One Component Dynamical Equation and Noise Induced Adiabaticity

TL;DR

This paper derives a one-component dynamical equation for quantum systems, revealing that white noise can unexpectedly enhance adiabaticity and potentially shorten quantum processes.

Contribution

It introduces a novel integro-differential equation using Feshbach partitioning and uncovers noise-induced adiabaticity, a phenomenon not previously understood.

Findings

White noise can enhance and induce adiabaticity.

The derived equation accurately tracks the target eigenstate.

White noise can shorten the duration of quantum processes.

Abstract

The adiabatic theorem addresses the dynamics of a target instantaneous eigenstate of a time-dependent Hamiltonian. We use a Feshbach P-Q partitioning technique to derive a closed one-component integro-differential equation. The resultant equation properly traces the footprint of the target eigenstate. The physical significance of the derived dynamical equation is illustrated by both general analysis and concrete examples. Surprisingly, we find an anomalous phenomenon showing that a dephasing white noise can enhance and even induce adiabaticity. This new phenomenon may naturally occur in many physical systems. We also show that white noises can also shorten the total duration of dynamic processes such as adiabatic quantum computing.