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The periodic driving of a quantum system can enable new topological phases without analogs in static systems. This provides a route towards preparing non-equilibrium quantum phases rooted into the non-equilibrium nature by periodic driving…

Strongly Correlated Electrons · Physics 2020-07-22 Yufei Zhu , Tao Qin , Xinxin Yang , Gao Xianlong , Zhaoxin Liang

Periodically driven systems, also known as Floquet systems, can realize symmetry protected topological (SPT) phases that cannot be found in equilibrium. Here, we seek to understand the effects of strong disorder on such SPT phases, working…

Disordered Systems and Neural Networks · Physics 2015-12-15 Yuval Gannot

Periodically driven (Floquet) systems have been under active theoretical and experimental investigations. This paper aims at a systematic study in the following aspects of Floquet systems: (i) A systematic formulation of topological…

Strongly Correlated Electrons · Physics 2017-11-15 Shunyu Yao , Zhongbo Yan , Zhong Wang

Manipulating the global $PT$ symmetry of a non-Hermitian composite system is a rather significative and challenging task. Here, we investigate Floquet control of global $PT$ symmetry in 2D arrays of quadrimer waveguides with transverse…

Optics · Physics 2020-11-18 Bo Zhu , Honghua Zhong , Jun Jia , Fuqiu Ye , Libin Fu

Topological theories have established a new set of rules that govern the transport properties in a wide variety of wave-mechanical settings. In a marked departure from the established approaches that induce Floquet topological phases by…

We explore the quantum dynamics of particles in a spatiotemporally driven lattice. A powerful numerical scheme is developed, which provides us with the Floquet modes and thus enables a stroboscopic propagation of arbitrary initial states. A…

Quantum Physics · Physics 2014-11-13 Thomas Wulf , Christoph Petri , Benno Liebchen , Peter Schmelcher

Over the past few years, topological insulators have taken center stage in solid state physics. The desire to tune the topological invariants of the bulk and thus control the number of edge states has steered theorists and experimentalists…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 J. K. Asboth , B. Tarasinski , P. Delplace

Time-periodic (Floquet) drive is a powerful method to engineer quantum phases of matter, including fundamentally non-equilibrium states that are impossible in static Hamiltonian systems. One characteristic example is the anomalous Floquet…

Quantum Gases · Physics 2022-01-12 Christopher I. Timms , Lukas M. Sieberer , Michael H. Kolodrubetz

Floquet engineering is the concept of tailoring a system by a periodic drive. It has been very successful in opening new classes of Hamiltonians to the study with ultracold atoms in optical lattices, such as artificial gauge fields,…

Quantum Gases · Physics 2021-08-13 Christof Weitenberg , Juliette Simonet

Properties of time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Recently, Huang et al. [Phys. Rev. Applied 15, 034065 (2021)] have shown that time-dependent…

Discrete quantum walks are periodically driven systems with discrete time evolution. In contrast to ordinary Floquet systems, no microscopic Hamiltonian exists, and the one-period time evolution is given directly by a series of unitary…

Mesoscale and Nanoscale Physics · Physics 2025-01-10 Ken Mochizuki , Takumi Bessho , Masatoshi Sato , Hideaki Obuse

In this paper, we study the existence of Floquet topological insulators for PT symmetric non-Hermitian Hamiltonians. We consider an array of waveguide in 1D with periodically changing non-Hermitian potential and predict the existence of…

Mesoscale and Nanoscale Physics · Physics 2015-08-04 C. Yuce

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

Nonequilibrium topological matter has been a fruitful topic of both theoretical and experimental interest. A great variety of exotic topological phases unavailable in static systems may emerge under nonequilibrium situations, often…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Nannan Ma , Jiangbin Gong

Spurred by recent development of fracton topological phases, unusual topological phases possessing fractionalized quasi-particles with mobility constraints, the concept of symmetries has been renewed. In particular, in accordance with the…

Strongly Correlated Electrons · Physics 2024-05-24 Hiromi Ebisu , Masazumi Honda , Taiichi Nakanishi

We report the observation of a symmetry-protected topological time crystal, which is implemented with an array of programmable superconducting qubits. Unlike the time crystals reported in previous experiments, where spontaneous breaking of…

We propose a simple approach to realize two-dimensional Floquet topological superfluid by periodically tuning the depth of square optical lattice potentials. We show that the periodic driving can induce topological phase transitions between…

Quantum Gases · Physics 2014-10-21 Xiaosen Yang

We provide an experimental framework where periodically driven PT-symmetric systems can be investigated. The set-up, consisting of two UHF oscillators coupled by a time-dependent capacitance, demonstrates a cascade of PT-symmetric broken…

Classical Physics · Physics 2017-09-06 Mahboobeh Chitsazi , Huanan Li , F. M. Ellis , Tsampikos Kottos

We uncover an infinite family of time-reversal symmetric 3d interacting topological insulators of bosons or spins, in time-periodically driven systems, which we term Floquet topological paramagnets (FTPMs). These FTPM phases exhibit…

Strongly Correlated Electrons · Physics 2018-06-07 Andrew C. Potter , Ashvin Vishwanath , Lukasz Fidkowski

In a periodically driven (Floquet) system, there is the possibility for new phases of matter, not present in stationary systems, protected by discrete time-translation symmetry. This includes topological phases protected in part by…

Statistical Mechanics · Physics 2017-04-10 Dominic V. Else , Bela Bauer , Chetan Nayak