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Related papers: Perturbed Sachdev-Ye-Kitaev model: a polaron in th…

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We propose a simple mechanism for apparent Planckian scattering based on local polaron formation, in which $\Gamma_\text{tr} = \Gamma_0 + \alpha k_BT / \hbar$ with $\alpha \sim O(1)$ emerges from quasielastic scattering without fine tuning.…

Strongly Correlated Electrons · Physics 2026-04-27 Brian Yong-Ho Lee , Chaitanya Murthy

Supersymmetry is a powerful concept in quantum many-body physics. It helps to illuminate ground state properties of complex quantum systems and gives relations between correlation functions. In this work, we show that the Sachdev-Ye-Kitaev…

Strongly Correlated Electrons · Physics 2020-06-15 Jan Behrends , Benjamin Béri

We study the quantum Lyapunov exponent $\lambda_L$ in theories with spacetime-independent disorder. We first derive self-consistency equations for the two- and four-point functions for products of $N$ models coupled by disorder at large…

High Energy Physics - Theory · Physics 2022-08-31 Micha Berkooz , Adar Sharon , Navot Silberstein , Erez Y. Urbach

We solve the Sherrington-Kirkpatrick (SK) model in a transverse field \Gamma deep in its quantum glass phase at zero temperature. We show that the glass phase is critical everywhere, exhibiting collective excitations with a gapless Ohmic…

Disordered Systems and Neural Networks · Physics 2013-05-30 Alexei Andreanov , Markus Mueller

We consider a recent proposal for a physical realization of the Sachdev-Ye-Kitaev (SYK) model in the zeroth-Landau-level sector of an irregularly-shaped graphene flake. We study in detail charge transport signatures of the unique non-Fermi…

Strongly Correlated Electrons · Physics 2019-01-21 Oguzhan Can , Emilian M. Nica , Marcel Franz

Considering the large-$q$ expansion of the Sachdev-Ye-Kitaev (SYK) model in the two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher Krylov cumulants in subleading order, along with the $t/q$ effects. The…

High Energy Physics - Theory · Physics 2023-08-21 Budhaditya Bhattacharjee , Pratik Nandy , Tanay Pathak

In this letter we construct a large-N exactly solvable model to study the interplay between interaction and topology, by connecting Sacheve-Ye-Kitaev (SYK) model with constant hopping. The hopping forms a band structure that can exhibit…

Strongly Correlated Electrons · Physics 2018-05-30 Pengfei Zhang , Hui Zhai

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

SYK model is a quantum mechanical model of fermions which is solvable at strong coupling and plays an important role as perhaps the simplest holographic model of quantum gravity and black holes. The present work considers a deformed SYK…

High Energy Physics - Theory · Physics 2020-01-08 Avinash Dhar , Adwait Gaikwad , Lata Kh Joshi , Gautam Mandal , Spenta R. Wadia

We study the robustness of a generalized Kitaev's toric code with Z_N degrees of freedom in the presence of local perturbations. For N=2, this model reduces to the conventional toric code in a uniform magnetic field. A quantitative analysis…

Statistical Mechanics · Physics 2012-03-07 M. D. Schulz , S. Dusuel , R. Orus , J. Vidal , K. P. Schmidt

We consider $\lambda\phi^{4}$ kink and sine-Gordon soliton in the presence of a minimal length uncertainty proportional to the Planck length. The modified Hamiltonian contains an extra term proportional to $p^4$ and the generalized…

High Energy Physics - Theory · Physics 2014-09-24 Maryam Asghari , Pouria Pedram

We have studied the anti-ferromagnetic Kitaev model on a honeycomb lattice under the Zeeman field, using an extensive Majorana mean-field analysis. When the magnetic field is along a specific Cartesian axis, we find that the emergent fields…

Strongly Correlated Electrons · Physics 2026-03-04 Sheikh Moonsun Pervez

We perform a perturbative analysis for the nonequilibrium Green functions of the spinless Falicov-Kimball model in the presence of an arbitrary external time-dependent but spatially uniform electric field. The conduction electron…

Strongly Correlated Electrons · Physics 2009-11-11 V. Turkowski , J. K. Freericks

In order to study the chaotic behavior of a system with non-local interactions, we will consider weakly coupled non-commutative field theories. We compute the Lyapunov exponent of this exponential growth in the large Moyal-scale limit to…

High Energy Physics - Theory · Physics 2022-09-28 Willy Fischler , Tyler Guglielmo , Phuc Nguyen

It is shown that perturbation theory in $2D$ nonlinear $\sigma$-models as well gauge theories in dimension $D\geq 2$ produces answers that depend on boundary conditions even after the infinite volume limit has been taken. This unphysical…

High Energy Physics - Lattice · Physics 2009-10-28 A. Patrascioiu , E. Seiler

We study non-equilibrium dynamics induced by a sudden quench of strongly correlated Hamiltonians with all-to-all interactions. By relying on a Sachdev-Ye-Kitaev (SYK) based quench protocol, we show that the time evolution of simple…

Quantum Physics · Physics 2021-06-14 Matteo Carrega , Joonho Kim , Dario Rosa

We study perturbative unitarity in the scalar sector of the Myers-Pospelov model. The model introduces a preferred four-vector $n$ which breaks Lorentz symmetry and couples to a five-dimension operator. When the preferred four-vector is…

High Energy Physics - Theory · Physics 2018-09-12 Leonardo Balart , Carlos M. Reyes , Sebastian Ossandon , Camilo Reyes

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…

High Energy Physics - Theory · Physics 2025-01-03 Sizheng Cao , Xian-Hui Ge , Yi-Cheng Rui

We investigate existence of replica off-diagonal solutions in the field-theoretical description of Sachdev-Ye-Kitaev model. To this end we evaluate a set of local and non-local dynamic correlation functions in the long time limit. We argue…

High Energy Physics - Theory · Physics 2020-01-24 Hanteng Wang , D. Bagrets , A. L. Chudnovskiy , A. Kamenev

We study chaotic-integrable transition and the nature of quantum chaos in SYK model with chemical potential. We use a novel numerical technique to calculate the partition function explicitly. We show the phase transition in the presence of…

High Energy Physics - Theory · Physics 2020-08-26 Nilakash Sorokhaibam
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