scholarly journals Quantum quench in the transverse field Ising chain: I. Time evolution of order parameter correlators

2012 ◽  
Vol 2012 (07) ◽  
pp. P07016 ◽  
Author(s):  
Pasquale Calabrese ◽  
Fabian H L Essler ◽  
Maurizio Fagotti
Keyword(s):  
Time Evolution ◽  
Order Parameter ◽  
Transverse Field ◽  
Ising Chain ◽  
Quantum Quench

scholarly journals Quantum Quench in the Transverse-Field Ising Chain

2011 ◽  
Vol 106 (22) ◽  
Author(s):  
Pasquale Calabrese ◽  
Fabian H. L. Essler ◽  
Maurizio Fagotti
Keyword(s):  
Transverse Field ◽  
Ising Chain ◽  
Quantum Quench

scholarly journals Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain

2016 ◽  
Vol 1 (1) ◽  
Author(s):  
Tatjana Puskarov ◽  
Dirk Schuricht
Keyword(s):  
Time Evolution ◽  
Finite Time ◽  
Transverse Field ◽  
Transverse Magnetic ◽  
Ising Chain ◽  
Continuous Change ◽  
Time Quantum ◽  
Quantum Quenches ◽  
Point Correlation ◽  
Loschmidt Echo

We study the time evolution in the transverse-field Ising chain subject to quantum quenches of finite duration, ie, a continuous change in the transverse magnetic field over a finite time. Specifically, we consider the dynamics of the total energy, one- and two-point correlation functions and Loschmidt echo during and after the quench as well as their stationary behaviour at late times. We investigate how different quench protocols affect the dynamics and identify universal properties of the relaxation.

Study of the time evolution of correlation functions of the transverse Ising chain with ring frustration by perturbative theory

2018 ◽  
Vol 32 (10) ◽  
pp. 1850121
Author(s):  
Zhen-Yu Zheng ◽  
Peng Li
Keyword(s):  
Correlation Function ◽  
Schrödinger Equation ◽  
Time Evolution ◽  
Correlation Functions ◽  
Schrodinger Equation ◽  
Transverse Field ◽  
Time Dependent ◽  
Ising Chain ◽  
Point Correlation ◽  
Point Correlation Function

We consider the time evolution of two-point correlation function in the transverse-field Ising chain (TFIC) with ring frustration. The time-evolution procedure we investigated is equivalent to a quench process in which the system is initially prepared in a classical kink state and evolves according to the time-dependent Schrödinger equation. Within a framework of perturbative theory (PT) in the strong kink phase, the evolution of the correlation function is disclosed to demonstrate a qualitatively new behavior in contrast to the traditional case without ring frustration.

Thermodynamics and spin correlations for an Ising chain in a random transverse field

1997 ◽  
Vol 76 (5) ◽  
pp. 855-858
Author(s):  
Oleg Derzhko ◽  
Taras Krokhmalskii ◽  
Taras Verkholyak
Keyword(s):  
Transverse Field ◽  
Ising Chain ◽  
Spin Correlations
Sign in / Sign up

Export Citation Format

Share Document