Inhomogeneous Structures in Holographic Superfluids: I. Dark Solitons
arXiv:0911.1866 · doi:10.1103/PhysRevD.81.126011
Abstract
We begin an investigation of inhomogeneous structures in holographic superfluids. As a first example, we study domain wall like defects in the 3+1 dimensional Einstein-Maxwell-Higgs theory, which was developed as a dual model for a holographic superconductor. In [1], we reported on such "dark solitons" in holographic superfluids. In this work, we present an extensive numerical study of their properties, working in the probe limit. We construct dark solitons for two possible condensing operators, and find that both of them share common features with their standard superfluid counterparts. However, both are characterized by two distinct coherence length scales (one for order parameter, one for charge condensate). We study the relative charge depletion factor and find that solitons in the two different condensates have very distinct depletion characteristics. We also study quasiparticle excitations above the holographic superfluid, and find that the scale of the excitations is comparable to the soliton coherence length scales.
25 pages, 17 figure files, LaTeX
References in corpus (18)
- Building an AdS/CFT superconductor
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Emergent quantum criticality, Fermi surfaces, and AdS2
- Zero Temperature Limit of Holographic Superconductors
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Holographic model of superfluidity
- Gravity Dual of Spatially Modulated Phase
- Hydrodynamics of Holographic Superconductors
- The Holographic Superconductor Vortex
- Vortex lattice for a holographic superconductor
- Vortex and Droplet Engineering in Holographic Superconductors
- Characteristic length of an AdS/CFT superconductor
- Sound modes in holographic superfluids
- Holographic Non-Fermi Liquid in a Background Magnetic Field
- Dark Solitons in Holographic Superfluids
- Scanning the Parameter Space of Holographic Superconductors
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