Dynamical invariant formalism of shortcuts to adiabaticity
arXiv:2209.04367 · doi:10.1098/rsta.2022.0301
Abstract
We give a pedagogical introduction to dynamical invariant formalism of shortcuts to adiabaticity. For a given operator form of the Hamiltonian with undetermined coefficients, the dynamical invariant is introduced to design the coefficients. We discuss how the method allows us to realize adiabatic dynamics and describe a relation to the counterdiabatic formalism. The equation for the dynamical invariant takes a familiar form and is often used in various fields of physics. We introduce examples of Lax pair, quantum brachistochrone, and flow equation.
arXiv commentComplementary paper of arXiv:2208.07346
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