Generalised Dicke non-equilibrium dynamics in trapped ions

Abstract

We explore trapped ions as a setting to investigate non-equilibrium phases in a generalised Dicke model of dissipative spins coupled to phonon modes. We find a rich dynamical phase diagram including superradiant-like regimes, dynamical phase-coexistence and phonon-lasing behaviour. 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 realisation with Ca+ ions trapped in a linear Paul trap.

6 pages, 5 figures

References in corpus (9)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Dissipative Phase Transition in Central Spin Systems
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Collective Dynamics of Bose--Einstein Condensates in Optical Cavities
• Structural defects in ion crystals by quenching the external potential: the inhomogeneous Kibble-Zurek mechanism
• Coherent control of trapped ions using off-resonant lasers
• Spontaneous nucleation of structural defects in inhomogeneous ion chains
• Doppler cooling of calcium ions using a dipole-forbidden transition

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