Holographic Quantum Matter

By S. Hartnoll, Andrew Lucas, S. Sachdev. 2016

589 citations recorded by the source corpus.

We present a review of theories of states of quantum matter without quasiparticle excitations. Solvable examples of such states are provided through a holographic duality with gravitational theories in an emergent spatial dimension. We review the duality between gravitational backgrounds and the various states of quantum matter which live on the boundary. We then describe quantum matter at a fixed commensurate density (often described by conformal field theories), and also compressible quantum matter with variable density, providing an extensive discussion of transport in both cases. We present a unified discussion of the holographic theory of transport with memory matrix and hydrodynamic methods, allowing a direct connection to experimentally realized quantum matter. We also explore other important challenges in non-quasiparticle physics, including symmetry broken phases such as superconductors and non-equilibrium dynamics.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f42bcae8c02f3bbe0b8566b5559e594684232b61

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Planckian dissipation, minimal viscosity and the transport in cuprate strange metals (2018, background): “ the strong disorder limit [21] and very general scaling considerations that even get beyond holography [60]. This came to fruition after the deadline of our book and I recommend the more recent ref. [8] as the best source for this vast literature that is presently available. The special merit of th”
The complex life of hydrodynamic modes (2019, background): “[36–39] for an introduction to the holographic duality and applications).”
The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond (2019, background): “Although it is not clear what microscopic systems can be described with holography, these theories have the clear advantage of describing metallic states without well defined quasiparticles (163).”
Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation (2017, background): “Such behavior is expected also in clean systems at times longer than the coherence time of charged quasi-particle excitations [33–35] (which can be very short, for example at high temperatures [22]), or in systems that do not possess well defined quasi-particles at all [40].”
Angle-resolved photoemission studies of quantum materials (2020, unknown): “ et al., 2017; Jiang and Devereaux, 2019; White et al., 1989; Zheng et al., 2017), cold atom simulations (Brown et al., 2019) and application of holographic principles to strongly correlated systems (Hartnoll et al., 2018; Zaanen et al., 2015). As a strongly correlated single-band material that can ”
Notes on the complex Sachdev-Ye-Kitaev model (2019, background): “In the holographic description, the asymptotically AdSd+2 spacetime crosses over to a charged black hole with a with a near-horizon AdS2× Sd geometry [37,5,55], which was identified with the physics of SYK models [9].”