Generating shortcuts to adiabaticity in quantum and classical dynamics
Christopher JarzynskiDepartment of Chemistry and Biochemistry, and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA
2013en
ABI
Abstract
Transitionless quantum driving achieves adiabatic evolution in a hurry, using a counterdiabatic Hamiltonian to stifle nonadiabatic transitions. Here this shortcut to adiabaticity is cast in terms of a generator of adiabatic transport. This yields a classical analog of transitionless driving, and provides a strategy for constructing quantal counterdiabatic Hamiltonians. As an application of this framework, exact classical and quantal counterdiabatic terms are obtained for a particle in a box and for even-power-law potentials in one degree of freedom.
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