Quench Dynamics of Quantum and Classical Ising Chains: From the Viewpoint of the Kibble–Zurek Mechanism

Suzuki, Sei

doi:10.1007/978-3-642-11470-0_5

Cited by 1 publication

(2 citation statements)

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“…Our work could be extended to probe systems with topological order in which defect formation has been predicted to be anomalous [46]. We anticipate that the universal features of the full counting statistics of topological defects may be used in the error analysis of adiabatic quantum annealers, where the Kibble-Zurek mechanism already provides useful heuristics [10].…”

Section: Discussionmentioning

confidence: 96%

“…Essentially, the KZM is a statement about the breakdown of the adiabatic dynamics across a critical point. As such, it provides useful heuristics for the preparation of ground-state phases of matter in the laboratory, e.g., in quantum simulation and adiabatic quantum computation [10]. It has spurred a wide variety of experimental efforts in superfluid Helium [11,12,13], liquid crystals [14,15], convective fluids [16,17], superconducting rings [18,19,20], trapped-ions [21,22,23], colloids [24], and ultracold atoms [25,26,27,28,29], to name some relevant examples.…”

Section: Introductionmentioning

confidence: 99%

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Experimentally testing quantum critical dynamics beyond the Kibble–Zurek mechanism

et al. 2020

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We experimentally probe the distribution of kink pairs resulting from driving a one-dimensional quantum Ising chain through the paramagnet-ferromagnet quantum phase transition, using a single trapped ion as a quantum simulator in momentum space. The number of kink pairs after the transition follows a Poisson binomial distribution, in which all cumulants scale with a universal power-law as a function of the quench time in which the transition is crossed. We experimentally verified this scaling for the first cumulants and report deviations due to noiseinduced dephasing of the trapped ion. Our results establish that the universal character of the critical dynamics can be extended beyond the paradigmatic Kibble-Zurek mechanism, which accounts for the mean kink number, to characterize the full probability distribution of topological defects.

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Section: Discussionmentioning

confidence: 96%