Counter-diabatic driving in the classical $\beta$-Fermi-Pasta-Ulam-Tsingou chain

Abstract

Shortcuts to adiabaticity (STAs) have been used to make rapid changes to a system while eliminating or minimizing excitations in the system's state. In quantum systems, these shortcuts allow us to minimize inefficiencies and heating in experiments and quantum computing protocols, but the theory of STAs can also be generalized to classical systems. We focus on one such STA, approximate counter-diabatic (ACD) driving, and numerically compare its performance in two classical systems: a quartic anharmonic oscillator and the $\beta$ Fermi-Pasta-Ulam-Tsingou (FPUT) lattice. In particular, we modify an existing variational technique to optimize the approximate driving and then develop classical figures of merit to quantify the performance of the driving. We find that relatively simple forms for the ACD driving can dramatically suppress excitations regardless of system size. ACD driving in classical nonlinear oscillators could have many applications, from minimizing heating in bosonic gases to finding optimal local dressing protocols in interacting field theories.

arXiv comment13 pages, 12 figures; added references, Floquet discussion

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Cited by in corpus (8)

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• Efficient Paths for Local Counterdiabatic Driving
• Counterdiabatic optimized driving in quantum phase sensitive models
• Universal Counterdiabatic Driving
• Adiabatic Gauge Potential as a Tool for Detecting Chaos in Classical Systems
• Quantization of integrable and chaotic three-particle Fermi-Pasta-Ulam-Tsingou models
• Improving Variational Counterdiabatic Driving with Weighted Actions and Computer Algebra
• Shortcuts to Analog Preparation of Non-Equilibrium Quantum Lakes