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We consider the Sachdev-Ye-Kitaev (SYK) model where interaction involves $q$ fermions at a time. We find the next order correction to the thermal two-point function in the large $q$ expansion. Using this result we find the next order…

High Energy Physics - Theory · Physics 2019-01-23 Grigory Tarnopolsky

Periodically driven quantum matter can realize exotic dynamical phases. In order to understand how ubiquitous and robust these phases are, it is pertinent to investigate the heating dynamics of generic interacting quantum systems. Here we…

Strongly Correlated Electrons · Physics 2020-03-31 Clemens Kuhlenkamp , Michael Knap

We investigate $T\bar{T}$ deformation on non-Hermitian coupled Sachdev-Ye-Kitaev (SYK) model and the holographic picture. The relationship between ground state and thermofield double state is preserved under the $T\bar{T}$ deformation. We…

High Energy Physics - Theory · Physics 2024-11-21 Chenhao Zhang , Wenhe Cai

Traversable wormhole teleportation in the Sachdev-Ye-Kitaev (SYK) model links quantum channel integrity to black hole interior dynamics, using teleportation fidelity to probe holographic scrambling. We subject the SYK boundary to a…

Quantum Physics · Physics 2026-03-20 Sudhanva Joshi , Sunil Kumar Mishra

We propose a simple solvable variant of the Sachdev-Ye-Kitaev (SYK) model which displays a quantum phase transition from a fast-scrambling non-Fermi liquid to disordered Fermi liquid. Like the canonical SYK model, our variant involves a…

Strongly Correlated Electrons · Physics 2019-07-24 Oguzhan Can , Marcel Franz

The question of thermalization of a closed quantum system is of central interest in non-equilibrium quantum many-body physics. Here we present one such study analyzing the dynamics of a closed coupled Majorana SYK system. We have a…

Strongly Correlated Electrons · Physics 2025-05-26 Santiago Salazar Jaramillo , Rishabh Jha , Stefan Kehrein

We investigate the charging dynamics of Sachdev-Ye-Kitaev (SYK) models as quantum batteries, highlighting their capacity to achieve quantum charging advantages. By analytically deriving the scaling of the charging power in SYK batteries, we…

Quantum Physics · Physics 2024-12-09 Francisco Divi , Jeff Murugan , Dario Rosa

Recent proposals equate the size of Einstein-Rosen bridges in JT gravity to spread complexity of a dual, double-scaled SYK theory (DSSYK). We show that the auxiliary ``chord basis'' of these proposals is an extrapolation from a…

High Energy Physics - Theory · Physics 2024-12-04 Vijay Balasubramanian , Javier M. Magan , Poulami Nandi , Qingyue Wu

We study four coupled SYK models and nearly AdS$_2$ gravities. In the SYK model side, we construct a model that couples two copies of two coupled SYK models. In nearly AdS$_2$ gravity side, we entangle matter fields in two copies of…

High Energy Physics - Theory · Physics 2021-08-31 Tokiro Numasawa

We introduce a spinful variant of the Sachdev-Ye-Kitaev model with an effective time reversal symmetry, which can be solved exactly in the limit of a large number $N$ of degrees of freedom. At low temperature, its phase diagram includes a…

Strongly Correlated Electrons · Physics 2021-07-28 Étienne Lantagne-Hurtubise , Vedangi Pathak , Sharmistha Sahoo , Marcel Franz

The realization of quantum field theories on an optical lattice is an important subject toward the quantum simulation. We argue that such efforts would lead to the experimental realizations of quantum black holes. The basic idea is to…

Quantum Gases · Physics 2017-09-25 Ippei Danshita , Masanori Hanada , Masaki Tezuka

We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model and other $p$-local quantum mechanical random Hamiltonians. These models exhibit an expansion using chord diagrams, which can be solved by combinatorial methods.…

High Energy Physics - Theory · Physics 2024-11-28 Micha Berkooz , Ohad Mamroud

We consider the graphs involved in the theoretical physics model known as the colored Sachdev-Ye-Kitaev (SYK) model. We study in detail their combinatorial properties at any order in the so-called $1/N$ expansion, and we enumerate these…

Combinatorics · Mathematics 2020-01-22 Éric Fusy , Luca Lionni , Adrian Tanasa

In this work, we study a type of commuting SYK model in which all terms in the Hamiltonian are commutative to each other. Because of the commutativity, this model has a large number of conserved charges and is integrable. After the ensemble…

High Energy Physics - Theory · Physics 2024-01-08 Ping Gao

We show that the proper inclusion of soft reparameterization modes in the Sachdev-Ye-Kitaev model of $N$ randomly interacting Majorana fermions reduces its long-time behavior to that of Liouville quantum mechanics. As a result, all zero…

Strongly Correlated Electrons · Physics 2016-08-15 Dmitry Bagrets , Alexander Altland , Alex Kamenev

We examine the dynamics of a single hole in the gapless phase of the Kitaev honeycomb model, focusing on the slow-hole regime where the bare hopping amplitude $t$ is much less than the Kitaev exchange energy $J$. In this regime, the hole…

Strongly Correlated Electrons · Physics 2016-12-22 Gábor B. Halász , J. T. Chalker

We study the behavior of a single electron transistor (SET) represented by a dissipative tunnel junction between a pair of quantum dots described by two (possibly, different) Sachdev-Ye-Kitaev (SYK) models. A combined influence of the soft…

Strongly Correlated Electrons · Physics 2023-11-17 D. V. Khveshchenko

We discuss the connections between the complex SYK model at the conformal limit and warped conformal field theories. Both theories have an $SL(2,R) \times U(1)$ global symmetry. We present comparisons on symmetries, correlation functions,…

High Energy Physics - Theory · Physics 2019-01-30 Pankaj Chaturvedi , Yingfei Gu , Wei Song , Boyang Yu

We study spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model, a variant of the $k$-body embedded random ensembles studied for several decades in the context of nuclear physics and quantum chaos. We show analytically that…

High Energy Physics - Theory · Physics 2016-12-28 Antonio M. García-García , Jacobus J. M. Verbaarschot

We consider a version of the Sachdev-Ye-Kitaev model with complex fermions. We apply the shadow formalism to find four-point functions in the leading order in $1/N$ and dimensions of operators present in the theory. We also compute the…

High Energy Physics - Theory · Physics 2018-01-30 Ksenia Bulycheva