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The Sachdev-Ye-Kitaev (SYK) model describes Majorana fermions with random interaction, which displays many interesting properties such as non-Fermi liquid behavior, quantum chaos, emergent conformal symmetry and holographic duality. Here we…

高能物理 - 理论 · 物理学 2017-09-13 Yiming Chen , Hui Zhai , Pengfei Zhang

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…

强关联电子 · 物理学 2025-05-26 Santiago Salazar Jaramillo , Rishabh Jha , Stefan Kehrein

The nonlinear supermatrix $\sigma $-model is widely used to understand the physics of Anderson localization and the level statistics in noninteracting disordered electron systems. In contrast to the general belief that the supersymmetry…

强关联电子 · 物理学 2020-09-03 Tigran A. Sedrakyan , Konstantin B. Efetov

We study a series of powerful correspondences among new multi-gravity extensions of the Jackiw-Teitelboim model, multi-SYK models and multi-Schwarzian quantum mechanics, in the $\rm{(A)dS_{2}/CFT}$ arena. Deploying a $BF$-like formulation…

高能物理 - 理论 · 物理学 2021-06-07 Andrea Addazi , Jakub Bilski , Qingyu Gan , Antonino Marciano

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 show analytically that the spectral density of the $q$-body Sachdeev-Ye-Kitaev (SYK) model agrees with that of Q-Hermite polynomials with Q a non-trivial function of $q \ge 2$ and the number of Majorana fermions $N \gg 1$. Numerical…

高能物理 - 理论 · 物理学 2017-09-20 Antonio M. García-García , Jacobus J. M. Verbaarschot

We show that one can quantum simulate the dynamics of a Sachdev-Ye-Kitaev model with $N$ Majorana modes for time $t$ to precision $\epsilon$ with gate complexity $O(N^{7/2} t + N^{5/2} t \,{\rm polylog}(N/ \epsilon))$. In addition to…

量子物理 · 物理学 2019-04-10 Ryan Babbush , Dominic Berry , Hartmut Neven

Cavity quantum electrodynamics (cavity QED) enables the control of light-matter interactions at the single-photon level, rendering it a key component of many quantum technologies. Its practical realization, however, is complex since it…

量子物理 · 物理学 2024-09-25 David Castells-Graells , J. Ignacio Cirac , Dominik S. Wild

We show that the low temperature phase of a conjugate pair of uncoupled, quantum chaotic, nonhermitian systems such as the Sachdev-Ye-Kitaev (SYK) model or the Ginibre ensemble of random matrices are dominated by replica symmetry breaking…

高能物理 - 理论 · 物理学 2021-02-22 Antonio M. García-García , Yiyang Jia , Dario Rosa , Jacobus J. M. Verbaarschot

The fundamental problem in much of physics and quantum chemistry is to optimize a low-degree polynomial in certain anticommuting variables. Being a quantum mechanical problem, in many cases we do not know an efficient classical witness to…

量子物理 · 物理学 2023-08-21 Matthew B. Hastings , Ryan O'Donnell

Electronic transport in nano-structures, such as long molecules or 2D exfoliated flakes, often goes through a nearly degenerate set of single-particle orbitals. Here we show that in such cases a conspiracy of the narrow band and strong e-e…

强关联电子 · 物理学 2020-03-06 Alexander Altland , Dmitry Bagrets , Alex Kamenev

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…

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…

量子物理 · 物理学 2026-04-24 Alexander Zlokapa

The increasing level of experimental control over atomic and optical systems gained in the past years have paved the way for the exploration of new physical regimes in quantum optics and atomic physics, characterised by the appearance of…

量子物理 · 物理学 2008-12-17 Michael J. Hartmann , Fernando G. S. L. Brandao , Martin B. Plenio

System of Majorana zero modes with random infinite range interactions -- the Sachdev-Ye-Kitaev (SYK) model -- is thought to exhibit an intriguing relation to the horizons of extremal black holes in two-dimensional anti-de Sitter (AdS$_2$)…

无序系统与神经网络 · 物理学 2017-07-18 D. I. Pikulin , M. Franz

We study the spread of R\'enyi entropy between two halves of a Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermofield double (TFD) state. The SYK chain model is a model of chaotic many-body systems, which describes a…

高能物理 - 理论 · 物理学 2017-09-29 Yingfei Gu , Andrew Lucas , Xiao-Liang Qi

In a recent publication [K. Hammerer et al., Phys. Rev. Lett. 103, 063005 (2009)] we have shown the possibility to achieve strong coupling of the quantized motion of a micron-sized mechanical system to the motion of a single trapped atom.…

量子物理 · 物理学 2010-04-28 M. Wallquist , K. Hammerer , P. Zoller , C. Genes , M. Ludwig , F. Marquardt , P. Treutlein , J. Ye , H. J. Kimble

We review the recent developments and the current status in the field of quantum-gas cavity QED. Since the first experimental demonstration of atomic self-ordering in a system composed of a Bose-Einstein condensate coupled to a quantized…

量子气体 · 物理学 2021-10-27 Farokh Mivehvar , Francesco Piazza , Tobias Donner , Helmut Ritsch

We study the chaos exponent of some variants of the Sachdev-Ye-Kitaev (SYK) model, namely, the $\Ns=1$ supersymmetry (SUSY)-SYK model and its sibling, the $(N|M)$-SYK model which is not supersymmetric in general, for arbitrary interaction…

强关联电子 · 物理学 2023-06-22 Chen Ma , Chushun Tian

Many-body chaos has emerged as a powerful framework for understanding thermalization in strongly interacting quantum systems. While recent analytic advances have sharpened our intuition for many-body chaos in certain large $N$ theories, it…