Quantum shock waves in the Heisenberg XY model

Abstract

We show the existence of quantum states of the Heisenberg XY chain which closely follow the motion of the corresponding semi-classical ones, and whose evolution resemble the propagation of a shock wave in a fluid. These states are exact solutions of the Schroedinger equation of the XY model and their classical counterpart are simply domain walls or soliton-like solutions.

15 pages,6 figures

References in corpus (2)

• Transport in the XX chain at zero temperature: Emergence of flat magnetization profiles
• Shock waves in one-dimensional Heisenberg ferromagnets

Cited by in corpus (4)

• Dynamic scaling of fronts in the quantum XX chain
• Relaxation in the XX quantum chain
• Domain walls and bubble-droplets in immiscible binary Bose gases
• Reaction fronts in stochastic exclusion models with three-site interactions