Abstract:

With the emergence of wide applications in atomic cooling and shuttling for quantum information processing, shortcuts to adiabaticity have been proposed to accelerate slow adiabatic processes. In this study, we consider a shortcut to adiabaticity for coupled harmonic oscillators and its application in a quantum heat engine. Based on the dynamical invariant of coupled harmonic oscillators, we first obtain an Ermakov equation and then design the frequency of a coupled harmonic oscillator using an inverse engineering method to speed up the adiabatic process without final excitation. Our results provide a theoretical basis for designing shortcuts to adiabatic state control of coupled harmonic oscillators and superadiabatic quantum heat engines.

Key words: shortcut to adiabaticity, coupled harmonic oscillators, quantum heat engine