Real-time scattering of interacting quasiparticles in quantum spin chains
Strongly Correlated Electrons
2021-02-03 v3
Abstract
We develop a method based on tensor networks to create localized single particle excitations on top of strongly-correlated quantum spin chains. In analogy to the problem of creating localized Wannier modes, this is achieved by optimizing the gauge freedom of momentum excitations on top of matrix product states. The corresponding wavepackets propagate almost dispersionless. The time-dependent variational principle is used to scatter two such wavepackets, and we extract the phase shift from the collision data. We also study reflection and transmission coefficients of a wavepacket impinging on an impurity.
Cite
@article{arxiv.1907.02474,
title = {Real-time scattering of interacting quasiparticles in quantum spin chains},
author = {Maarten Van Damme and Laurens Vanderstraeten and Jacopo De Nardis and Jutho Haegeman and Frank Verstraete},
journal= {arXiv preprint arXiv:1907.02474},
year = {2021}
}