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Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition
Published
Author(s)
Arghavan Safavi-Naini, R. J. Lewis-Swan, Justin G. Bohnet, M. Garttner, Kevin Gilmore, Elena Jordan, J. Cohn, James K. Freericks, Ana Maria Rey, John Bollinger
Abstract
We use a self-assembled two-dimensional Coulomb crystal of ∼70 ions in the presence of an external transverse field to engineer a simulator of the Dicke Hamiltonian, an iconic model in quantum optics which features a quantum phase transition between a superradiant (ferromagnetic) and a normal (paramagnetic) phase. We experimentally implement slow quenches across the quantum critical point and benchmark the dynamics and the performance of the simulator through extensive theory-experiment comparisons which show excellent agreement. The implementation of the Dicke model in fully controllable trapped ion arrays can open a path for the generation of highly entangled states useful for enhanced metrology and the observation of scrambling and quantum chaos in a many-body system.
Safavi-Naini, A.
, Lewis-Swan, R.
, Bohnet, J.
, Garttner, M.
, Gilmore, K.
, Jordan, E.
, Cohn, J.
, Freericks, J.
, Rey, A.
and Bollinger, J.
(2018),
Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition, Physical Review Letters, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=926993
(Accessed October 9, 2025)