Time-rescaled quantum dynamics as a shortcut to adiabaticity

The design of quantum control methods has been shown to greatly improve the performance of many evolving quantum technologies. To this end, the usage of adiabatic dynamics to drive quantum systems is seriously limited by the action of environment-induced noise and decoherence. In this spirit, fast q...

Full description

Bibliographic Details
Main Author: Bertúlio de Lima Bernardo
Format: Article
Language:English
Published: American Physical Society 2020-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.013133
_version_ 1797211531142758400
author Bertúlio de Lima Bernardo
author_facet Bertúlio de Lima Bernardo
author_sort Bertúlio de Lima Bernardo
collection DOAJ
description The design of quantum control methods has been shown to greatly improve the performance of many evolving quantum technologies. To this end, the usage of adiabatic dynamics to drive quantum systems is seriously limited by the action of environment-induced noise and decoherence. In this spirit, fast quantum processes known as shortcuts to adiabaticity have been developed as alternatives to adiabatic protocols with a myriad of potential applications. Here, we develop a new state-independent mechanism to speed up the evolution of an arbitrary quantum dynamical system by simply rescaling the time of a reference driving process, an approach which can also work as a shortcut to adiabaticity. Our findings are illustrated for three systems, namely, the parametric oscillator, the transport of a particle in a harmonic trap, and the spin-1/2 in a magnetic field.
first_indexed 2024-04-24T10:27:58Z
format Article
id doaj.art-5c6a6e020d654d128ba39e7258499280
institution Directory Open Access Journal
issn 2643-1564
language English
last_indexed 2024-04-24T10:27:58Z
publishDate 2020-02-01
publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj.art-5c6a6e020d654d128ba39e72584992802024-04-12T16:49:37ZengAmerican Physical SocietyPhysical Review Research2643-15642020-02-012101313310.1103/PhysRevResearch.2.013133Time-rescaled quantum dynamics as a shortcut to adiabaticityBertúlio de Lima BernardoThe design of quantum control methods has been shown to greatly improve the performance of many evolving quantum technologies. To this end, the usage of adiabatic dynamics to drive quantum systems is seriously limited by the action of environment-induced noise and decoherence. In this spirit, fast quantum processes known as shortcuts to adiabaticity have been developed as alternatives to adiabatic protocols with a myriad of potential applications. Here, we develop a new state-independent mechanism to speed up the evolution of an arbitrary quantum dynamical system by simply rescaling the time of a reference driving process, an approach which can also work as a shortcut to adiabaticity. Our findings are illustrated for three systems, namely, the parametric oscillator, the transport of a particle in a harmonic trap, and the spin-1/2 in a magnetic field.http://doi.org/10.1103/PhysRevResearch.2.013133
spellingShingle Bertúlio de Lima Bernardo
Time-rescaled quantum dynamics as a shortcut to adiabaticity
Physical Review Research
title Time-rescaled quantum dynamics as a shortcut to adiabaticity
title_full Time-rescaled quantum dynamics as a shortcut to adiabaticity
title_fullStr Time-rescaled quantum dynamics as a shortcut to adiabaticity
title_full_unstemmed Time-rescaled quantum dynamics as a shortcut to adiabaticity
title_short Time-rescaled quantum dynamics as a shortcut to adiabaticity
title_sort time rescaled quantum dynamics as a shortcut to adiabaticity
url http://doi.org/10.1103/PhysRevResearch.2.013133
work_keys_str_mv AT bertuliodelimabernardo timerescaledquantumdynamicsasashortcuttoadiabaticity