The impact of the injection protocol on an impurity's stationary state
Abstract
We examine stationary state properties of an impurity particle injected into a one-dimensional quantum gas. We show that the value of the impurity's end velocity lies between zero and the speed of sound in the gas, and is determined by the injection protocol. This way, the impurity's constant motion is a dynamically emergent phenomenon whose description goes beyond accounting for the kinematic constraints of Landau approach to superfluidity. We provide exact analytic results in the thermodynamic limit, and perform finite-size numerical simulations to demonstrate that the predicted phenomena are within the reach of the existing ultracold gases experiments.
Keywords
Cite
@article{arxiv.1708.07665,
title = {The impact of the injection protocol on an impurity's stationary state},
author = {Oleksandr Gamayun and Oleg Lychkovskiy and Evgeni Burovski and Matthew Malcomson and Vadim V. Cheianov and Mikhail B. Zvonarev},
journal= {arXiv preprint arXiv:1708.07665},
year = {2018}
}
Comments
main text+supplemental, 14 pages, 3 figures; v2: title, introduction, and summary modified, 3 refs. added