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The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. In this work, we study the thermal R\'enyi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$…

Strongly Correlated Electrons · Physics 2020-07-01 Pengfei Zhang , Chunxiao Liu , Xiao Chen

We propose a low energy model for simulating an analog black hole on an optical lattice using ultracold atoms. Assuming the validity of the holographic principle, we employ the Sachdev-Ye-Kitaev (SYK) model, which describes a system of…

General Physics · Physics 2025-08-25 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Martin H. Bacci , Eric Howard

Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement R\'enyi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use…

High Energy Physics - Theory · Physics 2020-11-05 Pengfei Zhang

Motivated by recent experiments, which allow for fine tuning of the effective magnetic interaction between the impurity and the superconductor, we investigate the regime around the quantum phase transition where the system's ground state…

Superconductivity · Physics 2025-10-30 Andreas Theiler , Christian R. Ast , Annica M. Black-Schaffer

We show that two Yukawa-SYK models with a weak tunneling contact can have an exotic hybrid superconducting thermofield-double-like state that is holographically dual to a traversable wormhole connecting two black holes with charged scalar…

Strongly Correlated Electrons · Physics 2026-02-03 Aravindh S. Shankar , Jasper Steenbergen , Stephan Plugge , Koenraad Schalm

The Sachdev-Ye-Kitaev (SYK) model, has emerged as a powerful tool for exploring the quantum nature of black holes, particularly their residual entropy at zero temperature. In this work, we investigate the role of long-range interactions in…

Strongly Correlated Electrons · Physics 2024-12-11 Andrea Solfanelli , Francesco Petocchi , Nicolò Defenu

Multi-spinning higher dimensional Kerr-AdS black holes admit the stable small-large black hole phase transition of van der Waals type. In this paper, we study the exact critical phenomena and phase structure in five-dimensional spacetime.…

General Relativity and Quantum Cosmology · Physics 2019-09-27 Shao-Wen Wei , Yu-Xiao Liu

Phase transitions in charged topological black holes dressed with a scalar field are studied. These black holes are solutions of the Einstein-Maxwell theory with a negative cosmological constant and a conformally coupled real…

High Energy Physics - Theory · Physics 2011-01-17 Cristian Martinez , Alejandra Montecinos

The Sachdev-Ye-Kitaev (SYK) model describes a strongly correlated metal with all-to-all random interactions (average strength $J$) between $N$ fermions (complex Dirac fermions or real Majorana fermions). In the large-$N$ limit a conformal…

Mesoscale and Nanoscale Physics · Physics 2018-10-09 N. V. Gnezdilov , J. A. Hutasoit , C. W. J. Beenakker

In this paper, we consider the classical Ising model on the Cayley tree of order k and show the existence of the phase transition in the following sense: there exists two quantum Markov states which are not quasi-equivalent. It turns out…

Mathematical Physics · Physics 2016-01-06 Luigi Accardi , Farrukh Mukhamedov , Mansoor Saburov

We study N =4 super Yang-Mills theories on a three sphere with two kinds of chemical potentials. One is associated with the R-symmetry and the other with the rotational symmetry of S^3 (SO(4) symmetry). These correspond to the charged…

High Energy Physics - Theory · Physics 2008-12-18 Keiju Murata , Tatsuma Nishioka , Norihiro Tanahashi , Hikaru Yumisaki

The pressure-temperature phase diagram of a one-component system, with particles interacting through a spherically symmetric pair potential in two dimensions is studied. The interaction consists of a hard core plus an additional repulsion…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla

The phase diagram for quark matter is investigated within a simple Nambu-Jona-Lasinio model without vector correlations. It is found that the phase structure in the temperature-density plane depends sensitively on the parametrization of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Blaschke , M. K. Volkov , V. L. Yudichev

Overlap with the separable state is introduced in this paper for the purpose of characterizing the overall correlation in many-body systems. This definition has clear geometric and physical meaning, and moreover can be considered as the…

Quantum Physics · Physics 2015-05-18 H. T. Cui

We construct black hole geometries coexisting with anisotropic matter in (anti)-de Sitter spacetime. We specifically focus on the black hole phase transitions that occur in anti-de Sitter spacetime and analyze the effects of the…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Pakhlavon Yovkochev , Bobomurat J. Ahmedov , Bum-Hoon Lee , Hocheol Lee , Wonwoo Lee

Several condensed-matter platforms have been proposed recently to realize the Sachdev-Ye-Kitaev (SYK) model in their low-energy limit. In these proposed realizations, the characteristic SYK behavior is expected to occur under certain…

Strongly Correlated Electrons · Physics 2018-06-18 Étienne Lantagne-Hurtubise , Chengshu Li , Marcel Franz

The Euler-Heisenberg black holes with quantum electrodynamics (QED) correction are embraced by a cavity in this paper, which serves as a boundary of the black hole spacetime and contributes to the equilibrium of the system. We explore the…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Qin Yu , Qi Xu , Jun Tao

In this paper, we consider a linearly charged dilatonic black holes and study their thermodynamical behavior in the context of phase transition and thermodynamic geometry. We show that, depending on the values of the parameters, these type…

High Energy Physics - Theory · Physics 2015-11-25 S. H. Hendi , A. Sheykhi , S. Panahiyan , B. Eslam Panah

Many aspects of many-body localization (MBL) transitions remain elusive so far. Here, we propose a higher-dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model and show that it exhibits a MBL transition. The model on a bipartite…

Strongly Correlated Electrons · Physics 2017-11-17 Shao-Kai Jian , Hong Yao

The supermassive black holes found at the centers of galaxies are often surrounded by dense star clusters. The ages of these clusters are generally longer than the resonant-relaxation time and shorter than the two-body relaxation time over…

Astrophysics of Galaxies · Physics 2019-12-18 Scott Tremaine