{"title":"Shortcut-to-adiabaticity for coupled harmonic oscillators","authors":"Jonas F. G. Santos","doi":"10.1140/epjp/s13360-024-05718-7","DOIUrl":null,"url":null,"abstract":"<div><p>High control in the preparation and manipulation of states is an experimental and theoretical important task in many quantum protocols. Shortcuts to adiabaticity methods allow to obtain desirable states of a adiabatic dynamics but in short time scales. In this work, the problem of considering this technique for two-coupled bosonic modes is addressed. By using symplectic transformations it is possible to decouple the modes and find the driving Hamiltonian that drives the system through a transitionless dynamics in a finite-time regime. Two paradigmatic interactions are discussed, the position-position and the magnetic field couplings. We also illustrate the finding in a concrete example where the nonadiabaticity degree is quantified in terms of the residual energy. Finally, it is shown that the driving Hamiltonian for each case contains local and global contributions, accounting for coherence in the energy basis and entanglement effects, respectively.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":null,"pages":null},"PeriodicalIF":2.8000,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-024-05718-7.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-024-05718-7","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
High control in the preparation and manipulation of states is an experimental and theoretical important task in many quantum protocols. Shortcuts to adiabaticity methods allow to obtain desirable states of a adiabatic dynamics but in short time scales. In this work, the problem of considering this technique for two-coupled bosonic modes is addressed. By using symplectic transformations it is possible to decouple the modes and find the driving Hamiltonian that drives the system through a transitionless dynamics in a finite-time regime. Two paradigmatic interactions are discussed, the position-position and the magnetic field couplings. We also illustrate the finding in a concrete example where the nonadiabaticity degree is quantified in terms of the residual energy. Finally, it is shown that the driving Hamiltonian for each case contains local and global contributions, accounting for coherence in the energy basis and entanglement effects, respectively.
期刊介绍:
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.