states

Abstract

We consider optimally spin-squeezed states that maximize the sensitivity of the Ramsey spectroscopy, and for which the signal to noise ratio scales as the number of particles $N$. Using the variational principle we prove that these states are eigensolutions of the Hamiltonian $H(\lambda )=\lambda S_z^2-S_x,$ and that, for large $N$, the states become equivalent to the quadrature squeezed states of the harmonic oscillator. We present numerical results that illustrate the validity of the equivalence.

References in corpus (5)

• Entanglement and Extreme Spin Squeezing
• Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling
• Coherent control of spin squeezing
• Atom correlations and spin squeezing near the Heisenberg limit: finite system size effect and decoherence
• Generation of arbitrary Dicke states in spinor Bose-Einstein condensates

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• Relating spin squeezing to multipartite entanglement criteria for particles and modes
• Efficient Paths for Local Counterdiabatic Driving
• Enhanced Photon Squeezing in Two-Photon Dicke Model
• Non-Markovian Dynamics of Spin Squeezing
• Goldilocks Probes for Noisy Interferometry via Quantum Annealing to Criticality
• The Moving Born-Oppenheimer Approximation
• Spin squeezing an ultracold molecule
• Quantum information with conserved quantities