Real-Time Dynamics of a Spin Chain with Dzyaloshinskii-Moriya Interactions: Spiral Formation and Quantum Spin Oscillations

TL;DR

This paper investigates the short-time non-equilibrium dynamics of a spin-1/2 chain with Dzyaloshinskii-Moriya interactions, revealing edge-propagating spin-spirals and quantum oscillations decay, using numerical simulations.

Contribution

It provides a detailed numerical and theoretical analysis of spiral formation and quantum oscillations in a Dzyaloshinskii-Moriya spin chain after a quench.

Findings

Edge-propagating spin-spirals with opposite chiralities observed

Quantum spin oscillations decay asymptotically over time

Numerical simulations match theoretical predictions accurately

Abstract

We studied the non-equilibrium short-time dynamics of a spin-1/2 chain with Dzyaloshinskii-Moriya interactions after a sudden quench by a transverse field. We found that inhomogeneous spin-spirals with opposite chiralities propagate from the edges towards the center of the chain. This propagation is accompanied by quantum spin oscillations which decay asymptotically with time. A theoretical description of this phenomenon is given to a good accuracy with the help of numerical calculations with the adaptive time-dependent density matrix renormalization group algorithm.