Eur. Phys. J. B (2017) 90: 140
https://doi.org/10.1140/epjb/e2017-80174-8

Regular Article

Dynamics in quantum Ising chain driven by inhomogeneous transverse magnetization

¹ Department of Physics, R.R.R. Mahavidyalaya, Radhanagar, Hooghly 712406, India
² Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India

^a e-mail: sirs.bh@gmail.com

Received: 23 March 2017
Received in final form: 21 May 2017
Published online: 24 July 2017

Abstract

We study the dynamics caused by transport of transverse magnetization in one dimensional transverse Ising chain at zero temperature. We observe that a class of initial states having product structure in fermionic momentum-space and satisfying certain criteria, produce spatial variation in transverse magnetization. Starting from such a state, we obtain the transverse magnetization analytically and then observe its dynamics in presence of a homogeneous constant field Γ. In contradiction with general expectation, whatever be the strength of the field, the magnetization of the system does not become homogeneous even after infinite time. At each site, the dynamics is associated with oscillations having two different timescales. The envelope of the larger timescale oscillation decays algebraically with an exponent which is invariant for all such special initial states. The frequency of this oscillation varies differently with external field in ordered and disordered phases. The local magnetization after infinite time also characterizes the quantum phase transition.