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 Schrödinger equation of the XY model and their classical counterpart are simply domain walls or soliton-like solutions. PACS numbers: 75.10.j, 62.50, 03.65. ∗also at the Institute for Low Temperature Physics, Kharkov, Ukraine. E-mail: popkov@physik.fu-berlin.de †also at the Istituto Nazionale di Fisica della Materia (INFM) Unità di Salerno. E-mail: salerno@sa.infn.it 1

Cite this paper

@inproceedings{Popkov2000QuantumSW, title={Quantum shock waves in the Heisenberg XY model}, author={Vladislav Popkov}, year={2000} }