Nonmonotonic dynamics in a frustrated Ising model with time-dependent transverse field

Shu Tanaka, Seiji Miyashita

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We study how the degree of ordering depends on the strength of the thermal and quantum fluctuations in frustrated systems by investigating the correlation function of the order parameter. Concretely, we compare the equilibrium spin correlation function in a frustrated lattice which exhibits a nonmonotonic temperature dependence (reentrant type dependence) with that in the ground state as a function of the transverse field that causes the quantum fluctuation. We find the correlation function in the ground state also shows a nonmonotonic dependence on the strength of the transverse field. We also study the real-time dynamics of the spin-correlation function under a time-dependent field. After sudden decrease in the temperature, we found nonmonotonic changes of the correlation function reflecting the static temperature dependence, which indicates that an effective temperature of the system changes gradually. For the quantum system, we study the dependence of changes of the correlation function on the sweeping speed of the transverse field. Contrary to the classical case, the correlation function varies little in a rapid change of the field, though it shows a nonmonotonic change when we sweep the field slowly.

Original languageEnglish
Article number051138
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume81
Issue number5
DOIs
Publication statusPublished - 2010 May 27
Externally publishedYes

Fingerprint

Ising model
Ising Model
Correlation Function
Transverse
Quantum Fluctuations
Temperature Dependence
Ground State
temperature dependence
Sweeping
ground state
Sweep
Quantum Systems
Order Parameter
Vary
Real-time
Decrease
temperature
causes

ASJC Scopus subject areas

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

Cite this

Nonmonotonic dynamics in a frustrated Ising model with time-dependent transverse field. / Tanaka, Shu; Miyashita, Seiji.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 81, No. 5, 051138, 27.05.2010.

Research output: Contribution to journalArticle

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