2019/10/31 by T. Kiran, M. Ponmurugan
Mathematics · Physics and Astronomy · #Acoustics #Advanced Fiber Laser Technologies #Classical mechanics #Computer science #Control theory (sociology) #Geometry #Harmonic #Harmonic oscillator #Invariant (physics) #Inverse #Lattice (music) #Mathematics #Mechanical and Optical Resonators #Nonlinear Photonic Systems #Physics #Quantum #Quantum harmonic oscillator #Quantum mechanics #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.103.042206
published as Phys. Rev. A 103, 042206 (2021) · Phy.Rev.A (accepted)
openalex created_date 2019/10/18 · arxiv created 2021/03/26 · openalex publication_date 2021/04/07 · arxiv updated 2021/04/14 · openalex updated_date 2026/08/05
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.