Holographic supersolids

Baggioli, Matteo; Frangi, Giorgio

doi:10.1007/jhep06(2022)152

Cited by 13 publications

(10 citation statements)

References 114 publications

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“…For example, we may consider flows which break translation invariance and thus describe phonons. Simple flows of this kind include those for which the dynamics are governed by ODEs [56][57][58][59][60]. We may also take the striped superconductor [61,62], but this is more complicated because the dynamics are governed by PDEs and would thus require more powerful numerical techniques.…”

Section: Jhep01(2023)007mentioning

confidence: 99%

Anisotropic flows into black holes

Cáceres

Shashi

2023

J. High Energ. Phys.

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We consider anisotropic black holes in the context of holographic renormalization group (RG) flows. We construct an a-function that is stationary at the boundary and the horizon and prove that it is also monotonic in both the exterior and the interior of the black hole. In spite of the reduced symmetry, we find that the “radial” null energy condition is sufficient to ensure the existence of this monotonic a-function. After constructing the a-function, we explore a holographic anisotropic p-wave superfluid state as a concrete example and numerical testing grounds. In doing so, we find that the a-function exhibits nontrivial oscillations in the trans-IR regime while preserving monotonicity. We find evidence that such oscillations appear to drive the trans-IR flow into nontrivial fixed points. We conclude by briefly discussing how our work fits into both the broader program of holographic RG flow and quantum information approaches to probing the black hole interior.

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Section: Jhep01(2023)007mentioning

confidence: 99%

Anisotropic flows into black holes

Cáceres

Shashi

2023

J. High Energ. Phys.

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“…Let us first consider the hydrodynamics with no density (ρ = 0). 12 Moreover, motivated by M 2-brane magneto-hydrodynamics [49], we may set…”

Section: Zero Densitymentioning

confidence: 99%

“…For recent developments of the holographic study for the holographic superconductivity, see[10][11][12][13] 2. See also[22,[32][33][34][35][36][37] for the study of the bound of diffusion constants from the linearized hydrodynamics using quasi-normal modes.3 One can also utilize the fluid/gravity correspondence[38][39][40][41][42][43] to study the transport properties beyond linearized hydrodynamics.…”

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confidence: 99%

Quasi-normal modes of dyonic black holes and magneto-hydrodynamics

Jeong

Kim

Sun

2022

J. High Energ. Phys.

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We revisit the magneto-hydrodynamics in (2+1) dimensions and confirm that it is consistent with the quasi-normal modes of the (3+1) dimensional dyonic black holes in the most general set-up with finite density, magnetic field and wave vector. We investigate all possible modes (sound, shear, diffusion, cyclotron etc.) and their interplay. For the magneto-hydrodynamics we perform a complete and detailed analysis correcting some prefactors in the literature, which is important for the comparison with quasi-normal modes. For the quasi-normal mode computations in holography we identify the independent fluctuation variables of the dyonic black holes, which is nontrivial at finite density and magnetic field. As an application of the quasi-normal modes of the dyonic black holes we investigate a transport property, the diffusion constant. We find that the diffusion constant at finite density and magnetic field saturates the lower bound at low temperature. We show that this bound can be understood from the pole-skipping point.

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“…For example, we may consider flows which break translation invariance and thus describe phonons. Simple flows of this kind include those for which the dynamics are governed by ODEs [56][57][58][59]. We may also take the striped superconductor [60,61], but this is more complicated because the dynamics are governed by PDEs and would thus require more powerful numerical techniques.…”

Section: Breaking Translation Symmetrymentioning

confidence: 99%

Anisotropic Flows into Black Holes

Cáceres¹,

Shashi²

2022

Preprint

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We consider anisotropic black holes in the context of holographic renormalization group (RG) flows. We construct an a-function that is stationary at the boundary and the horizon and prove that it is also monotonic in both the exterior and the interior of the black hole. In spite of the reduced symmetry, we find that the "radial" null energy condition is sufficient to ensure the existence of this monotonic a-function. After constructing the a-function, we explore a holographic anisotropic p-wave superfluid state as a concrete example and numerical testing grounds. In doing so, we find that the a-function exhibits nontrivial oscillations in the trans-IR regime while preserving monotonicity. Such oscillations drive the trans-IR flow into nontrivial fixed points. We conclude by briefly discussing how our work fits into both the broader program of holographic RG flow and quantum information approaches to probing the black hole interior.

show abstract

Holographic supersolids

Cited by 13 publications

References 114 publications

Anisotropic flows into black holes

Anisotropic flows into black holes

Quasi-normal modes of dyonic black holes and magneto-hydrodynamics

Anisotropic Flows into Black Holes

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