Shortcut-to-adiabaticity for coupled harmonic oscillators

• Main Author: Santos, Jonas F. G
• Format: Journal Article
• Language: English
• Published: 25-10-2024
• Subjects: Physics - Quantum Physics
• DOI: 10.48550/arxiv.2310.09576

Eur. Phys. J. Plus 139, 909 (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.