Dynamical transitions in a modulated Landau-Zener model with finite driving fields

Abstract

We investigate a special time-dependent quantum model which assumes the Landau-Zener driving form but with an overall modulation of the intensity of the pulsing field. We demonstrate that the dynamics of the system, including the two-level case as well as its multi-level extension, is exactly solvable analytically. Differing from the original Landau-Zener model, the nonadiabatic effect of the evolution in the present driving process does not destroy the desired population transfer. As the sweep protocol employs only the finite driving fields which tend to zero asymptotically, the cutoff error due to the truncation of the driving pulse to the finite time interval turns out to be negligibly small. Furthermore, we investigate the noise effect on the driving protocol due to the dissipation of the surrounding environment. The losses of the fidelity in the protocol caused by both the phase damping process and the random spin flip noise are estimated by solving numerically the corresponding master equations within the Markovian regime.

6 pages, 4 figures

References in corpus (11)

• Shortcut to adiabatic passage in two and three level atoms
• Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
• Analytically solvable driven time-dependent two-level quantum systems
• Gauging a quantum heat bath with dissipative Landau-Zener transitions
• Controllable coherent population transfers in superconducting qubits for quantum computing
• Landau-Zener transitions in a two-level system coupled to a finite-temperature harmonic oscillator
• Finite-time Landau-Zener processes and counter-diabatic driving in open systems: beyond Born, Markov and Rotating-wave approximations
• Constraints on scattering amplitudes in multistate Landau-Zener theory
• Exact transition probabilities in a six-state Landau-Zener system with path interference
• Periodically Driven Three-Level Systems
• Decoherence processes of a quantum two-level system coupled to a fermionic environment

Cited by in corpus (5)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Analytically solvable many-body Rosen-Zener quantum battery
• Exotic dynamical evolution in a secant-pulse driven quantum system
• Explicit construction of nonadiabatic passages for stimulated Raman transitions
• Anomalous dynamical evolution and nonadiabatic level crossing in exactly solvable time-dependent quantum systems