We formulate a set of conditions under which the nonstationary Schrödinger equation with a
time-dependent Hamiltonian is exactly solvable analytically. The main requirement is the …

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 solve the non-stationary Schrödinger equation for several time-dependent Hamiltonians,
such as the BCS Hamiltonian with an interaction strength inversely proportional to time …

We demonstrate that the general model of a linearly time-dependent crossing of two energy
bands is integrable. Namely, the Hamiltonian of this model has a quadratically time …

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 explore the recently discovered solution of the driven Tavis-Cummings model (DTCM). It
describes interaction of an arbitrary number of two-level systems with a bosonic mode that …

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 …

We consider the Landau-Zener problem for a multilevel quantum system that is coupled to
an external environment. In particular, we consider a number of cases of three-level systems …

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 …

We discuss common properties and reasons for integrability in the class of multistate
Landau-Zener models with all diabatic levels crossing at one point. Exploring the Stokes …