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We show that a non-Hermitian two coupled Sachdev-Ye-Kitaev (SYK) model can provide thermodynamic structure equivalent to Hermitian two coupled SYK model. The energy spectrum, the entanglement degree of the ground states and the low energy…

高能物理 - 理论 · 物理学 2022-11-21 Wenhe Cai , Sizheng Cao , Xian-Hui Ge , Masataka Matsumoto , Sang-Jin Sin

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…

强关联电子 · 物理学 2026-02-03 Aravindh S. Shankar , Jasper Steenbergen , Stephan Plugge , Koenraad Schalm

The Sachdev-Ye-Kitaev (SYK) model, a theory of N Majorana fermions with q-body interactions, becomes in the large q limit a conformally-broken Liouville field theory. Taking this limit preserves many interesting properties of the model, yet…

高能物理 - 理论 · 物理学 2020-03-18 Alexandre Streicher

Motivated by recent studies of the information paradox in (1+1)-D anti-de Sitter spacetime with a bath described by a (1+1)-D conformal field theory, we study the dynamics of second R\'{e}nyi entropy of the Sachdev-Ye-Kitaev (SYK) model…

高能物理 - 理论 · 物理学 2020-11-04 Yiming Chen , Xiao-Liang Qi , Pengfei Zhang

The Sachdev-Ye-Kitaev (SYK) model is a disordered quantum mean-field model studied in condensed matter physics and the holographic theory of black holes. Its structural properties can be derived heuristically using a combination of the…

无序系统与神经网络 · 物理学 2026-05-05 David Gamarnik , Francisco Pernice , Alexander Schmidhuber , Alexander Zlokapa

Inhomogeneous quantum chains have recently been considered in the context of developing novel discrete realizations of holographic dualities. To advance this programme, we explore the ground states of infinite chains with large number $N$…

高能物理 - 理论 · 物理学 2025-02-25 Pablo Basteiro , Giuseppe Di Giulio , Johanna Erdmenger , René Meyer , Zhuo-Yu Xian

We study the complex Sachdev-Ye-Kitaev (cSYK) numerically and investigate thermodynamic behavior of cSYK model across varying chemical potentials. We discover that the cSYK model remarkably mirrors the first-order phase transition seen in…

高能物理 - 理论 · 物理学 2025-01-03 Sizheng Cao , Xian-Hui Ge , Yi-Cheng Rui

We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The…

强关联电子 · 物理学 2022-12-06 Debanjan Chowdhury , Antoine Georges , Olivier Parcollet , Subir Sachdev

The traversable wormhole protocol in coupled Sachdev-Ye-Kitaev (SYK) systems produces a transmission signal C(t) widely interpreted as evidence of holographic dynamics. Recent work has questioned this interpretation, showing that similar…

量子物理 · 物理学 2026-05-14 Sagar Dubey

We study some general properties of coupled quantum systems. We consider simple interactions between two copies of identical Hamiltonians such as the SYK model, Pauli spin chains with random magnetic field and harmonic oscillators. Such…

高能物理 - 理论 · 物理学 2021-03-10 Fabien Alet , Masanori Hanada , Antal Jevicki , Cheng Peng

Given a class of $q$-local Hamiltonians, is it possible to find a simple variational state whose energy is a finite fraction of the ground state energy in the thermodynamic limit? Whereas product states often provide an affirmative answer…

强关联电子 · 物理学 2021-04-15 Arijit Haldar , Omid Tavakol , Thomas Scaffidi

The Sachdev--Ye--Kitaev is a quantum mechanical model of $N$ Majorana fermions which displays a number of appealing features -- solvability in the strong coupling regime, near-conformal invariance and maximal chaos -- which make it a…

高能物理 - 理论 · 物理学 2019-12-17 Stéphane Dartois , Harold Erbin , Swapnamay Mondal

The complex Sachdev-Ye-Kitaev (cSYK) model is a charge-conserving model of randomly interacting fermions. The interaction term can be chosen such that the model exhibits chiral symmetry. Then, depending on the charge sector and the number…

高能物理 - 理论 · 物理学 2020-03-24 Jan Behrends , Benjamin Béri

The chiral SYK model is an 1+1 dimensional generalisation of the Sachdev-Ye-Kitaev model with chiral Majorana fermions and homogeneous random interactions. In the large N limit, the model admits an exact solution of the two-point function…

高能物理 - 理论 · 物理学 2026-01-27 Avik Chakraborty , Manavendra Mahato

Quantum error correction (QEC) codes are fundamentally linked to quantum phases of matter: the degenerate ground state manifold corresponds to the code space, while topological excitations represent error syndromes. Building on this…

量子物理 · 物理学 2024-11-01 Jaewon Kim , Ehud Altman , Jong Yeon Lee

We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. Instead of satisfying a continuous Gaussian distribution, the interaction strengths are assumed to be chosen from discrete…

无序系统与神经网络 · 物理学 2020-09-07 Ye Cao , Yi-Neng Zhou , Ting-Ting Shi , Wei Zhang

Previous work on Jackiw-Teitelboim (JT) gravity has shown that, at low temperatures, the annealed entropy becomes negative and departs from the quenched entropy. From the perspective of the random-matrix theory (RMT) dual of JT gravity,…

高能物理 - 理论 · 物理学 2026-04-28 Bowen Ouyang , Pratik Rath

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…

介观与纳米尺度物理 · 物理学 2018-10-09 N. V. Gnezdilov , J. A. Hutasoit , C. W. J. Beenakker

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…

高能物理 - 理论 · 物理学 2020-11-05 Pengfei Zhang

The eigenstate thermalization hypothesis (ETH) explains how closed unitary quantum systems can exhibit thermal behavior in pure states. In this work we examine a recently proposed microscopic model of a black hole in AdS$_2$, the so-called…

高能物理 - 理论 · 物理学 2018-02-01 Julian Sonner , Manuel Vielma