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arXiv:2310.09576 · The European Physical Journal Plus

Shortcut-to-adiabaticity for coupled harmonic oscillators

Jonas F. G. Santos

Published Oct 21, 2024• 1 citation
arXivHTMLPDF
DOI
10.1140/epjp/s13360-024-05718-7

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We investigate the shortcuts to adiabaticity (STA) of a quantum harmonic oscillator under time-dependent frictional force, using an invariant-based inverse-engineering method with a class of invariants characterized by a time-dependent frictional coefficient. We discuss the implementation of a shortcut protocol in a generalized framework for any arbitrary time-dependent frictional interaction and study a class of such interaction from which the STA for the quantum harmonic oscillator can be obtained. We also discuss the application of the above protocol for the harmonic oscillator with time-varying mass. For an illustration, we consider the coupled photonic lattice as a harmonic oscillator with time-varying mass and frequency and discuss implementing the above protocol.