Dissipative transverse-field Ising model: steady-state correlations and spin squeezing

Abstract

We study the transverse-field Ising model with infinite-range coupling and spontaneous emission on every site. We find that there is spin squeezing in steady state due to the presence of the transverse field. This means that there is still entanglement, despite the decoherence from spontaneous emission. We analytically calculate fluctuations beyond mean-field theory using a phase-space approach, which involves converting the master equation into a Fokker-Planck equation for the Wigner function. Our calculations are relevant to current experiments with trapped ions.

9 pages, 3 figures

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• Exact solution of the infinite-range dissipative transverse-field Ising model
• Single-Particle Decoherence Can Improve Spin-Squeezing Generated In Collective Dynamics
• Persistent spin squeezing of dissipative Lipkin-Meshkov-Glick Model embedded in a general thermal environment
• Spin Squeezing by means of Driven Superradiance
• Dissipative phase transition: from qubits to qudits
• Singular transport in non-equilibrium strongly internal-coupled 1D tilted field spin-1/2 chain