Classical and quantum dissipation of bright solitons in a bosonic superfluid

ORAL

Abstract

We consider the quantum dissipation of a bright soliton in a quasi-one-dimensional bosonic superfluid. The dissipation appears due to interaction of the soliton with Bogoliubov excitations, which act as a bath for the soliton. Using a collective coordinate approach and the Keldysh formalism, we derive a Langevin equation for the soliton motion which contains both a friction and a stochastic force. We argue that due to the integrability of the original problem, Ohmic friction is absent, rendering the dynamics non-Markovian. We furthermore show that the resulting friction can be interpreted as the backreaction of Bogoliubov quasiparticles emitted by an accelerating soliton, which represents an analogue of the Abraham-Lorentz force known in electrodynamic.

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Authors

  • Dmitry K. Efimkin

    • Joint Quantum Institute and Condensed Matter Theory Center, University of Maryland, College Park
    • Department of Physics, University of Maryland, College Park, Maryland 20742
    • Condensed Matter Theory Center, University of Maryland, United States

  • Johannes B. Hofmann

    • University of Cambridge
    • Cavendish Laboratory
    • Condensed Matter Theory Center, University of Maryland, United States and TCM Group, Cavendish Laboratory, University of Cambridge, United Kingdom

  • Victor Galitski

    • University of Maryland
    • Joint Quantum Institute and Condensed Matter Theory Center, University of Maryland, College Park
    • Department of Physics, University of Maryland, College Park, Maryland 20742
    • University of Maryland, College Park
    • Univ of Maryland-College Park
    • Joint Quantum Institute and Condensed Matter Theory Center, University of Maryland, United States