Decoherence of one-dimensional electron system

TL;DR

This paper investigates decoherence in a one-dimensional electron system coupled with phonons, revealing a metal-insulator transition affecting coherence time and demonstrating that Bang-Bang control can recover coherence.

Contribution

It introduces a study of decoherence in 1D electron systems with phonon coupling and shows how Bang-Bang control can restore coherence.

Findings

Metal-insulator transition affects coherence time

Electron interaction reduces coherence time

Bang-Bang control recovers coherence

Abstract

Recently, there have been many attempts to implement quantum computation experimentally. For this purpose, quantum coherence should be maintained during gate operations. Therefore, the control of decoherence is a very important problem. In present study, we examine the decoherence of one-dimensional electron system, which coupled with acoustic phonon. The time-dependent Hatree-Fock approximation is applied for electron system, the Schroinger equation is applied for phonon.The metal-insulator transition found for coherence time. The results are the election interaction reduces the coherence time. We also exmined the Bang-Bang control, the results shows recovery of coherence.