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.

References in corpus (10)

• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Two-level systems driven by large-amplitude fields
• Amplitude Spectroscopy of a Solid-State Artificial Atom
• Landau-Zener transitions in qubits controlled by electromagnetic fields
• Quantitative evaluation of defect-models in superconducting phase qubits
• Tunable-Cavity QED with Phase Qubits
• Microscopic model of critical current noise in Josephson-junction qubits: Subgap resonances and Andreev bound states
• Photon-induced sideband transitions in a many-body Landau-Zener process