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In this work, we develop a self-consistent Hartree-Fock approach to theoretically study the far-from-equilibrium quantum dynamics of interacting fermions, and apply this approach to explore the onset of many-body localization (MBL) in these…

Disordered Systems and Neural Networks · Physics 2018-12-31 Simon A. Weidinger , Sarang Gopalakrishnan , Michael Knap

We study the phenomenon of many-body localization (MBL) in an interacting system subjected to a combined DC as well as a square wave AC electric field. First, the condition for the dynamical localization, coherent destruction of…

Disordered Systems and Neural Networks · Physics 2020-09-02 Devendra Singh Bhakuni , Ritu Nehra , Auditya Sharma

In this paper we propose a model predictive control scheme for constrained fractional-order discrete-time systems. We prove that all constraints are satisfied at all time instants and we prescribe conditions for the origin to be an…

Optimization and Control · Mathematics 2016-06-16 Pantelis Sopasakis , Haralambos Sarimveis

Nonequilibrium dynamics in isolated quantum many-body systems displays a number of intriguing features, such as many-body localization (MBL) and prethermalization. Here we investigate a simple ladder system with disorder, in which various…

Quantum Physics · Physics 2020-09-23 Yang Zhao , Rajesh Narayanan , Jaeyoon Cho

Floquet driven systems represent an extremely interesting arena to study out-of-equilibrium phenomena. For instance, they provide realizations of discrete time crystals, where the discrete time translation symmetry of the periodic…

Quantum Physics · Physics 2022-04-25 J. R. M. de Nova , F. Sols

Clustering temporal and dynamically changing multivariate time series from real-world fields, called temporal clustering for short, has been a major challenge due to inherent complexities. Although several deep temporal clustering…

Machine Learning · Computer Science 2026-01-13 Zhi Wang , Yanni Li , Pingping Zheng , Yiyuan Jiao

Recent experiments with dense laser-driven atomic gases [G. Ferioli et al., arXiv:2207.10361 (2022)] have realized a many-body system which in the thermodynamic limit yields a so-called boundary time-crystal. This state of matter is…

Quantum Physics · Physics 2023-10-19 Albert Cabot , Leah Sophie Muhle , Federico Carollo , Igor Lesanovsky

A time crystal is an exotic phase of matter where time-translational symmetry is broken; this phase differs from the spatial symmetry breaking induced in crystals in space. Lots of experiments report the transition from a thermal…

Periodically driven, or Floquet, disordered quantum systems have generated many unexpected discoveries of late, such as the anomalous Floquet Anderson insulator and the discrete time crystal. Here, we report the emergence of an entire band…

Disordered Systems and Neural Networks · Physics 2018-05-22 Sthitadhi Roy , Ivan M. Khaymovich , Arnab Das , Roderich Moessner

It is still common to use Q-learning and temporal difference (TD) learning-even though they have divergence issues and sound Gradient TD alternatives exist-because divergence seems rare and they typically perform well. However, recent work…

Machine Learning · Computer Science 2020-09-21 Sina Ghiassian , Andrew Patterson , Shivam Garg , Dhawal Gupta , Adam White , Martha White

This paper presents an optimal dynamic control framework for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations affected by both state and process noise. Rather than directly stabilizing the uncertain system,…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Mohammad Khajenejad

Periodically driven quantum many-body systems can spontaneously break discrete time-translation symmetry, realizing discrete time crystals. To date, both experimental and theoretical efforts have largely focused on the simplest case of…

Modulation recognition is an important task in radio signal processing. Most of the current researches focus on supervised learning. However, in many real scenarios, it is difficult and cost to obtain the labels of signals. In this letter,…

Signal Processing · Electrical Eng. & Systems 2021-07-27 Qi Xuan , Xiaohui Li , Zhuangzhi Chen , Dongwei Xu , Shilian Zheng , Xiaoniu Yang

This paper proposes a high-speed transceiver-based method for implementing a digital-to-time converter (DTC). A real-time decoding technique is introduced to inject time information into high-speed pattern data. The stability of the…

Signal Processing · Electrical Eng. & Systems 2024-12-11 Dexuan Kong , Zaiming Fu , Yujie Deng , Ruiqi Wang

We elucidate the role that the dissipation in a bosonic channel plays in the prevalence and stability of time crystals (TCs) in a periodically driven spin-boson system described by the Dicke model. Here, the bosons are represented by…

Quantum Physics · Physics 2023-07-11 Jayson G. Cosme , Jim Skulte , Ludwig Mathey

In this paper, we propose a new approach to prove stability of non-linear discrete-time systems. After introducing the new concept of stability contractor, we show that the interval centred form plays a fundamental role in this context and…

Systems and Control · Electrical Eng. & Systems 2021-01-15 Auguste Bourgois , Luc Jaulin

This paper studies the problem of online stabilization of an unknown discrete-time linear time-varying (LTV) system under bounded non-stochastic (potentially adversarial) disturbances. We propose a novel control algorithm based on convex…

Optimization and Control · Mathematics 2023-12-15 Jing Yu , Varun Gupta , Adam Wierman

In this work, we reported a ubiquitous presence of topological Floquet time crystal (TFTC) in one-dimensional periodically-driven systems. The rigidity and realization of spontaneous discrete time-translation symmetry (DTS) breaking in our…

Optics · Physics 2020-11-25 Yiming Pan , Bing Wang

Continuous time crystals (CTCs) - media with broken continuous time translation symmetry - are an eagerly sought state of matter that spontaneously transition from a time-independent state to one of periodic motion in response to a small…

Localization transitions represent a fundamental class of continuous phase transitions, yet they occur without any accompanying symmetry breaking. We resolve this by introducing the concept of dynamical translational symmetry (DTS), which…

Disordered Systems and Neural Networks · Physics 2025-11-21 Yucheng Wang