Pulse design without rotating wave approximation

Abstract

We design realizable time-dependent semiclassical pulses to invert the population of a two-level system faster than adiabatically when the rotating-wave approximation cannot be applied. Different approaches, based on the counterdiabatic method or on invariants, may lead to singularities in the pulse functions. Ways to avoid or cancel the singularities are put forward when the pulse spans few oscillations. For many oscillations an alternative numerical minimization method is proposed and demonstrated.

7 pages, 5 figures

References in corpus (7)

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• Observation of Berry's Phase in a Solid State Qubit
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
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Cited by in corpus (8)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Robust and highly-efficient discrimination of chiral molecules through three-mode parallel paths
• Quantum Control via Enhanced Shortcuts to Adiabaticity
• Inverse engineering rigorous adiabatic Hamiltonian for non-Hermitian system
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation
• Pulse reverse-engineering for strong field-matter interaction
• Invariant-based pulse design for three-level systems without the rotating-wave approximation