Quantum Spinon Oscillations

TL;DR

This paper explores the quantum dynamics of a spinon under magnetic fields, revealing oscillatory behavior, tunable transport properties, and complex phenomena like resonance and chaos using advanced simulation methods.

Contribution

It demonstrates how spinon dynamics can be understood through a single-particle transport model and shows how external fields influence oscillations and lifetimes.

Findings

Spinon oscillates back and forth without dissipation.

Quantum fluctuations determine finite lifetimes.

Transport and oscillation properties are tunable by external fields.

Abstract

The full quantum dynamics of a spinon under external magnetic fields is investigated by using the time-evolving block decimation (TEBD) method within the microcanonical picture of transport. We show that the center of the spinon oscillates back and forth in the absence of dissipation. The quantum many-body behavior can be understood in a single-particle picture of transport and Bloch oscillations, where quantum fluctuations induce finite life times. Transport, oscillations and lifetimes can be tuned to some degree separately by external fields. Other nontrivial dynamics such as resonance as well as chaos have also been discussed.