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We study the many-body localization aspects of single-particle mobility edges in fermionic systems. We investigate incommensurate lattices and random disorder Anderson models. Many-body localization and quantum nonergodic properties are…

Statistical Mechanics · Physics 2016-06-07 Xiaopeng Li , J. H. Pixley , Dong-Ling Deng , Sriram Ganeshan , S. Das Sarma

We study information scrambling -- a spread of initially localized quantum information into the system's many degree of freedom -- in discrete-time quantum walks. We consider out-of-time-ordered correlators (OTOC) and K-complexity as a…

Quantum Physics · Physics 2024-11-07 Himanshu Sahu

We propose a physical witness for dynamically detecting topological phase transitions (TPTs) via an experimentally observable out-of-time-order correlation (OTOC). The distinguishable OTOC dynamics appears in the topological trivial and…

Quantum Physics · Physics 2023-02-14 Qian Bin , Liang-Liang Wan , Franco Nori , Ying Wu , Xin-You Lü

In quantum many-body systems, interactions play a crucial role in the emergence of information scrambling. When particles interact throughout the system, the entanglement between them can lead to a rapid and chaotic spreading of quantum…

Quantum Physics · Physics 2024-12-04 Qucheng Gao , Tianci Zhou , Pengfei Zhang , Xiao Chen

Much recent work has been devoted to the study of information scrambling in quantum systems. In this paper, we study the long-time properties of the algebraic out-of-time-order-correlator ("$\mathcal{A}$-OTOC") and derive an analytical…

Quantum Physics · Physics 2024-05-29 Faidon Andreadakis , Emanuel Dallas , Paolo Zanardi

Out-of-time-order correlators (OTOCs) have been proposed as a probe of chaos in quantum mechanics, on the basis of their short-time exponential growth found in some particular set-ups. However, it has been seen that this behavior is not…

Fast scrambling, quantified by the exponential initial growth of Out-of-Time-Ordered-Correlators (OTOCs), is the ability to efficiently spread quantum correlations among the degrees of freedom of interacting systems, and constitutes a…

Quantum Physics · Physics 2023-05-04 Felix Meier , Mathias Steinhuber , Juan Diego Urbina , Daniel Waltner , Thomas Guhr

Recent experimental and theoretical developments in many-body quantum systems motivate the study of their out-of-equilibrium properties through multi-time correlation functions. We consider the dynamics of higher-order out-of-time-order…

Quantum Physics · Physics 2025-06-24 Felix Fritzsch , Pieter W. Claeys

Dynamical correlation functions are essential for characterizing the response of the quantum many-body systems to the external perturbation. As their calculation is classically intractible in general, quantum algorithms are promising in…

Quantum Physics · Physics 2026-03-17 Taehee Ko , Mancheon Han , Hyowon Park , Sangkook Choi

Random permutation circuits were recently introduced as minimal models for local many-body dynamics that can be interpreted both as classical and quantum. Standard dynamical complexity indicators such as damage spreading and…

Statistical Mechanics · Physics 2026-03-17 Bruno Bertini , Katja Klobas , Pavel Kos , Daniel Malz

The dynamical generation of quantum resources, such as many-body entanglement or Bell correlations, can be achieved via one-axis twisting (OAT) dynamics, which require all-to-all couplings. However, current digital and analog quantum…

Quantum Physics · Physics 2026-03-19 Marcin Płodzień , Jan Chwedeńczuk

Out-of-time-ordered correlators (OTOC) have been extensively used as a major tool for exploring quantum chaos and also recently, there has been a classical analogue. Studies have been limited to closed systems. In this work, we probe an…

Statistical Mechanics · Physics 2020-11-11 Amit Kumar Chatterjee , Anupam Kundu , Manas Kulkarni

Quantum scrambling measured by out-of-time-ordered correlator (OTOC) has an important role in understanding the physics of black holes and evaluating quantum chaos. It is known that Rydberg atom has been a general interest due to its…

Quantum Physics · Physics 2018-07-09 Daattavya Aggarwal , Shivam Raj , Bikash K. Behera , Prasanta K. Panigrahi

The relaxation of out-of-time-ordered correlators (OTOCs) has been studied as a mean to characterize the scrambling properties of a quantum system. We show that the presence of local conserved quantities typically results in, at the…

Statistical Mechanics · Physics 2021-09-22 Vinitha Balachandran , Giuliano Benenti , Giulio Casati , Dario Poletti

Quantum simulators have made a remarkable progress towards exploring the dynamics of many-body systems, many of which offer a formidable challenge to both theoretical and numerical methods. While state-of-the-art quantum simulators are in…

Here we study the dynamics of many-body quantum systems using time dependent quantum Monte Carlo method where the evolution is described by ensembles of particles and guide waves. The exponential-time scaling inherent to the quantum…

Atomic Physics · Physics 2025-01-28 Ivan P. Christov

We explore, both analytically and numerically, the quantum dynamics of a many-body free-fermion system subjected to local density measurements. We begin by extending the mapping to the nonlinear sigma-model (NLSM) field theory for the case…

Disordered Systems and Neural Networks · Physics 2026-04-22 Igor Poboiko , Alexander D. Mirlin

The study of information scrambling in many-body systems has sharpened our understanding of quantum chaos, complexity and gravity. Here, we extend the framework for exploring information scrambling to infinite dimensional continuous…

Quantum Physics · Physics 2019-06-26 Quntao Zhuang , Thomas Schuster , Beni Yoshida , Norman Y. Yao

Understanding various phenomena in non-equilibrium dynamics of closed quantum many-body systems, such as quantum thermalization, information scrambling, and nonergodic dynamics, is a crucial for modern physics. Using a ladder-type…

Time evolution of quantum many-body systems typically leads to a state with maximal entanglement allowed by symmetries. Two distinct routes to impede entanglement growth are inducing localization via spatial disorder, or subjecting the…

Quantum Physics · Physics 2021-11-23 Tsung-Cheng Lu , Tarun Grover
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