Universal Statistics of Topological Defects Formed in a Quantum Phase Transition

Del Campo, Adolfo

doi:10.1103/PhysRevLett.121.200601

Universal Statistics of Topological Defects Formed in a Quantum Phase Transition

Journal Article · Wed Nov 14 04:00:00 EST 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.121.200601· OSTI ID:1489964

Del Campo, Adolfo ^[1]

University of Massachusetts, Boston, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We report when a quantum phase transition is crossed in finite time, critical slowing down leads to the breakdown of adiabatic dynamics and the formation of topological defects. The average density of defects scales with the quench rate following a universal power law predicted by the Kibble-Zurek mechanism. We analyze the full counting statistics of kinks and report the exact kink number distribution in the transverse-field quantum Ising model. Kink statistics is described by the Poisson binomial distribution with all cumulants exhibiting a universal power law scaling with the quench rate. Lastly, in the absence of finite-size effects, the distribution approaches a normal one, a feature that is expected to apply broadly in systems described by the Kibble-Zurek mechanism.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1489964

Report Number(s):: LA-UR-18-28926

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 121; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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