Efficient Scheme for Time-dependent Thermal Pure Quantum State: Application to the Kitaev Model with Armchair Edges

TL;DR

This paper presents an efficient computational scheme for analyzing time-dependent thermal pure quantum states, applied to the Kitaev model with armchair edges to study spin transport under magnetic perturbations.

Contribution

The paper introduces an improved method for evaluating physical quantities in time-dependent quantum states, specifically applied to the Kitaev model for spin transport analysis.

Findings

Efficient evaluation of spin oscillations induced by magnetic pulses.

Successful application to the Kitaev model with armchair edges.

Demonstration of the scheme's effectiveness in quantum transport simulations.

Abstract

We consider the time-dependent thermal pure quantum state method and introduce the efficient scheme to evaluate the change in physical quantities induced by the time-dependent perturbations, which has been proposed in our previous paper [H. Taguchi et al., Phys. Rev. B 105, 125137 (2022)]. Here, we treat the Kitaev model to consider the Majorana-mediated spin transport, as an example. We demonstrate how efficient our scheme is to evaluate spin oscillations induced by the magnetic field pulse.