Quantum time mirrors for general two-band systems
Abstract
Methods that are devised to achieve reversal of quantum dynamics in time have been named "quatum time mirrors". Such a time mirror can be considered as a generalization of Hahn's spin echo to systems with continuous degrees of freedom. We extend the quantum time mirror protocol originally proposed for Dirac dispersions to arbitrary two-band systems and establish the general requirements for its efficient implementation. We further discuss its sensitivity to various non- homogeneous perturbations including disorder potentials and the effect of external static magnetic and electric fields. Our general statements are verified for a number of exemplary Hamiltonians, whose phase-coherent dynamics are studied both analytically and numerically. The Hamiltonians considered can be used to describe the low-energy properties of systems as diverse as cold atom- optics setups, direct band gap semiconductors or (mono- or bilayer) graphene. We discuss the consequences of many-body effects at a qualitative level, and consider the protocol feasibility in state-of-the-art experimental setups.
Cite
@article{arxiv.1805.10160,
title = {Quantum time mirrors for general two-band systems},
author = {Phillipp Reck and Cosimo Gorini and Klaus Richter},
journal= {arXiv preprint arXiv:1805.10160},
year = {2018}
}
Comments
22 pages, 11 figures, sequel to P. Reck, et al., PRB 95, 165421 (2017)