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We consider asymptotic orbit-counting problems for certain expansive actions by commuting automorphisms of compact groups. A dichotomy is found between systems with asymptotically more periodic orbits than the topological entropy predicts,…

Dynamical Systems · Mathematics 2010-06-01 Richard Miles , Thomas Ward

We discuss the semiclassical limit of the entanglement for the class of closed pure systems. By means of analytical and numerical calculations we obtain two main results: (i) the short-time entanglement does not depend on Planck's constant…

Quantum Physics · Physics 2009-11-10 Renato M. Angelo , Kyoko Furuya

We compute the half-wormhole contribution in a complex SYK model with one time point. When the chemical potential is zero, the result is similar to two decoupled Majorana SYK models. There's a disk contribution in a single copy of the…

High Energy Physics - Theory · Physics 2025-09-09 Yingyu Yang

Inspired by the recent interest in the Sachdev-Ye-Kitaev (SYK) model we study a class of multi-flavored one- and two-band fermion systems with no bare dispersion. In contrast to the previous work on the SYK model that would routinely assume…

Strongly Correlated Electrons · Physics 2018-11-16 D. V. Khveshchenko

We argue that the SYK model provides a conditional realization of Cryptographic Censorship in JT gravity. By using the Weingarten calculus and random matrix universality, we prove that the SYK disorder ensemble is an approximate unitary…

High Energy Physics - Theory · Physics 2026-05-26 Pouya Golmohammadi

We report full agreement between the Bekenstein-Hawking semiclassical entropy and Cardy's formula for black holes in 3d (massive) bigravity. Since this theory does have local bulk local excitations (a massive graviton) and black holes are…

General Relativity and Quantum Cosmology · Physics 2011-12-02 Máximo Bañados , Miguel Pino

The gravity-scalar field system in spherical symmetry provides a natural setting for exploring gravitational collapse and its aftermath in quantum gravity. In a canonical approach, we give constructions of the constraint and Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Daniel R. Terno

We study non-equilibrium dynamics induced by a sudden quench of strongly correlated Hamiltonians with all-to-all interactions. By relying on a Sachdev-Ye-Kitaev (SYK) based quench protocol, we show that the time evolution of simple…

Quantum Physics · Physics 2021-06-14 Matteo Carrega , Joonho Kim , Dario Rosa

System of Majorana zero modes with random infinite range interactions -- the Sachdev-Ye-Kitaev (SYK) model -- is thought to exhibit an intriguing relation to the horizons of extremal black holes in two-dimensional anti-de Sitter (AdS$_2$)…

Disordered Systems and Neural Networks · Physics 2017-07-18 D. I. Pikulin , M. Franz

The first objective of this article is to show that the black hole partition function can be placed on a firm logical foundation by enclosing the black hole in a spatially finite "box" or boundary. The presence of the box has the effect of…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. D. Brown , J. W. York

We study the homogeneous gravitational collapse of a spherical cloud of matter in a super-renormalizable and asymptotically free theory of gravity. We find a picture that differs substantially from the classical scenario. The central…

General Relativity and Quantum Cosmology · Physics 2014-02-21 Cosimo Bambi , Daniele Malafarina , Leonardo Modesto

We study the dynamical generation of randomness in Brownian systems as a function of the degree of locality of the Hamiltonian. We first express the trace distance to a unitary design for these systems in terms of an effective equilibrium…

High Energy Physics - Theory · Physics 2025-01-30 Shiyong Guo , Martin Sasieta , Brian Swingle

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

High Energy Physics - Theory · Physics 2025-01-29 Yuki Yokokura

We define the analytic continuation of the number of black hole microstates in Loop Quantum Gravity to complex values of the Barbero-Immirzi parameter $\gamma$. This construction deeply relies on the link between black holes and…

General Relativity and Quantum Cosmology · Physics 2014-06-24 Jibril Ben Achour , Amaury Mouchet , Karim Noui

The threshold behaviour of the K-Satisfiability problem is studied in the framework of the statistical mechanics of random diluted systems. We find that at the transition the entropy is finite and hence that the transition itself is due to…

Condensed Matter · Physics 2009-10-28 Remi Monasson , Riccardo Zecchina

Sachdev-Ye-Kitaev (SYK) model has emerged as a new paradigm of the non-Fermi-liquid behavior. Here we investigate a possibility of having a superconducting off-diagonal long-range order (ODLRO) and a pseudogap phase within the SYK…

Strongly Correlated Electrons · Physics 2020-07-08 Hanteng Wang , A. L. Chudnovskiy , Alexander Gorsky , Alex Kamenev

At the classical level, two-dimensional dilaton gravity coupled to an abelian gauge field has charged black hole solutions, which have much in common with four-dimensional Reissner-Nordstrom black holes, including multiple asymptotic…

High Energy Physics - Theory · Physics 2009-11-11 Andrei V. Frolov , Kristjan R. Kristjansson , Larus Thorlacius

In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with $U(1)$ charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping…

High Energy Physics - Theory · Physics 2020-11-30 Pengfei Zhang

In this letter, we study the return amplitude, which is the overlap between the initial state and the time evolved state, in the Sachdev-Ye-Kitaev (SYK) model. Initial states are taken to be product states in a spin basis. We numerically…

High Energy Physics - Theory · Physics 2019-12-25 Tokiro Numasawa

Systems of enhanced memory capacity are subjected to a universal effect of memory burden, which suppresses their decay. In this paper, we study a prototype model to show that memory burden can be overcome by rewriting stored quantum…

High Energy Physics - Theory · Physics 2022-07-18 Gia Dvali , Lukas Eisemann , Marco Michel , Sebastian Zell
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