The invariant based investigation of Shortcut to Adiabaticity for Quantum Harmonic Oscillators under time varying frictional force

TL;DR

This paper develops a method to implement shortcuts to adiabaticity in quantum harmonic oscillators affected by time-dependent friction, enabling faster quantum control in systems with variable parameters.

Contribution

It introduces an invariant-based inverse engineering approach for quantum harmonic oscillators with time-dependent friction and mass, expanding the applicability of STA protocols.

Findings

Protocol successfully applied to systems with time-varying mass and friction.

Illustration provided using coupled photonic lattice as a model.

Framework generalizes STA implementation for complex quantum systems.

Abstract

We investigate the Shortcuts To Adiabaticity (STA) of a quantum harmonic oscillator under time-dependent frictional force, using invariant based inverse engineering method with a class of invariants characterized by a time-dependent frictional coefficient. We discuss the implementation of 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.