The quantum phases of matter

Details The quantum phases of matter The quantum phases of matter

2012-03-20

arxiv.org/abs/1203.4565v3

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 21 figures; Rapporteur presentation at the 25th Solvay Conference on Physics, "The Theory of the Quantum World", Bru

Scientific paper

I present a selective survey of the phases of quantum matter with varieties of many-particle quantum entanglement. I classify the phases as gapped, conformal, or compressible quantum matter. Gapped quantum matter is illustrated by a simple discussion of the Z_2 spin liquid, and connections are made to topological field theories. I discuss how conformal matter is realized at quantum critical points of realistic lattice models, and make connections to a number of experimental systems. Recent progress in our understanding of compressible quantum phases which are not Fermi liquids is summarized. Finally, I discuss how the strongly-coupled phases of quantum matter may be described by gauge-gravity duality. The structure of the large N limit of SU(N) gauge theory, coupled to adjoint fermion matter at non-zero density, suggests aspects of gravitational duals of compressible quantum matter.

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