4.8 Article

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

Journal

PHYSICAL REVIEW LETTERS
Volume 121, Issue 4, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.121.040503

Keywords

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Funding

  1. Defense Advanced Research Projects Agency (DARPA)
  2. Army Research Office [W911NF-16-1-0576]
  3. NSF [PHY1521080, PHYS-1620555]
  4. JILA-NSF [PFC-173400]
  5. Air Force Office of Scientific Research and its Multidisciplinary University Research Initiative [FA9550-13-1-0086]
  6. DFG Collaborative Research Center [SFB1225]
  7. Leopoldina Research Fellowship, German National Academy of Sciences [LPDS 2016-15]
  8. McDevitt bequest at Georgetown
  9. NIST

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We use a self-assembled two-dimensional Coulomb crystal of similar to 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.

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