Necessary and sufficient condition for quantum adiabaticity in a driven one-dimensional impurity-fluid system
Abstract
We study under what conditions the quantum adiabaticity is maintained in a closed many-body system consisting of a one-dimensional fluid and an impurity particle dragged through the latter by an external force. We employ an effective theory describing the low-energy sector of the system to derive the time dependence of the adiabaticity figure of merit -- the adiabatic fidelity. We find that in order to maintain adiabaticity in a large system the external force, , should vanish with the system size, , as or faster. This improves the necessary adiabatic condition obtained for this system earlier [AIP Conf. Proc. 1936, 020024 (2018)]. Experimental implications of this result and its relation to the quasi-Bloch oscillations of the impurity are discussed.
Keywords
Cite
@article{arxiv.1804.03726,
title = {Necessary and sufficient condition for quantum adiabaticity in a driven one-dimensional impurity-fluid system},
author = {Oleg Lychkovskiy and Oleksandr Gamayun and Vadim Cheianov},
journal= {arXiv preprint arXiv:1804.03726},
year = {2018}
}