Freiburg 2019 – wissenschaftliches Programm

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FM: Fall Meeting

FM 58: Quantum Information Concepts in Thermodynamics

FM 58.7: Talk

Mittwoch, 25. September 2019, 15:45–16:00, 3042

Energtic cost of quantum control protocol — •Obinna Abah — Queen's University Belfast, United Kingdom

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 emerge that is dependent on the protocol duration. As case studies we explore the Landau- Zener model, quantum harmonic oscillator, and 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 employed via Lagrange multipliers.