Classical and Quantum Shortcuts to Adiabaticity for Scale-Invariant Driving
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Type of Work19 pages
Citation of Original PublicationSebastian Deffner, Christopher Jarzynski, and Adolfo del Campo, Classical and Quantum Shortcuts to Adiabaticity for Scale-Invariant Driving, Phys. Rev. X 4, 02 (2014),DOI:https://doi.org/10.1103/PhysRevX.4.021013
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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law
A shortcut to adiabaticity is a driving protocol that reproduces in a short time the same final state that would result from an adiabatic, infinitely slow process. A powerful technique to engineer such shortcuts relies on the use of auxiliary counterdiabatic fields. Determining the explicit form of the required fields has generally proven to be complicated. We present explicit counterdiabatic driving protocols for scale-invariant dynamical processes, which describe, for instance, expansion and transport. To this end, we use the formalism of generating functions and unify previous approaches independently developed in classical and quantum studies. The resulting framework is applied to the design of shortcuts to adiabaticity for a large class of classical and quantum, single-particle, nonlinear, and many-body systems.
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