Since the pioneering works by Landau, Zener, St\"uckelberg, and Majorana (LZSM), it has been known that driving a quantum two-level system results in tunneling between its states. Even though interference these transitions is to be important, only recently became both accessible, controllable, useful for engineering systems. Here, we study systematically various aspects of LZSM physics review r...

Considering the linear constitutive model containing fractional integrals and Riemann-Liouville derivatives, power per unit volume is expressed in time domain terms of stored energy dissipated volume. Relaxation modulus creep compliance corresponding to anti-Zener Zener models are calculated restrictions on parameters narrowing thermodynamical constraints posed order ensure relaxation be comple...

We study Landau-Zener transitions of a two-level system that is coupled to a quantum heat bath at zero temperature. In particular, we reveal that for a whole class of models, the probability for a nonadiabatic transition is bath-independent.

We have studied the high-bias transport properties of the different shells that constitute a multiwalled carbon nanotube. The current is shown to be reduced as the shell diameter is decreased or the length is increased. We assign this geometrical dependence to the competition between the electron-phonon scattering process and Zener tunneling.

We review recent results concerning the exponential behaviour of transition probabilities across a gap in the adiabatic limit of the time-dependent Schrödinger equation. They range from an exponential estimate in quite general situations to asymptotic Landau-Zener type formulae for finite dimensional systems, or systems reducible to this case.

By manipulating the discrete optical levels inside an optical resonator, we obtain a classical realization of a twisted Landau ± Zener model. We experimentally demonstrate the geometric amplitude factor in the transition amplitude that arises for this model. We consider in particular the region of parameter space addressed in the original study of the geometric amplitude factor by M. V. Berry [7].

The relationship between the Landau–Zener model (which describes transitions energy levels for a time-dependent Hamiltonian) and nonsecular master equations is discussed. This approach allows to describe widely discussed in literature on quantum photosynthesis resonance of vibron difference exciton energies states coupled vibron.