https://doi.org/10.1140/epjp/s13360-024-05718-7
Regular Article
Shortcut-to-adiabaticity for coupled harmonic oscillators
Faculdade de Ciências Exatas e Tecnologia, Universidade Federal da Grande Dourados, Caixa Postal 364, CEP 79804-970, Dourados, Mato Grosso do Sul, Brazil
Received:
26
February
2024
Accepted:
2
October
2024
Published online:
21
October
2024
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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
