One-component dynamical equation and noise-induced adiabaticity

Jun Jing, Lian Ao Wu, Ting Yu, J. Q. You, Zhao Ming Wang, Lluc Garcia

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

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. We find an interesting phenomenon showing that a dephasing white noise can enhance and even induce adiabaticity. This phenomenon, distinguishing itself from any artificial control process, may occur in natural physical processes. We also show that particular white noises can shorten the total duration of dynamic processing, such as in adiabatic quantum computing.

Original languageEnglish
Article number032110
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume89
Issue number3
DOIs
StatePublished - 10 Mar 2014

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