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Nonequilibrium Dynamic Critical Scaling of the Quantum Ising Chain

Author(s): Kolodrubetz, Michael; Clark, Bryan K; Huse, David A

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Abstract: We solve for the time-dependent finite-size scaling functions of the one-dimensional transverse-field Ising chain during a linear-in-time ramp of the field through the quantum critical point. We then simulate Mott-insulating bosons in a tilted potential, an experimentally studied system in the same equilibrium universality class, and demonstrate that universality holds for the dynamics as well. We find qualitatively athermal features of the scaling functions, such as negative spin correlations, and we show that they should be robustly observable within present cold atom experiments.
Publication Date: Jul-2012
Electronic Publication Date: 2-Jul-2012
Citation: Kolodrubetz, Michael, Clark, Bryan K, Huse, David A. (2012). Nonequilibrium Dynamic Critical Scaling of the Quantum Ising Chain. Physical Review Letters, 109 (1), 10.1103/PhysRevLett.109.015701
DOI: doi:10.1103/PhysRevLett.109.015701
ISSN: 0031-9007
EISSN: 1079-7114
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review Letters
Version: Author's manuscript



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