8,537 research outputs found
Editorial: New Frontiers in Holographic Duality -- From quantum complexity and black holes to hydrodynamics and neutron stars
Over the last twenty five years, holographic duality has revolutionised our
understanding of gauge theories, quantum many-body systems and also quantum
black holes. This topical issue is a collection of review articles on recent
advances in fundamentals of holographic duality and its applications with
special focus on a few areas where it is inter-disciplinary to a large measure.
The aim is to provide a sufficient background on relevant phenomenology and
other theoretical areas such as quantum information theory to researchers whose
primary expertise is in quantum fields, strings and gravity, and also the
necessary concepts and methods of holography to researchers in other fields, so
that these recent developments could be grasped and hopefully further developed
by a wider community. The topics relating to fundamental aspects include
understanding of bulk spacetime reconstruction in holography in the framework
of quantum error correction along with the spectacular advances in resolution
of the information paradoxes of quantum black holes; quantum complexity and its
fundamental role in connecting holography with quantum information theory;
theoretical and experimental advances in quantum simulators for information
mirroring and scrambling in quantum black holes, and teleportation via
wormholes; and a pedagogical review on wormholes also. The topics related to
applied holography include applications to hydrodynamic attractor and its
phenomenological implications, modelling of equation of state of QCD matter in
neutron stars, and finally estimating hadronic contribution to light-by-light
scattering for theoretical computation of the muon's .Comment: 4 pages; Editorial for the special topical issue "New Frontiers in
Hologrpahic Duality" of EPJ
Information geometry in quantum field theory: lessons from simple examples
Motivated by the increasing connections between information theory and
high-energy physics, particularly in the context of the AdS/CFT correspondence,
we explore the information geometry associated to a variety of simple systems.
By studying their Fisher metrics, we derive some general lessons that may have
important implications for the application of information geometry in
holography. We begin by demonstrating that the symmetries of the physical
theory under study play a strong role in the resulting geometry, and that the
appearance of an AdS metric is a relatively general feature. We then
investigate what information the Fisher metric retains about the physics of the
underlying theory by studying the geometry for both the classical 2d Ising
model and the corresponding 1d free fermion theory, and find that the curvature
diverges precisely at the phase transition on both sides. We discuss the
differences that result from placing a metric on the space of theories vs.
states, using the example of coherent free fermion states. We compare the
latter to the metric on the space of coherent free boson states and show that
in both cases the metric is determined by the symmetries of the corresponding
density matrix. We also clarify some misconceptions in the literature
pertaining to different notions of flatness associated to metric and non-metric
connections, with implications for how one interprets the curvature of the
geometry. Our results indicate that in general, caution is needed when
connecting the AdS geometry arising from certain models with the AdS/CFT
correspondence, and seek to provide a useful collection of guidelines for
future progress in this exciting area.Comment: 36 pages, 2 figures; added new section and appendix, miscellaneous
improvement
Quantum Holography
We propose to make use of quantum entanglement for extracting holographic
information about a remote 3-D object in a confined space which light enters,
but from which it cannot escape. Light scattered from the object is detected in
this confined space entirely without the benefit of spatial resolution. Quantum
holography offers this possibility by virtue of the fourth-order quantum
coherence inherent in entangled beams.Comment: 7 pages, submitted to Optics Expres
Gravity from the entropy of light
The holographic principle, considered in a semiclassical setting, is shown to
have direct consequences on physics at a fundamental level. In particular, a
certain relation is pointed out to be the expression of holography in basic
thermodynamics. It is argued moreover that through this relation holography can
be recognized to induce gravity, and an expression for the gravitational
lensing is obtained in terms of entropy over wavelength of black-body
radiation, or, at a deeper level, in terms of maximum entropy over associated
space to the elementary bit of information.Comment: 7 pages; v2: completion of the list of references; v3: the discussion
is divided in Sections and the argument is described in more detail; v4: a
statement is added (below eq.13) on what is the supposed difference between
Jacobson's work in ref.21 and this attempt; addition of a paragraph in last
Sectio
Fractal Holography: a geometric re-interpretation of cosmological large scale structure
The fractal dimension of large-scale galaxy clustering has been demonstrated
to be roughly from a wide range of redshift surveys. If correct,
this statistic is of interest for two main reasons: fractal scaling is an
implicit representation of information content, and also the value itself is a
geometric signature of area. It is proposed that the fractal distribution of
galaxies may thus be interpreted as a signature of holography (``fractal
holography''), providing more support for current theories of holographic
cosmologies. Implications for entropy bounds are addressed. In particular,
because of spatial scale invariance in the matter distribution, it is shown
that violations of the spherical entropy bound can be removed. This holographic
condition instead becomes a rigid constraint on the nature of the matter
density and distribution in the Universe. Inclusion of a dark matter
distribution is also discussed, based on theoretical considerations of possible
universal CDM density profiles.Comment: 13 pp, LaTeX. Revised version; to appear in JCA
The holographic principle
There is strong evidence that the area of any surface limits the information
content of adjacent spacetime regions, at 10^(69) bits per square meter. We
review the developments that have led to the recognition of this entropy bound,
placing special emphasis on the quantum properties of black holes. The
construction of light-sheets, which associate relevant spacetime regions to any
given surface, is discussed in detail. We explain how the bound is tested and
demonstrate its validity in a wide range of examples.
A universal relation between geometry and information is thus uncovered. It
has yet to be explained. The holographic principle asserts that its origin must
lie in the number of fundamental degrees of freedom involved in a unified
description of spacetime and matter. It must be manifest in an underlying
quantum theory of gravity. We survey some successes and challenges in
implementing the holographic principle.Comment: 52 pages, 10 figures, invited review for Rev. Mod. Phys; v2:
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