Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition
Arghavan Safavi-Naini,Robert J. Lewis-Swan,Justin G. Bohnet,Martin Gärttner,Martin Gärttner,Kevin Gilmore,Judith Elena Jordan,Jeffrey Cohn,James Freericks,Ana Maria Rey,John J. Bollinger +10 more
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TLDR
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.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.read more
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Trapped-ion quantum computing: Progress and challenges
TL;DR: In this article, the authors review the state of the field of trapped ion quantum computing and discuss what is being done, and what may be required, to increase the scale of trapped ions quantum computers while mitigating decoherence and control errors.
Journal ArticleDOI
Programmable quantum simulations of spin systems with trapped ions
Christopher Monroe,Wesley C. Campbell,Luming Duan,Zhe-Xuan Gong,Alexey V. Gorshkov,Paul Hess,Rajibul Islam,Kihwan Kim,Norbert M. Linke,Guido Pagano,Philip Richerme,Crystal Senko,Norman Y. Yao +12 more
TL;DR: Monroe et al. as discussed by the authors used a laser-cooled and trapped atomic ions for the simulation of interacting quantum spin models, where effective spins are represented by appropriate internal energy levels within each ion, and the spins can be measured with near-perfect efficiency using state-dependent fluorescence techniques.
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Trapped-Ion Quantum Computing: Progress and Challenges
TL;DR: The state of the field is reviewed, covering the basics of how trapped ions are used for QC and their strengths and limitations as qubits and the outlook for trapped-ion QC is explored.
Journal ArticleDOI
Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
Jorge Chávez-Carlos,B. López-del-Carpio,Miguel A. Bastarrachea-Magnani,Pavel Stránský,Sergio Lerma-Hernández,Lea F. Santos,Jorge G. Hirsch +6 more
TL;DR: The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as a quantum signature of classical chaos and is studied in the Dicke model, where two-level atoms cooperatively interact with a quantized radiation field.
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Unifying scrambling, thermalization and entanglement through measurement of fidelity out-of-time-order correlators in the Dicke model.
TL;DR: It is demonstrated that fidelity out-of-time-order correlators (FOTOCs) can elucidate connections between scrambling, entanglement, ergodicity and quantum chaos (butterfly effect) and establish quantitative relationships between experimentally-measureable correlators, the Rényi entropy and Lyapunov exponents in the Dicke model.
References
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Journal ArticleDOI
Coherence in Spontaneous Radiation Processes
TL;DR: In this article, the authors considered a radiating gas as a single quantum-mechanical system, and the energy levels corresponding to certain correlations between individual molecules were described, where spontaneous emission of radiation in a transition between two such levels leads to the emission of coherent radiation.
Journal ArticleDOI
Manipulating quantum entanglement with atoms and photons in a cavity
TL;DR: The concept of entanglement plays an essential role in quantum physics as mentioned in this paper, and it is also essential to understand decoherence, the process accounting for the classical appearance of the macroscopic world.
Journal ArticleDOI
A bound on chaos
TL;DR: In this paper, a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom is given, based on plausible physical assumptions, establishing this conjecture.
Journal ArticleDOI
Black holes and the butterfly effect
TL;DR: In this article, the authors used holography to study sensitive dependence on initial conditions in strongly coupled field theories and showed that the effect of the early infalling quanta relative to the t = 0 slice creates a shock wave that destroys the local two-sided correlations present in the unperturbed state.