Note on Zero Temperature Holographic Superfluids
arXiv:1602.03824 · doi:10.1088/0264-9381/33/12/127001
Abstract
In this note, we have addressed various issues on zero temperature holographic superfluids. First, inspired by our numerical evidence for the equality between the superfluid density and particle density, we provide an elegant analytic proof for this equality by a boost trick. Second, using not only the frequency domain analysis but also the time domain analysis from numerical relativity, we identify the hydrodynamic normal modes and calculate out the sound speed, which is shown to increase with the chemical potential and saturate to the value predicted by the conformal field theory in the large chemical potential limit. Third, the generic non-thermalization is demonstrated by the fully non-linear time evolution from a non-equilibrium state for our zero temperature holographic superfluid. Furthermore, a conserved Noether charge is proposed in support of this behavior.
JHEP style, 1+15 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:1601.00257
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Cited by in corpus (6)
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- Attractive Interaction between Vortex and Anti-vortex in Holographic Superfluid
- Holographic Superfluid Solitons with Backreaction
- Black and gray solitons in holographic superfluids at zero temperature
- Zero Temperature Holographic Superfluids with Two Competing Orders
- Holographic homogeneous superfluid on the sphere