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A maximum entropy theorem is developed and tested for granular contact forces. Although it is idealized, describing two dimensional packings of round, rigid, frictionless, cohesionless disks with coordination number Z=4, it appears to…

Statistical Mechanics · Physics 2015-06-25 Philip T. Metzger

Chaotic dynamics in quantum many-body systems scrambles local information so that at late times it can no longer be accessed locally. This is reflected quantitatively in the out-of-time-ordered correlator of local operators, which is…

Quantum Physics · Physics 2019-07-10 Yichen Huang , Fernando G. S. L. Brandao , Yong-Liang Zhang

Within holography, we calculate the contribution of an arbitrary spin-s gauge boson exchange in $AdS_{d+1}$ to the four-point function with scalar operators on the boundary. As an important ingredient, we first compute the complete…

High Energy Physics - Theory · Physics 2014-12-25 Xavier Bekaert , Johanna Erdmenger , Dmitry Ponomarev , Charlotte Sleight

Causal inequalities are bounds on correlations obtained when operations take place in a causal sequence, i.e. in which the background time or definite causal structure pre-exists such that every operation is either in the future, in the…

Quantum Physics · Physics 2015-09-22 Caslav Brukner

We analyze boundary spin correlation functions of the hyperbolic-lattice Ising model from the holographic point of view. Using the corner-transfer-matrix renormalization group (CTMRG) method, we demonstrate that the boundary correlation…

Statistical Mechanics · Physics 2024-09-23 Kouichi Okunishi , Tomotoshi Nishino

We aim to establish the holographic principle as a universal law, rather than a property only of static systems and special space-times. Our covariant formalism yields an upper bound on entropy which applies to both open and closed…

High Energy Physics - Theory · Physics 2011-04-15 Raphael Bousso

In this Essay, we will look at the relation between the No Transmission principle and the Strong cosmic censorship (SCC), which we will highlight in the background of quantum gravity. We show that taking quantum gravity into account, one…

High Energy Physics - Theory · Physics 2023-04-05 Vaibhav Kalvakota

The concept of structural invariance previously introduced by the authors is used to argue that the connection between random matrix theory and quantum systems with a chaotic classical counterpart is in fact largely exact in the…

chao-dyn · Physics 2008-02-03 F. Leyvraz , T. H. Seligman

We study the inelastic collapse in the one-dimensional $N$-particle systems in the situation where the system is driven from below under the gravity. We investigate the hard-sphere limit of the inelastic soft-sphere systems by numerical…

Soft Condensed Matter · Physics 2015-06-15 Jun'ichi Wakou , Hiroyuki Kitagishi , Takahiro Sakaue , Hiizu Nakanishi

An initially homogeneous freely evolving fluid of inelastic hard spheres develops inhomogeneities in the flow field (vortices) and in the density field (clusters), driven by unstable fluctuations. Their spatial correlations, as measured in…

Statistical Mechanics · Physics 2009-10-30 J. A. G. Orza , R. Brito , T. P. C. Van Noije , M. H. Ernst

Full general relativity is almost certainly 'chaotic'. We argue that this entails a notion of nonintegrability: a generic general relativistic model, at least when coupled to cosmologically interesting matter, likely possesses neither…

General Relativity and Quantum Cosmology · Physics 2017-06-01 Bianca Dittrich , Philipp A. Hoehn , Tim A. Koslowski , Mike I. Nelson

Out-of-time-ordered correlation functions (OTOC's) are presently being extensively debated as quantifiers of dynamical chaos in interacting quantum many-body systems. We argue that in quantum spin and fermionic systems, where all local…

Statistical Mechanics · Physics 2017-08-23 Ivan Kukuljan , Sašo Grozdanov , Tomaž Prosen

The conjectured holographic duality between vector models with quartic interaction and higher-spin field theory in the bulk is reviewed, with emphasis on some versions and generalisations (higher dimensions, beyond the singlet sector, etc)…

High Energy Physics - Theory · Physics 2016-01-20 Xavier Bekaert , Euihun Joung , Jihad Mourad

Holography has provided valuable insights into the time evolution of strongly coupled gauge theories in a fixed spacetime. However, this framework is insufficient if this spacetime is dynamical. We present a scheme to evolve a…

High Energy Physics - Theory · Physics 2022-03-30 Christian Ecker , Wilke van der Schee , David Mateos , Jorge Casalderrey-Solana

The environment of an open quantum system is usually modelled as a large many-body quantum system. However, when an isolated quantum system itself is a many-body quantum system, the question of how large and complex it must be in order to…

Quantum Physics · Physics 2021-02-17 Nicolás Mirkin , Diego Wisniacki

The spatiotemporal chaos in the system described by a one-dimensional nonlinear drift-wave equation is controlled by directly adding a periodic force with appropriately chosen frequencies. By dividing the solution of the system into a…

chao-dyn · Physics 2009-10-31 Shunguang Wu , Kaifen He , Zuqia Huang

The Horndeski gauge-gravity coupling is the leading non-minimal interaction between gravity and gauge bosons, and it preserves all the symmetries and the number of physical degrees of freedom of the standard model of particle physics and…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-27 Alireza Allahyari , Mohammad Ali Gorji , Shinji Mukohyama

The behaviour of a chaotic system and its effect on existing quantum correlation has been holographically studied in presence of non-conformality. Keeping in mind the gauge/gravity duality framework, the non-conformality in the dual field…

High Energy Physics - Theory · Physics 2024-07-29 Ashis Saha , Sunandan Gangopadhyay

We construct a unified semiclassical theory of charge and spin transport in chaotic ballistic and disordered diffusive mesoscopic systems with spin-orbit interaction. Neglecting dynamic effects of spin-orbit interaction, we reproduce the…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 I. Adagideli , Ph. Jacquod , M. Scheid , M. Duckheim , D. Loss , K. Richter

We develop a quantum kinetic theory for QCD, which incorporates all leading order collision terms. At lowest order in gradient expansion, it reproduces the spin-averaged Boltzmann equation with both elastic and inelastic collisions. At next…

High Energy Physics - Phenomenology · Physics 2026-03-05 Shu Lin
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