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  • Open Access

Quantum wakes in lattice fermions

Matthew Wampler*, Peter Schauss, Eugene B. Kolomeisky, and Israel Klich†

  • Department of Physics, University of Virginia, Charlottesville, Virginia 22904, USA

  • *mbw5kk@virginia.edu
  • †ik3j@virginia.edu
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Phys. Rev. Research 3, 033112 – Published 3 August, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.033112

Abstract

The wake following a vessel in water is a signature interference effect of moving bodies, and, as described by Lord Kelvin, is contained within a constant universal angle. However, wakes may accompany different kinds of moving disturbances in other situations and even in lattice systems. Here, we investigate the effect of moving disturbances on a Fermi lattice gas of ultracold atoms and analyze the novel types of wake patterns that may occur. We show how at half-filling, the wake angles are dominated by the ratio of the hopping energy to the velocity of the disturbance and on the angle of motion relative to the lattice direction. Moreover, we study the difference between wakes left behind a moving particle detector versus that of a moving potential or a moving particle extractor. We show that these scenarios exhibit dramatically different behavior at half-filling, with the “measurement wake” following an idealized detector vanishing, though the motion of the detector does still leaves a trace through a “fluctuation wake.” Finally, we discuss the experimental requirements to observe our predictions in ultracold fermionic atoms in optical lattices.

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Phys. Rev. Research 3, 033112– Published 3 August, 2021
  • Received 27 January 2021
  • Accepted 15 June 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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