Unitary deformations of counterdiabatic driving

Abstract

We study a deformation of the counterdiabatic-driving Hamiltonian as a systematic strategy for an adiabatic control of quantum states. Using a unitary transformation, we design a convenient form of the driver Hamiltonian. We apply the method to a particle in a confining potential and discrete systems to find explicit forms of the Hamiltonian and discuss the general properties. The method is derived by using the quantum brachistochrone equation, which shows the existence of a nontrivial dynamical invariant in the deformed system.

10 pages, 3 figures; revised

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Cited by in corpus (9)

• Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counter-diabatic driving
• Shortcuts to adiabaticity using flow fields
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Shortcuts to adiabaticity for quantum annealing
• Fast forward to the classical adiabatic invariant
• Fast driving between arbitrary states of a quantum particle by trap deformation
• Counterdiabatic Formalism of Shortcuts to Adiabaticity
• Fast-forward scaling theory
• Fast-forward scaling theory for quantum dynamics on curved space-time