Dynamic scaling of fronts in the quantum [Formula presented] chain

V. Hunyadi, Z. Rácz, L. Sasvári

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The dynamics of the transverse magnetization in the zero-temperature [Formula presented] chain is studied with emphasis on fronts emerging from steplike initial magnetization profiles. The fronts move with fixed velocity and display a staircase like internal structure whose dynamic scaling is explored both analytically and numerically. The front region is found to spread with time subdiffusively with the height and the width of the staircase steps scaling as [Formula presented] and [Formula presented], respectively. The areas under the steps are independent of time; thus the magnetization relaxes in quantized “steps” of spin flips.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume69
Issue number6
DOIs
Publication statusPublished - Jan 1 2004

Fingerprint

Dynamic Scaling
Magnetization
stairways
scaling
magnetization
Flip
emerging
Transverse
Scaling
Internal
Zero
profiles
temperature

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

@article{bfc8214ff9ef46a9afc0c326c0375cac,
title = "Dynamic scaling of fronts in the quantum [Formula presented] chain",
abstract = "The dynamics of the transverse magnetization in the zero-temperature [Formula presented] chain is studied with emphasis on fronts emerging from steplike initial magnetization profiles. The fronts move with fixed velocity and display a staircase like internal structure whose dynamic scaling is explored both analytically and numerically. The front region is found to spread with time subdiffusively with the height and the width of the staircase steps scaling as [Formula presented] and [Formula presented], respectively. The areas under the steps are independent of time; thus the magnetization relaxes in quantized “steps” of spin flips.",
author = "V. Hunyadi and Z. R{\'a}cz and L. Sasv{\'a}ri",
year = "2004",
month = "1",
day = "1",
doi = "10.1103/PhysRevE.69.066103",
language = "English",
volume = "69",
journal = "Physical review. E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Dynamic scaling of fronts in the quantum [Formula presented] chain

AU - Hunyadi, V.

AU - Rácz, Z.

AU - Sasvári, L.

PY - 2004/1/1

Y1 - 2004/1/1

N2 - The dynamics of the transverse magnetization in the zero-temperature [Formula presented] chain is studied with emphasis on fronts emerging from steplike initial magnetization profiles. The fronts move with fixed velocity and display a staircase like internal structure whose dynamic scaling is explored both analytically and numerically. The front region is found to spread with time subdiffusively with the height and the width of the staircase steps scaling as [Formula presented] and [Formula presented], respectively. The areas under the steps are independent of time; thus the magnetization relaxes in quantized “steps” of spin flips.

AB - The dynamics of the transverse magnetization in the zero-temperature [Formula presented] chain is studied with emphasis on fronts emerging from steplike initial magnetization profiles. The fronts move with fixed velocity and display a staircase like internal structure whose dynamic scaling is explored both analytically and numerically. The front region is found to spread with time subdiffusively with the height and the width of the staircase steps scaling as [Formula presented] and [Formula presented], respectively. The areas under the steps are independent of time; thus the magnetization relaxes in quantized “steps” of spin flips.

UR - http://www.scopus.com/inward/record.url?scp=85036269037&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85036269037&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.69.066103

DO - 10.1103/PhysRevE.69.066103

M3 - Article

VL - 69

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 6

ER -