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Published on: November 11, 2008
Impact of the Injection Protocol on an Impurity's Stationary State
Oleksandr Gamayun1,2, Oleg Lychkovskiy3,4,5, Evgeni Burovski6,7
1Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, Leiden 2300 RA, Netherlands.
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 the 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 ultracold gas experiments.
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