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 …

Matter waves inside periodic potentials are well known from solid-state physics, where
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

We consider several effects of the matter wave dynamics which can be observed in Bose–
Einstein condensates embedded into optical lattices. For low-density condensates, we …

Abstract Superflow of a Bose–Einstein condensate in an optical lattice is represented by a
Bloch wave, a plane wave with periodic modulation of the amplitude. We review the …

We investigate adiabatic evolution of quantum states as governed by the nonlinear
Schrödinger equation and provide examples of applications with a nonlinear tunneling …

According to the Heisenberg uncertainty principle between time and energy fluctuation, a
concept of the quantum speed limit (QSL) has been established to determine the minimum …

The magnetic and dielectric properties of ferroelectromagnet (FEM) Pb (Fe 1∕ 2 Nb 1∕ 2)
O 3 (PFN) single crystals have been investigated. Anomalies in the dielectric constant as a …

Using a simple model for nonlinear Landau-Zener tunneling between two energy bands of a
Bose-Einstein condensate in a periodic potential, we find that the tunneling rates for the two …

Abstract The Landau–Zener model of a quantum mechanical two-level system driven with a
linearly time-dependent detuning has served over decades as a textbook model of quantum …