Holography

Papers

• Hydrodynamics for charge density waves and their holographic duals

  J. Armas, A. Jain

  Jan 2020 PRD 2001.07357 INSPIRE Cite

  In materials such as the cuprate superconductors, electrons can arrange into a crystal-like pattern called a charge density wave. Since the electrons interact strongly, such phases are often studied using hydrodynamics or holography, which models them with black holes. We formulate their hydrodynamics and point out an ingredient missed before, the lattice pressure, which captures the crystal’s strain and thermal expansion. Holographic models must include it, and we use them to compute, for the first time, how such a crystal expands with temperature and charge.

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• On the Hydrodynamic Description of Holographic Viscoelastic Models

  M. Ammon, M. Baggioli, S. Gray, S. Grieninger, A. Jain

  Jan 2020 PLB 2001.05737 INSPIRE Cite

  Holographic models, which describe strongly interacting matter using black holes, are popular tools for studying strange metals and solid-like materials. Yet their behaviour did not quite match the hydrodynamics expected to describe them. We show that the missing ingredient is the “strain pressure”, a recently proposed transport coefficient: once it is included, hydrodynamics reproduces all the slow vibrations of these black holes. Even when the strain pressure vanishes in equilibrium, its change with temperature still matters, completing the match between the two descriptions.

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• Viscoelastic hydrodynamics and holography

  J. Armas, A. Jain

  Aug 2019 JHEP 1908.01175 INSPIRE Cite

  Most materials respond to being deformed partly like a solid, springing back, and partly like a liquid, flowing: they are viscoelastic. Despite a century of study, it has mostly been described by models built from springs and dashpots. We derive the nonlinear theory of viscoelastic crystals and liquid crystals from first principles, including all dissipative effects at leading order, and recover the classic Kelvin–Voigt model as a special case. We show that the same physics can be described as a superfluid of a higher-form symmetry, and build holographic models for both descriptions.

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• Holographic reconstruction of bubble spacetimes

  P. Burda, R. Gregory, A. Jain

  Apr 2018 PRD 1804.05202 INSPIRE Cite

  In holography, gravity in a spacetime is equivalent to a quantum theory living on its boundary, and a central question is how to reconstruct the spacetime from boundary data, such as the pattern of quantum entanglement. Proposed recipes had mostly been tested on very simple spacetimes. We test two of them, “hole-ography” and light-cone cuts, on spacetimes containing a thin bubble of matter. Light-cone cuts work within their limits, but hole-ography cannot fully capture the bubble, which casts a “shadow” that the shortest paths between boundary points only partly probe.

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• Dyonic Black Hole and Holography

  S. Dutta, A. Jain, R. Soni

  Oct 2013 JHEP 1310.1748 INSPIRE Cite

  Through holography, a black hole can describe a hot, strongly interacting quantum system living on the boundary of its spacetime. We study a dyonic black hole, which carries both electric and magnetic charge, to learn about the magnetic properties of such a two-dimensional system. The black hole’s phase diagram mirrors that of an everyday liquid and gas, with small and large black holes playing the roles of liquid and gas. The dual system behaves like a ferromagnet when no magnetic field is applied, and is paramagnetic or diamagnetic depending on the field and temperature.

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Talks