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Fast quasi-adiabatic dynamics
S. Martínez-Garaot, A. Ruschhaupt, J. Gillet +2
We work out the theory and applications of a fast quasi-adiabatic approach to speed up slow adiabatic manipulations of quantum systems by driving a control parameter as near to the…
Shortcuts to adiabaticity in three-level systems using Lie transforms
S. Martínez-Garaot, E. Torrontegui, Xi Chen +1
Sped-up protocols (shortcuts to adiabaticity) that drive a system quickly to the same populations than a slow adiabatic process may involve Hamiltonian terms difficult to realize i…
Hamiltonian engineering via invariants and dynamical algebra
E. Torrontegui, S. Martínez-Garaot, J. G. Muga
We use the dynamical algebra of a quantum system and its dynamical invariants to inverse engineer feasible Hamiltonians for implementing shortcuts to adiabaticity. These are speede…