Ballistic propagation of a local impact in the one-dimensional $XY$ model
| Autor: | Atsuki Yoshinaga |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Physics Asymptotic analysis Quantum Physics Strongly Correlated Electrons (cond-mat.str-el) Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences Statistical and Nonlinear Physics Classical XY model 01 natural sciences Power law 010305 fluids & plasmas Condensed Matter - Strongly Correlated Electrons 0103 physical sciences Quasiparticle Group velocity Statistics Probability and Uncertainty 010306 general physics Ground state Anisotropy Quantum Physics (quant-ph) Condensed Matter - Statistical Mechanics Spin-½ Mathematical physics |
| Popis: | Light-cone-like propagation of information is a universal phenomenon of nonequilibrium dynamics of integrable spin systems. In this paper, we investigate propagation of a local impact in the one-dimensional $XY$ model with the anisotropy $\gamma$ in a magnetic field $h$ by calculating the magnetization profile. Applying a local and instantaneous unitary operation to the ground state, which we refer to as the local-impact protocol, we numerically observe various types of light-cone-like propagation in the parameter region $0\leq\gamma\leq1$ and $0\leq h \leq2$ of the model. By combining numerical integration with an asymptotic analysis, we find the following: (i) for $|h|\geq|1-\gamma^{2}|$ except for the case on the line $h=1$ with $0 Comment: 29 pages, 9 figures; version 4: typos collected. Published in J. Stat. Mech |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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