Since the pioneering works by Landau, Zener, Stückelberg, and Majorana (LZSM), it has
been known that driving a quantum two-level system results in tunneling between its states …

The evolution speed in projective Hilbert space is considered for Hermitian Hamiltonians
and for non-Hermitian (NH) ones. Based on the Hilbert–Schmidt norm and the spectral norm …

We systematically investigate the non-Hermitian generalizations of the Landau-Zener (LZ)
transition and the Landau-Zener-Stückelberg (LZS) interferometry. The LZ transition …

We theoretically study the photon-assisted tunneling (PAT) in a PT-symmetric triple-well
potential (TWP) with balanced gain-loss between the noncentral wells and neutral central …

This article aims to study the existence of stable Bloch oscillations and Landau-Zener
tunneling in a non-Hermitian system when exposed to external fields. We investigate a non …

We investigate theoretically the non-adiabatic transitions in a $\mathcal {PT} $-symmetric
lattice subject to a strong ac force. In an optical realization of the lattice, the curvature of the …

In the limit of rapid passage in a time-dependent two-level system of the Landau–Zener type,
the initial state undergoes a very simple yet non-trivial rotation. This effect takes place when …

We investigate the spectral and dynamical properties of a quantum particle constrained on a
ring threaded by a magnetic flux in the presence of a complex (non-Hermitian) potential. For …

We systematically investigate the non-Hermitian generalisations of the Landau-Zener (LZ)
transition and the Landau-Zener-St\"{u} ckelberg (LZS) interferometry. The LZ transition …