Under the Extended Uncertainty Principle, position variance saturates, and the entanglement entropy of harmonic chains and massless scalar fields saturates to a finite value with a discrete, evenly gapped entanglement spectrum.
The quantum phases of matter
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Resolution of Infrared Entanglement Divergences via the Extended Uncertainty Principle
Under the Extended Uncertainty Principle, position variance saturates, and the entanglement entropy of harmonic chains and massless scalar fields saturates to a finite value with a discrete, evenly gapped entanglement spectrum.