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Related papers: Thermalization of Randomly Coupled SYK Models

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In this work we study the time evolutions of (Renyi) entanglement entropy of locally excited states in two dimensional conformal field theories (CFTs) at finite temperature. We consider excited states created by acting with local operators…

High Energy Physics - Theory · Physics 2015-06-23 Pawel Caputa , Joan Simon , Andrius Stikonas , Tadashi Takayanagi

In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with a time-dependent bilinear coupling. For a quantum quench problem with an initial state of the thermofield double state, we show…

High Energy Physics - Theory · Physics 2021-04-28 Yuri D. Lensky , Xiao-Liang Qi

Strongly correlated metals comprise an enduring puzzle at the heart of condensed matter physics. Commonly a highly renormalized heavy Fermi liquid occurs below a small coherence scale, while at higher temperatures a broad incoherent regime…

Strongly Correlated Electrons · Physics 2017-11-29 Xue-Yang Song , Chao-Ming Jian , Leon Balents

We investigate the replica problem for Sachdev-Ye-Kitaev (SYK) models. First, we consider $n-$replicas of the non-supersymmetric SYK model, finding that this $n$-replica model is solvable only under specific conditions. We then introduce…

High Energy Physics - Theory · Physics 2025-08-14 Xian-Hui Ge , Chenhao Zhang

We study the preparation of thermal states of the dense and sparse Sachdev-Ye-Kitaev (SYK) model using a variational quantum algorithm for $6 \le N \le 12$ Majorana fermions over a wide range of temperatures. Utilizing IBM's 127-qubit…

Quantum Physics · Physics 2024-10-22 Jack Y. Araz , Raghav G. Jha , Felix Ringer , Bharath Sambasivam

The quantum thermalization of the Jaynes-Cummings (JC) model in both equilibrium and non-equilibrium open-system cases is sdudied, in which the two subsystems, a two-level system and a single-mode bosonic field, are in contact with either…

Quantum Physics · Physics 2020-08-04 Li-Bao Fan , Yue-Hui Zhou , Fen Zou , Huan Guo , Jin-Feng Huang , Jie-Qiao Liao

In this paper, we study the entanglement entropy between two SYK systems with bilinear coupling. We use the replica trick to calculate the entanglement entropy in the ground state. In parallel, we calculate the entanglement entropy through…

High Energy Physics - Theory · Physics 2019-07-24 Yiming Chen , Pengfei Zhang

The Eigenstate Thermalization Hypothesis (ETH) is a framework for discussing thermal behavior originating from chaotic dynamics in isolated many-body quantum systems. The PXP model, where certain states do not thermalize, has been compared…

Quantum Physics · Physics 2025-03-17 Maanav Srihari , Anil Shaji

Nonequilibrium dynamics of a nonintegrable system without the eigenstate thermalization hypothesis is studied. It is shown that, in the thermodynamic limit, this model thermalizes after an arbitrary quantum quench at finite temperature,…

Statistical Mechanics · Physics 2017-09-06 Takashi Mori , Naoto Shiraishi

The Sachdev-Ye-Kitaev (SYK) model provides an analytically tractable framework for exotic strongly correlated phases where conventional paradigms like Landau's Fermi liquid theory collapse. This review offers a pedagogical introduction to…

High Energy Physics - Theory · Physics 2025-07-16 Rishabh Jha

We study the out-of-equilibrium dynamics of a Sachdev-Ye-Kitaev (SYK) model, $N$ fermions with a $q$-body interaction of infinite range, coupled to a Markovian environment. Close to the infinite-temperature steady state, the real-time…

High Energy Physics - Theory · Physics 2023-05-05 Antonio M. García-García , Lucas Sá , Jacobus J. M. Verbaarschot , Jie Ping Zheng

We study the dynamics of chaos across the phase transition in a 2-coupled Sachdev-Ye-Kitaev (SYK) model, with a focus on the unstable "hot wormhole" phase. Using the Schwinger-Keldysh formalism, we employ two non-equilibrium protocols that…

High Energy Physics - Theory · Physics 2025-04-30 Martí Berenguer , Javier Mas , Juan Santos-Suárez , Alfonso V. Ramallo

The Sachdev-Ye-Kitaev (SYK) model is a rare example of a strongly-interacting system that is analytically tractable. Tractability arises because the model is largely structureless by design and therefore artificial: while the interaction is…

Disordered Systems and Neural Networks · Physics 2021-05-24 Johannes Dieplinger , Soumya Bera , Ferdinand Evers

The Sachdev-Ye-Kitaev (SYK) model, known for its strong quantum correlations and chaotic behavior, serves as a key platform for quantum gravity studies. However, variationally preparing thermal states on near-term quantum processors for…

Quantum Physics · Physics 2025-06-05 Akash Kundu

Estimating local observables in Gibbs states is a central problem in quantum simulation. While this task is BQP-complete at asymptotically low temperatures, the possibility of quantum advantage at constant temperature remains open. The…

Quantum Physics · Physics 2026-04-24 Alexander Zlokapa

We study the thermalizing properties of the mass-deformed SYK model, in a regime of parameters where the eigenstates are ergodically extended over just portions of the full Fock space, as an all-to-all toy model of many-body localization.…

Strongly Correlated Electrons · Physics 2023-01-11 Dillip Kumar Nandy , Tilen Cadez , Barbara Dietz , Alexei Andreanov , Dario Rosa

We construct Brownian Sachdev-Ye-Kitaev (SYK) chains subjected to continuous monitoring and explore possible entanglement phase transitions therein. We analytically derive the effective action in the large-$N$ limit and show that an…

Strongly Correlated Electrons · Physics 2021-09-30 Shao-Kai Jian , Chunxiao Liu , Xiao Chen , Brian Swingle , Pengfei Zhang

It has been known that the large-$q$ complex SYK model falls under the same universality class as that of van der Waals (mean-field) and saturates the Maldacena-Shenker-Stanford bound, both features shared by various black holes. This makes…

High Energy Physics - Theory · Physics 2024-09-20 Jan C. Louw , Linda M. van Manen , Rishabh Jha

The long time accumulation of the \textit{random} actions of a single particle "reservoir" on its coupled system can transfer some temperature information of its initial state to the coupled system. This dynamic process can be referred to…

Quantum Physics · Physics 2013-05-29 Jie-Qiao Liao , H. Dong , C. P. Sun

We investigate ground-state and finite temperature properties of the mixed-spin $(s, S)$ Kitaev model. When one of spins is half-integer and the other is integer, we introduce two kinds of local symmetries, which results in a macroscopic…

Strongly Correlated Electrons · Physics 2019-09-11 Akihisa Koga , Joji Nasu