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We elucidate that the diffusive systems, which are widely found in nature, can be a new platform of the bulk-edge correspondence, a representative topological phenomenon. Using a discretized diffusion equation, we demonstrate the emergence…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Tsuneya Yoshida , Yasuhiro Hatsugai

We describe a finite inhomogeneous three dimensional system of classical particles which interact through short and (or) long range interactions by means of a simple analytic spin model. The thermodynamic properties of the system are worked…

Nuclear Theory · Physics 2009-10-31 J. Richert , P. Wagner , M. Henkel , J. M. Carmona

Coherent control via periodic modulation, also known as Floquet engineering, has emerged as a powerful experimental method for the realization of novel quantum systems with exotic properties. In particular, it has been employed to study…

The spin-1 quantum Ising systems with three-spin interactions on two-dimensional triangular lattices are studied by mean-field method. The thermal variations of order parameters and phase diagrams are investigated in detail. The stable,…

Statistical Mechanics · Physics 2020-01-01 Hui Jiang , Xiang-Mu Kong

We propose a mechanism to suppress heating in periodically driven many-body quantum systems by employing sufficiently long-range interactions and experimentally relevant initial conditions. The mechanism is robust to local perturbations and…

Disordered Systems and Neural Networks · Physics 2021-10-20 Devendra Singh Bhakuni , Lea F. Santos , Yevgeny Bar Lev

Periodically driven systems offer a perfect breeding ground for out-of-equilibrium engineering of topological boundary states at zero energy ($0$-mode), as well as finite energy ($\pi$-mode), with the latter having no static analog. The…

Mesoscale and Nanoscale Physics · Physics 2024-12-18 Arnob Kumar Ghosh , Rodrigo Arouca , Annica M. Black-Schaffer

Quantum systems driven by a time-periodic field are a platform of condensed matter physics where effective (quasi)stationary states, termed "Floquet states", can emerge with external-field-dressed quasiparticles during driving. They appear,…

Quantum Physics · Physics 2023-10-27 Naoto Tsuji

We show that the correlation functions of a class of periodically driven integrable closed quantum systems approach their steady state value as $n^{-(\alpha+1)/\beta}$, where $n$ is the number of drive cycles and $\alpha$ and $\beta$ denote…

Statistical Mechanics · Physics 2022-03-16 Sreemayee Aditya , Sutapa Samanta , Arnab Sen , K. Sengupta , Diptiman Sen

A two-dimensional periodically driven (Floquet) system with zero winding number in the absence of time-reversal symmetry is usually considered topologically trivial. Here, we study the dynamics of a Gaussian wave packet placed at the…

Quantum Gases · Physics 2025-05-06 Xin-Xin Yang , Kai-Ye Shi , F. Nur Ünal , Wei Zhang

We analyze the unitary time evolution of a conduction electron, described by a two-level system, interacting with two-level systems (spins) through a spin-spin interaction and prove that coherent spin states of the conduction electron are…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Marco Frasca

Discrete time crystals (DTCs) refer to a novel many-body steady state that spontaneously breaks the discrete time-translational symmetry in a periodically-driven quantum system. Here, we study DTCs in a Bose-Einstein condensate (BEC)…

Quantum Gases · Physics 2021-12-02 Jia Wang , Krzysztof Sacha , Peter Hannaford , Bryan J. Dalton

This note introduces a piecewise-deterministic queueing (PDQ) model to study the stability of traffic queues in parallel-link transportation systems facing stochastic capacity fluctuations. The saturation rate (capacity) of the PDQ model…

Optimization and Control · Mathematics 2018-02-19 Li Jin , Saurabh Amin

Recent works have demonstrated that the Floquet-Bloch bands of periodically-driven systems feature a richer topological structure than their non-driven counterparts. The additional structure in the driven case arises from the periodicity of…

Mesoscale and Nanoscale Physics · Physics 2019-01-24 Frederik Nathan , Mark S. Rudner

Recent advancements in the field of topological band theory have significantly contributed to our understanding of intriguing topological phenomena observed in various classical and quantum systems, encompassing both wave and dissipative…

Optics · Physics 2023-07-04 Moladad Nikbakht , Farzam Bahmani

Tight-binding model on a finite chain is studied with four-fold alternated hopping parameters $t_{1,2,3,4}$. Imposing the open boundary conditions, the corresponding recursion is solved analytically with special attention paid to the…

Mesoscale and Nanoscale Physics · Physics 2017-07-03 M. Eliashvili , D. Kereselidze , G. Tsitsishvili , M. Tsitsishvili

We study the bulk and edge properties of a driven Kitaev chain, where the driving is performed as instantaneous quenches of the on-site energies. We identify three periodic driving regimes: low period, which is equivalent to a static model,…

Superconductivity · Physics 2019-01-08 Tilen Cadez , Rubem Mondaini , Pedro D. Sacramento

We investigate the quantum dynamics of the electron spin resonance of topological defects (edge state) in dimerized chains. These objects are discontinuities of the spin chain protected by the properties of the global system leading to a…

Strongly Correlated Electrons · Physics 2025-12-09 L. Soriano , A. Manoj-Kumar , G. Gerbaud , A. Savoyant , R. Dassonneville , H. Vezin , O. Jeannin , M. Orio , M. Fourmigué , S. Bertaina

Under the action of coherent periodic driving a generic quantum system will undergo Floquet heating and continously absorb energy until it reaches a featureless thermal state. The phase-space constraints induced by certain symmetries can,…

Strongly Correlated Electrons · Physics 2021-02-03 Joseph Tindall , Frank Schlawin , Michael A. Sentef , Dieter Jaksch

Topological insulators host topology-linked boundary states, whose spin and charge degrees of freedom could be exploited to design topological devices with enhanced functionality. We experimentally observe that dissipationless chiral edge…

Quantum Physics · Physics 2022-07-26 Chao Chen , Xing Ding , Jian Qin , Jizhou Wu , Yu He , Chao-Yang Lu , Li Li , Xiong-Jun Liu , Barry C. Sanders , Jian-Wei Pan

Neutral atom arrays driven into Rydberg states constitute a promising approach for realizing programmable quantum systems. Enabled by strong interactions associated with Rydberg blockade, they allow for simulation of complex spin models and…

Quantum Physics · Physics 2024-08-07 Nazlı Uğur Köylüoğlu , Nishad Maskara , Johannes Feldmeier , Mikhail D. Lukin