• Open Access

Holographic superfluid solitons with backreaction

Zhongshan Xu, Yiqiang Du, Johanna Erdmenger, René Meyer, Yu Tian, and Zhuo-Yu Xian
Phys. Rev. D 101, 086011 – Published 9 April 2020

Abstract

Solitons are important nonperturbative excitations in superfluids. For holographic superfluids, we numerically construct “dark” solitons that have the symmetry-restored phase at their core. A central point is that we include the gravitational backreaction of the matter fields, which becomes important at low temperatures. We study in detail the properties of these solitons under variation of the backreaction strength via tuning the gravitational constant. In particular, the depletion fraction of the particle number density at the core of the solitons is carefully investigated. In agreement with the probe-limit analysis, the depletion fraction shows the same qualitative behavior as in Bogoliubov–de Gennes theory, even if the backreaction is included. We find that the depletion decreases with increasing backreaction strength. Moreover, the inclusion of backreaction enables us to obtain the effective energy density of solitons within holography, which together with an evaluation of the surface tension leads to a simple physical explanation for the snake instability of dark solitons.

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  • Received 4 January 2020
  • Accepted 24 March 2020

DOI:https://doi.org/10.1103/PhysRevD.101.086011

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. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsGravitation, Cosmology & Astrophysics

Authors & Affiliations

Zhongshan Xu1,*, Yiqiang Du2,3,†, Johanna Erdmenger2,‡, René Meyer2,§, Yu Tian1,4,5,∥, and Zhuo-Yu Xian5,¶

  • 1School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • 2Institute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excellence ct.qmat, Am Hubland 97074 Würzburg, Germany
  • 3Department of Physics, Hanyang University, 222 Wangshimni-ro, Sungdong-gu, Seoul 04763, South Korea
  • 4Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 5Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

  • *xuzhongshan16@mails.ucas.edu.cn
  • ydu@physik.uni-wuerzburg.de
  • Corresponding author. erdmenger@physik.uni-wuerzburg.de
  • §rene.meyer@physik.uni-wuerzburg.de
  • Corresponding author. ytian@ucas.ac.cn
  • xianzy@itp.ac.cn

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Issue

Vol. 101, Iss. 8 — 15 April 2020

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