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Related papers: Universal equilibration dynamics of the Sachdev-Ye…

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We study a description of the large N limit of the Sachdev-Ye-Kitaev (SYK) model in terms of quantum mechanics without quenched disorder. Instead of random couplings, we introduce massive scalar fields coupled to fermions, and study a small…

High Energy Physics - Theory · Physics 2017-11-28 Takahiro Nishinaka , Seiji Terashima

All-to-all interacting and disordered many-body systems are notoriously hard to simulate on quantum platforms, as interactions are commonly mediated by auxiliary degrees of freedom that lower the amount of disorder, introducing undesired…

Non-equilibrium quantum many-body systems, which are difficult to study via classical computation, have attracted wide interest. Quantum simulation can provide insights into these problems. Here, using a programmable quantum simulator with…

Utilizing singular value decomposition, our investigation focuses on the spectrum of the singular values within a sparse non-Hermitian Sachdev-Ye-Kitaev (SYK) model. Unlike the complex eigenvalues typical of non-Hermitian systems, singular…

Quantum Physics · Physics 2025-02-25 Pratik Nandy , Tanay Pathak , Masaki Tezuka

We investigate the non-equilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the $q\rightarrow\infty$ limit, where $q/2$ denotes the order of the random Dirac fermion interaction. We extend previous results by Eberlein et al.…

Strongly Correlated Electrons · Physics 2022-02-17 Jan C. Louw , Stefan Kehrein

We suggest that the holographic principle, combined with recent technological advances in atomic, molecular, and optical physics, can lead to experimental studies of quantum gravity. As a specific example, we consider the Sachdev-Ye-Kitaev…

Quantum Gases · Physics 2017-09-07 Ippei Danshita , Masanori Hanada , Masaki Tezuka

The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence. Here we construct fermionic all-to-all Floquet quantum circuits of random four-body gates…

Disordered Systems and Neural Networks · Physics 2022-03-15 Jan Behrends , Benjamin Béri

Taking the quantum Kitaev chain as an example, we have studied the universal dynamical behaviors resulting from quantum criticality under the condition of environmental temperature quench. Our findings reveal that when the quantum parameter…

Quantum Physics · Physics 2026-01-21 Chengxiang Ding , Long Zhang

We study a generalization of `Yukawa models' in which Majorana fermions, interacting via all-to-all random couplings as in the Sachdev-Ye-Kitaev (SYK) model, are parametrically coupled to disordered bosonic degrees of freedom described by a…

Disordered Systems and Neural Networks · Physics 2026-04-20 Surajit Bera , Jorge Kurchan , Marco Schiro

The spectral fluctuations of quantum (or wave) systems with a chaotic classical (or ray) limit are mostly universal and faithful to random-matrix theory. Taking up ideas of Pechukas and Yukawa we show that equilibrium statistical mechanics…

Chaotic Dynamics · Physics 2022-10-12 Peter Braun , Sven Gnutzmann , Fritz Haake , Marek Kus , Karol Zyczkowski

The extraordinary neutrino flux produced in extreme astrophysical environments like the early universe, core-collapse supernovae and neutron star mergers may produce coherent quantum neutrino oscillations on macroscopic length scales. The…

High Energy Physics - Phenomenology · Physics 2022-04-29 Joshua D. Martin , A. Roggero , Huaiyu Duan , J. Carlson , V. Cirigliano

The Sachdev-Ye-Kitaev (SYK) model can be used to describe black holes (BHs) in two-dimensional nearly-anti-de-Sitter gravity. We show that when such BHs are perturbed by a time-dependent negative-energy perturbation, their interior can be…

High Energy Physics - Theory · Physics 2019-04-03 Ram Brustein , Yoav Zigdon

In a recent comment to the paper Chaotic Integrable transition in the SYK model, it was claimed that, in a certain region of parameters, the Lyapunov exponent of the N Majoranas Sachdev-Ye-Kitaev model with a quadratic perturbation, is…

Strongly Correlated Electrons · Physics 2021-03-15 Antonio M. García-García , Bruno Loureiro , Aurelio Romero-Bermúdez , Masaki Tezuka

The 0+1-d Sachdev-Ye-Kitaev (SYK) fermionic model attracts nowadays a wide spread interest of the Condensed Matter community, as a benchmark toy model for strong electron correlation and non Fermi Liquid behavior. It is exactly solvable in…

Strongly Correlated Electrons · Physics 2022-04-06 A. Tagliacozzo

We construct a series of one-dimensional non-unitary dynamics consisting of both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short-range entangled state, we analyze the entanglement dynamics using…

Strongly Correlated Electrons · Physics 2021-02-24 Chunxiao Liu , Pengfei Zhang , Xiao Chen

This paper presents a novel formalism for the out of equilibrium dynamics of the density matrix, capable of describing highly entangled many-body interactions. The evolution of quantum states is evaluated via eigenvalue dynamics of a…

Quantum Physics · Physics 2025-10-28 Mumnuna Aziz Qureshi

Universality is a powerful concept, which enables making qualitative and quantitative predictions in systems with extensively many degrees of freedom. It finds realizations in almost all branches of physics, including in the realm of…

Statistical Mechanics · Physics 2026-05-07 Lukas M. Sieberer , Michael Buchhold , Jamir Marino , Sebastian Diehl

We present a fully analytical description of a many body localization (MBL) transition in a microscopically defined model. Its Hamiltonian is the sum of one- and two-body operators, where both contributions obey a maximum-entropy principle…

Strongly Correlated Electrons · Physics 2021-01-13 Felipe Monteiro , Tobias Micklitz , Masaki Tezuka , Alexander Altland

We demonstrate equilibration of isolated many-body systems in the sense that, after initial transients have died out, the system behaves practically indistinguishable from a time-independent steady state, i.e., non-negligible deviations are…

Statistical Mechanics · Physics 2016-07-22 Ben N. Balz , Peter Reimann

The Sachdev-Ye-Kitaev model (SYK) is renowned for its short-time chaotic behavior, which plays a fundamental role in its application to various fields such as quantum gravity and holography. The Thouless energy, representing the energy…

Strongly Correlated Electrons · Physics 2024-01-17 Richard Berkovits