8 problems

The MTLZ class consists of multistate Landau–Zener models associated with graphs, including hypercubes, fans, and their direct products. MTLZ graph-integrability classification con…

Consider a multistate Landau–Zener model in which the diabatic energies depend linearly on time. A transition is counterintuitive when it goes against the ordering implied by the d…

Let $H_i(t)$, for $i=1,\ldots,n$, be mutually commuting Hamiltonians associated with a Landau-Zener model, and let $\Psi(\vec{z})$ be a wavefunction depending on multi-time variabl…

A multistate Landau–Zener model is a quantum system whose Hamiltonian depends linearly on time, and a model is called solvable when its transition probabilities between asymptotic…

Let … Here $\hat c_j^\dagger$ and $\hat c_j$ are fermionic creation and annihilation operators, and $u$ is a real parameter. Exact solvability conjecture. The problem of determinin…

Let $N$ be the number of states in a solvable multistate Landau-Zener model, and let its scattering matrix describe the transition amplitudes between asymptotic states. A factoriza…

A multistate Landau–Zener model is a quantum system with diabatic levels whose energies depend linearly on time and whose couplings are time-independent. An already solved model is…

Let the six-state multistate Landau–Zener problem be defined by the Hamiltonian in Eq. (ham1), and let the transition probability matrix in Eq. (prob1) describe its scattering prob…