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We benchmark a selection of semiclassical and perturbative dynamics techniques by investigating the correlated evolution of a cavity-bound atomic system to assess their applicability to study problems involving strong light-matter…

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 this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with $U(1)$ charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping…

高能物理 - 理论 · 物理学 2020-11-30 Pengfei Zhang

We study the dynamical decoherence of a qubit weakly coupled to a two-body random interaction model (TBRIM) describing a quantum dot of interacting fermions or the Sachdev-Ye-Kitaev (SYK) black hole model. We determine the rates of qubit…

强关联电子 · 物理学 2018-10-23 Klaus M. Frahm , Dima L. Shepelyansky

This paper reviews the physics of quantum disorder in relation with a series of experiments using laser-cooled atoms exposed to "kicks" of a standing wave, realizing a paradigmatic model of quantum chaos, the kicked rotor. This dynamical…

量子物理 · 物理学 2017-02-01 Jean Claude Garreau

Sparse identification of nonlinear dynamics (SINDy) is a data-driven framework for estimating classical nonlinear dynamical systems from time-series data. In this approach, system dynamics is represented as a linear combination of a…

量子物理 · 物理学 2026-02-17 Yusei Tateyama , Yuzuru Kato

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…

高能物理 - 理论 · 物理学 2024-09-20 Jan C. Louw , Linda M. van Manen , Rishabh Jha

We study the fortuity phenomenon in supersymmetric Sachdev-Ye-Kitaev (SYK) models. For generic choices of couplings, all the BPS states in the $\mathcal{N}=2$ SUSY SYK model are fortuitous. The SYK models reveal an intimate connection…

高能物理 - 理论 · 物理学 2025-11-25 Chi-Ming Chang , Yiming Chen , Bik Soon Sia , Zhenbin Yang

We study supersymmetric indices in disordered systems, in particular an $\mathcal{N}=4$ supersymmetric Sachdev-Ye-Kitaev-type quantum mechanics. In cases where the disordered parameters do not affect the index, we explain how the exact…

高能物理 - 理论 · 物理学 2025-04-09 Indranil Halder , Daniel L. Jafferis , Debmalya Sarkar

Simulation of quantum chemistry is expected to be a principal application of quantum computing. In quantum simulation, a complicated Hamiltonian describing the dynamics of a quantum system is decomposed into its constituent terms, where the…

量子物理 · 物理学 2020-03-04 Yingkai Ouyang , David R. White , Earl T. Campbell

This review is a contribution to a book dedicated to the memory of Michael E. Fisher. The first example of a quantum many body system not expected to have any quasiparticle excitations was the Wilson-Fisher conformal field theory. The…

强关联电子 · 物理学 2024-11-22 Subir Sachdev

Originally proposed by 't Hooft, the brick wall model has recently reemerged as a useful framework for probing quantum aspects of horizon physics, particularly in the context of holography. In this paper, we apply it to asymptotically de…

高能物理 - 理论 · 物理学 2026-04-20 José M. Begines , Suman Das , Hyun-Sik Jeong , Juan F. Pedraza

We consider elastic reflection and transmission of electrons by a disordered system characterized by a $2N\!\times\!2N$ scattering matrix $S$. Expressing $S$ in terms of the $N$ radial parameters and of the four $N\!\times\!N$ unitary…

凝聚态物理 · 物理学 2009-10-22 Rodolfo A. Jalabert , Jean-Louis Pichard

We develop a systematic and unified random matrix theory to classify Sachdev-Ye-Kitaev (SYK) and supersymmetric (SUSY) SYK models and also work out the structure of the energy levels in one periodic table. The SYK with even $q$- and SUSY…

强关联电子 · 物理学 2020-07-01 Fadi Sun , Jinwu Ye

Sachdev-Ye-Kitaev (SYK) model, which describes $N$ randomly interacting Majorana fermions in 0+1 dimension, is found to be an solvable UV-complete toy model for holographic duality in nearly AdS$_2$ dilaton gravity. Ref. [1] proposed a…

高能物理 - 理论 · 物理学 2020-06-24 Xiao-Liang Qi , Pengfei Zhang

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…

高能物理 - 理论 · 物理学 2021-04-28 Yuri D. Lensky , Xiao-Liang Qi

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…

高能物理 - 理论 · 物理学 2019-04-03 Ram Brustein , Yoav Zigdon

Under unitary evolution, chaotic quantum systems initialized in simple states rapidly develop high complexity, precluding any efficient classical description. Quantum chaos is traditionally characterized by spectral properties of the…

量子物理 · 物理学 2026-01-21 Ning Sun , Pengfei Zhang

We study a class of many body chaotic models related to the Brownian Sachdev-Ye-Kitaev model. An emergent symmetry maps the quantum dynamics into a classical stochastic process. Thus we are able to study many dynamical properties at finite…

量子物理 · 物理学 2024-08-22 Shunyu Yao

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…

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