1305.4967 (Christopher Jarzynski)

Generating shortcuts to adiabaticity in quantum and classical dynamics    [PDF]

Christopher Jarzynski

Transitionless quantum driving achieves adiabatic evolution in a hurry, using a counter-diabatic Hamiltonian to stifle non-adiabatic transitions. Here this strategy is cast in terms of a generator of adiabatic transport, leading to a classical analogue: dissipationless classical driving. For the single-particle piston, this approach yields simple and exact expressions for both the classical and quantal counter-diabatic terms. These results are further generalized to even-power-law potentials in one degree of freedom.

View original: http://arxiv.org/abs/1305.4967