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Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition

TitleVerification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition
Publication TypeJournal Article
Year of Publication2018
AuthorsSafavi-Naini, A, Lewis-Swan, RJ, Bohnet, JG, Gärttner, M, Gilmore, KA, Jordan, JE, Cohn, J, Freericks, JK, Rey, AM, Bollinger, JJ
JournalPhysical Review Letters
Volume121
Issue4
Date Published2018-07
ISSN0031-9007
Keywordsquantum benchmarking, quantum simulation
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.

URLhttps://journals.aps.org/prl/pdf/10.1103/PhysRevLett.121.040503
DOI10.1103/PhysRevLett.121.040503

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