Generalized Adiabatic Impulse Approximation
arXiv:2112.04739 · doi:10.1103/PhysRevA.105.022211
Abstract
Non-adiabatic transitions in multilevel systems appear in various fields of physics, but it is not easy to analyze their dynamics in general. In this paper, we propose to extend the adiabatic impulse approximation to multilevel systems. This approximation method is shown to be equivalent to a series of unitary evolutions and facilitates to evaluate the dynamics numerically. In particular, we analyze the dynamics of the Landau-Zener grid model and the multilevel Landau-Zener-Stückelberg-Majorana interference model, and confirm that the results are in good agreement with the exact dynamics evaluated numerically. We also derive the conditions for destructive interference to occur in the multilevel system.
References in corpus (20)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Amplitude Spectroscopy of a Solid-State Artificial Atom
- Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
- Gauging a quantum heat bath with dissipative Landau-Zener transitions
- Landau-Zener transitions in a two-level system coupled to a finite-temperature harmonic oscillator
- Dynamics of dissipative Landau-Zener transitions
- Multi-level interference resonances in strongly-driven three-level systems
- Entanglement creation in circuit QED via Landau-Zener sweeps
- The Role of Multilevel Landau-Zener Interference in Extreme Harmonic Generation
- Multistate Landau-Zener models with all levels crossing at one point
- Landau-Zener transition in a continuously measured single-molecule spin transistor
- Collapse and revivals of a the photon field in a many-body Landau-Zener process
- Landau-Zener transition in a two-level system coupled to a single highly-excited oscillator
- Photon-assisted Landau-Zener transitions in a periodically driven Rabi dimer coupled to a dissipative mode
- Nonadiabatic transitions in Landau-Zener grids: integrability and semiclassical theory
- Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
- A double-slit proposal for quantum annealing
- Effect of environmental spins on Landau-Zener transitions
- Loss of adiabaticity with increasing tunneling gap in non-integrable multistate Landau-Zener models
- Landau-Zener transition of a two-level system driven by spin chains near their critical points