Engineering adiabaticity at an avoided crossing with optimal control

Abstract

We investigate ways to optimize adiabaticity and diabaticity in the Landau-Zener model with non-uniform sweeps. We show how diabaticity can be engineered with a pulse consisting of a linear sweep augmented by an oscillating term. We show that the oscillation leads to jumps in populations whose value can be accurately modeled using a model of multiple, photon-assisted Landau-Zener transitions, which generalizes work by Wubs et al. [New J. Phys. 7, 218 (2005)]. We extend the study on diabaticity using methods derived from optimal control. We also show how to preserve adiabaticity with optimal pulses at limited time, finding a non-uniform quantum speed limit.

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Cited by in corpus (10)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Counterdiabaticity and the quantum approximate optimization algorithm
• Time scaling and quantum speed limit in non-Hermitian Hamiltonians
• Effective Landau-Zener transitions in circuit dynamical Casimir effect with time-varying modulation frequency
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• Superadiabatic Control of Quantum Operations
• Numerical Engineering of Robust Adiabatic Operations
• Efficient Adiabatic Rapid Passage in the Presence of Noise
• Leakage in restless quantum gate calibration