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Discrete time (coined) quantum walks are produced by the repeated application of a constant unitary transformation to a quantum system. By recasting these walks into the setting of periodic perturbations to an otherwise freely evolving…

Quantum Physics · Physics 2007-05-23 O. Buerschaper , K. Burnett

Visual illusions provide a window into the mechanisms underlying visual processing, and dynamical neural circuit models offer a natural framework for proposing and testing theories of their emergence. We propose and analyze a delay-coupled…

Neurons and Cognition · Quantitative Biology 2026-01-28 Noah Parks , Zachary P Kilpatrick

In this paper we consider the use of certain classical analogues to quantum tunneling behavior to improve the performance of simulated annealing on a discrete spin system of the general Ising form. Specifically, we consider the use of…

Quantum Physics · Physics 2021-04-30 Brian R. La Cour , James E. Troupe , Hans M. Mark

Spin squeezing, a form of many-body entanglement, is a crucial resource in quantum metrology and information processing. While experimentally viable protocols for generating stable spin squeezing have been proposed in quantum optics setups,…

Quantum Physics · Physics 2025-09-16 Jayakrishnan M. P. Nair , Benedetta Flebus

Many complex systems can spontaneously oscillate under non-periodic forcing. Such self-oscillators are commonplace in biological and technological assemblies where temporal periodicity is needed, such as the beating of a human heart or the…

In a fast scrambling many-body quantum system, information is spread and entanglement is built up on a timescale that grows logarithmically with the system size. This is of fundamental interest in understanding the dynamics of many-body…

Quantum Physics · Physics 2023-09-07 Sridevi Kuriyattil , Tomohiro Hashizume , Gregory Bentsen , Andrew J. Daley

We investigate the asymptotic state of a periodically driven many-body quantum system which is weakly coupled to an environment. The combined action of the modulations and the environment steers the system towards a state being…

Quantum Gases · Physics 2019-03-04 Michael Hartmann , Dario Poletti , Mikhail Ivanchenko , Sergey Denisov , Peter Hänggi

Parametrically driven oscillators can emerge as a basis for the next generation of qubits. Classically, these systems exhibit two stable oscillatory states with opposite phases. Upon quantization, these states turn into a pair of closely…

Quantum Physics · Physics 2026-03-20 Foster Thompson , Daniel K. J. Boneß , Mark Dykman , Alex Kamenev

Digital-analog quantum computation aims to reduce the currently infeasible resource requirements needed for near-term quantum information processing by replacing sequences of one- and two-qubit gates with a unitary transformation generated…

We investigate the dynamics of quantum scrambling, characterized by the out-of-time ordered correlators (OTOCs), in a non-Hermitian quantum kicked rotor subjected to quasi-periodical modulation in kicking potential. Quasi-periodic…

Quantum Physics · Physics 2024-01-23 Liang Huo , Han Ke , Wen-Lei Zhao

Scrambling is the delocalization of quantum information over a many-body system and underlies all quantum-chaotic dynamics. We employ discrete quantum cellular automata as classically simulable toy models of scrambling. We observe that…

Quantum Physics · Physics 2023-05-01 Brian Kent , Sarah Racz , Sanjit Shashi

Quantum computers are a leading platform for the simulation of many-body physics. This task has been recently facilitated by the possibility to program directly the time-dependent pulses sent to the computer. Here, we use this feature to…

Quantum Physics · Physics 2021-10-04 Mor M. Roses , Haggai Landa , Emanuele G. Dalla Torre

When an amorphous solid is deformed cyclically, it may reach a steady state in which the paths of constituent particles trace out closed loops that repeat in each driving cycle. A remarkable variant has been noticed in simulations where the…

Soft Condensed Matter · Physics 2021-08-26 Nathan C. Keim , Joseph D. Paulsen

Quantum information scrambling has attracted much attention amid the effort to reconcile the conflict between quantum-mechanical unitarity and the thermalizaiton-irreversibility in many-body systems. Here we propose an unconventional…

Quantum Physics · Physics 2019-09-19 Xiaopeng Li , Guanyu Zhu , Muxin Han , Xin Wang

Quantum simulation elucidates properties of quantum many-body systems by mapping its Hamiltonian to a better-controlled system. Being less stringent than a universal quantum computer, noisy small- and intermediate-scale quantum simulators…

Classical optomechanical systems feature self-sustained oscillations, where multiple periodic orbits at different amplitudes coexist. We study how this multistability is realized in the quantum regime, where new dynamical patterns appear…

Quantum Physics · Physics 2016-04-19 C. Schulz , A. Alvermann , L. Bakemeier , H. Fehske

We study an Ising model with long-range interactions undergoing a time-periodic kicking. For different initial states we observe persistent period doubling. When there is period doubling we find that the initial state has relevant overlap…

Statistical Mechanics · Physics 2026-04-23 Ángel L. Corps , Armando Relaño , Angelo Russomanno

In ergodic many-body quantum systems, locally encoded quantum information becomes, in the course of time evolution, inaccessible to local measurements. This concept of "scrambling" is currently of intense research interest, entailing a deep…

This tutorial article introduces the physics of quantum information scrambling in quantum many-body systems. The goals are to understand how to precisely quantify the spreading of quantum information and how causality emerges in complex…

Quantum Physics · Physics 2024-01-25 Shenglong Xu , Brian Swingle

Time reversal in a macroscopic system is contradicting daily experience. It is practically impossible to restore a shattered cup to its original state by just time reversing the microscopic dynamics that led to its breakage. Yet, with the…

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