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Title: The internal structure of a vortex in a two-dimensional superfluid with long healing length and its implications

Abstract

We analyze the motion of quantum vortices in a two-dimensional spinless superfluid within Popov’s hydrodynamic description. In the long healing length limit (where a large number of particles are inside the vortex core) the superfluid dynamics is determined by saddle points of Popov’s action, which, in particular, allows for weak solutions of the Gross–Pitaevskii equation. We solve the resulting equations of motion for a vortex moving with respect to the superfluid and find the reconstruction of the vortex core to be a non-analytic function of the force applied on the vortex. This response produces an anomalously large dipole moment of the vortex and, as a result, the spectrum associated with the vortex motion exhibits narrow resonances lying within the phonon part of the spectrum, contrary to traditional view.

Authors:
 [1];  [2];  [1];  [3]
  1. The Racah Institute of Physics, The Hebrew University of Jerusalem, 91904 (Israel)
  2. Physics Department, Columbia University, New York, NY 10027 (United States)
  3. (United States)
Publication Date:
OSTI Identifier:
22314842
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 346; Journal Issue: Complete; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANALYTIC FUNCTIONS; DIPOLE MOMENTS; EQUATIONS OF MOTION; MATHEMATICAL SOLUTIONS; PHONONS; QUANTUM MECHANICS; RESONANCE; SUPERFLUIDITY; TWO-DIMENSIONAL CALCULATIONS; VORTICES; WAVE EQUATIONS

Citation Formats

Klein, Avraham, Aleiner, Igor L., E-mail: aleiner@phys.columbia.edu, Agam, Oded, and Physics Department, Columbia University, New York, NY 10027. The internal structure of a vortex in a two-dimensional superfluid with long healing length and its implications. United States: N. p., 2014. Web. doi:10.1016/J.AOP.2014.04.018.
Klein, Avraham, Aleiner, Igor L., E-mail: aleiner@phys.columbia.edu, Agam, Oded, & Physics Department, Columbia University, New York, NY 10027. The internal structure of a vortex in a two-dimensional superfluid with long healing length and its implications. United States. doi:10.1016/J.AOP.2014.04.018.
Klein, Avraham, Aleiner, Igor L., E-mail: aleiner@phys.columbia.edu, Agam, Oded, and Physics Department, Columbia University, New York, NY 10027. Tue . "The internal structure of a vortex in a two-dimensional superfluid with long healing length and its implications". United States. doi:10.1016/J.AOP.2014.04.018.
@article{osti_22314842,
title = {The internal structure of a vortex in a two-dimensional superfluid with long healing length and its implications},
author = {Klein, Avraham and Aleiner, Igor L., E-mail: aleiner@phys.columbia.edu and Agam, Oded and Physics Department, Columbia University, New York, NY 10027},
abstractNote = {We analyze the motion of quantum vortices in a two-dimensional spinless superfluid within Popov’s hydrodynamic description. In the long healing length limit (where a large number of particles are inside the vortex core) the superfluid dynamics is determined by saddle points of Popov’s action, which, in particular, allows for weak solutions of the Gross–Pitaevskii equation. We solve the resulting equations of motion for a vortex moving with respect to the superfluid and find the reconstruction of the vortex core to be a non-analytic function of the force applied on the vortex. This response produces an anomalously large dipole moment of the vortex and, as a result, the spectrum associated with the vortex motion exhibits narrow resonances lying within the phonon part of the spectrum, contrary to traditional view.},
doi = {10.1016/J.AOP.2014.04.018},
journal = {Annals of Physics (New York)},
number = Complete,
volume = 346,
place = {United States},
year = {Tue Jul 15 00:00:00 EDT 2014},
month = {Tue Jul 15 00:00:00 EDT 2014}
}