We solve a model that describes a stimulated conversion between ultracold bosonic atoms
and molecules. The reaction is triggered by a linearly time-dependent transition throughout …

We consider the model of a single optical cavity mode interacting with two-level systems
(spins) driven by a linearly time-dependent field. When this field passes through values at …

We show that the solution of a multistate system composed of N degenerate lower (ground)
states and one upper (excited) state can be reduced by using the Morris-Shore …

Recently, integrability conditions (ICs) in mutistate Landau-Zener (MLZ) theory were
proposed [1]. They describe common properties of all known solved systems with linearly …

We derive a set of constraints, which we will call hierarchy constraints, on scattering
amplitudes of an arbitrary multistate Landau-Zener model (MLZM). The presence of …

Two-level system strongly coupled to a single resonator mode (harmonic oscillator) is a
paradigmatic model in many subfields of physics. We study theoretically the Landau-Zener …

I identify a nontrivial four-state Landau-Zener model for which transition probabilities
between any pair of diabatic states can be determined analytically and exactly. The model …

The exact analytical solution of the degenerate Landau-Zener model, wherein two bands of
degenerate energies cross in time, is presented. The solution is derived by using the Morris …

We identify a nontrivial multistate Landau–Zener (LZ) model for which transition probabilities
between any pair of diabatic states can be determined analytically and exactly. In the …

We determine transition probabilities in two exactly solvable multistate Landau-Zener (LZ)
models and discuss applications of our results to the theory of dynamic passage through a …