Abstract
We explore trapped ions as a setting to investigate nonequilibrium phases in a generalized Dicke model of dissipative spins coupled to phonon modes. We find a rich dynamical phase diagram including superradiantlike regimes, dynamical phase coexistence, and phonon-lasing behavior. A particular advantage of trapped ions is that these phases and transitions among them can be probed in situ through fluorescence. We demonstrate that the main physical insights are captured by a minimal model and consider an experimental realization with Ca+ ions trapped in a linear Paul trap with a dressing scheme to create effective two-level systems with a tunable dissipation rate.
Highlights
The exploration and the understanding of the equilibrium and in particular the non-equilibrium behaviour [1,2,3,4,5,6] of quantum many-body systems is of great current interest
We find a rich dynamical phase diagram including superradiant-like regimes, dynamical phase-coexistence and phonon-lasing behaviour
We demonstrate that the main physical insights are captured by a minimal model and consider an experimental realisation with Ca+ ions trapped in a linear Paul trap
Summary
The exploration and the understanding of the equilibrium and in particular the non-equilibrium behaviour [1,2,3,4,5,6] of quantum many-body systems is of great current interest. We explore trapped ions as a setting to investigate non-equilibrium phases in a generalised Dicke model of dissipative spins coupled to phonon modes. The Dicke model features a continuous quantum phase transition at critical coupling between the spins and oscillator degrees of freedom.
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