5 papers · 1 filter
Graph-theoretical search for integrable multistate Landau-Zener models
Zixuan Li, Chen Sun
The search for exactly solvable models is an evergreen topic in theoretical physics. In the context of multistate Landau-Zener models -- -state quantum systems with linearly tim…
Derivation of the Landau-Zener formula via functional equations
Chen Sun
The Landau-Zener formula describes the diabatic transition probability of a two-level system under linear driving. Its rigorous derivation typically relies on sophisticated mathema…
Perturbative approach to time-dependent quantum systems and applications to one-crossing multistate Landau-Zener models
Rongyu Hu, Chen Sun
We formulate a perturbative approach for studying a class of multi-level time-dependent quantum systems with constant off-diagonal couplings and diabatic energies being odd functio…
Universal scaling of quantum state transport in one-dimensional topological chain under nonadiabatic dynamics
Lingzi Huang, Menghua Deng, Chen Sun +1
When a system is driven across a continuous phase transition, the density of topological defects demonstrates a power-law scaling behavior versus the quenching rate, as predicted b…
Solution to a class of multistate Landau-Zener model beyond integrability conditions
Rongyu Hu, Fuxiang Li, Chen Sun
We study a class of multistate Landau-Zener model which cannot be solved by integrability conditions or other standard techniques. By analyzing analytical constraints on its scatte…