2019/06/30 by Obinna Abah, Ricardo Puebla, Anthony Kiely +3 · 2 citations
Computer Science · Physics and Astronomy · #Adiabatic process #Advanced Thermodynamics and Statistical Mechanics #Computer science #Control (management) #Control theory (sociology) #Hamiltonian (control theory) #Harmonic oscillator #Hierarchy #Inverse #Mathematical optimization #Optimal control #Physics #Pontryagin's minimum principle #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum control #Quantum mechanics #Statistical physics #Topology (electrical circuits) #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1088/1367-2630/ab4c8c
published as New J. Phys. 21, 103048 (2019) · 10 pages, 4 figures
openalex publication_date 2019/10/01 · arxiv created 2019/10/28 · arxiv updated 2019/10/29 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
Abstract We quantitatively assess the energetic cost of several well-known control protocols that achieve a finite time adiabatic dynamics, namely counterdiabatic and local counterdiabatic driving, optimal control, and inverse engineering. By employing a cost measure based on the norm of the total driving Hamiltonian, we show that a hierarchy of costs emerges that is dependent on the protocol duration. As case studies we explore the Landau–Zener model, the quantum harmonic oscillator, and the Jaynes–Cummings model and establish that qualitatively similar results hold in all cases. For the analytically tractable Landau–Zener case, we further relate the effectiveness of a control protocol with the spectral features of the new driving Hamiltonians and show that in the case of counterdiabatic driving, it is possible to further minimize the cost by optimizing the ramp.