Shortcut-to-adiabaticity for coupled harmonic oscillators
- URL: http://arxiv.org/abs/2310.09576v1
- Date: Sat, 14 Oct 2023 12:58:59 GMT
- Title: Shortcut-to-adiabaticity for coupled harmonic oscillators
- Authors: Jonas F. G. Santos
- Abstract summary: Shortcuts to adiabaticity methods allow to obtain desirable states of adiabatic dynamics but in short time scales.
Problem of considering this technique for two-coupled bosonic modes is addressed.
By using a symplectic transformation it is possible to decouple the modes and find the driving Hamiltonian that drives the system through a transitionless dynamics in a finite time.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- 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 a symplectic
transformation it is possible to decouple the modes and find the driving
Hamiltonian that drives the system through a transitionless dynamics in a
finite time. Two paradigmatic examples are discusses, the position-position and
the magnetic field couplings, as well as 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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