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Periodically driven non-Hermitian systems can exhibit rich topological band structure and non-Hermitian skin effect, without analogs in their static or Hermitian counterparts. In this work we investigate the exceptional band-touching points…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Xizheng Zhang , Jiangbin Gong

The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work,…

Quantum Physics · Physics 2026-01-07 Siyuan Cheng , Rui Xie , Xiaosen Yang , Yuee Xie , Yuanping Chen

In this work, we investigate the dynamic behavior and the topological properties of quasiperiodic elastic metasurfaces, namely arrays of mechanical oscillators arranged over the free surface of an elastic half-space according to a…

Applied Physics · Physics 2022-07-05 Xingbo Pu , Antonio Palermo , Alessandro Marzani

We present generic conditions for phase band crossings for a class of periodically driven integrable systems represented by free fermionic models subjected to arbitrary periodic drive protocols characterized by a frequency $\omega_D$. These…

Strongly Correlated Electrons · Physics 2016-12-30 Bhaskar Mukherjee , Arnab Sen , Diptiman Sen , K. Sengupta

An intense laser field in the high-frequency regime drives carriers in graphene nanoribbons (GNRs) out of equilibrium and creates topologically-protected edge states. Using Floquet theory on driven GNRs, we calculate the time evolution of…

Mesoscale and Nanoscale Physics · Physics 2017-06-26 Matteo Puviani , Franca Manghi , Andrea Bertoni

Motivated by the recent experimental realization of twisted double bilayer graphene (TDBG) samples we study, both analytically and numerically, the effects of circularly polarized light propagating in free space and confined into a…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Martin Rodriguez-Vega , Michael Vogl , Gregory A. Fiete

Floquet insulators are periodically driven quantum systems that can host novel topological phases as a function of the drive parameters. These new phases exhibit features reminiscent of fermion doubling in discrete-time lattice fermion…

Quantum Physics · Physics 2023-07-12 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

We show that one-dimensional Floquet trimer arrays with periodically oscillating waveguides support two different and co-existing types of topological Floquet edge states in two different topological gaps in Floquet spectrum. In these…

Optics · Physics 2023-09-15 Shuang Shen , Yaroslav V. Kartashov , Yongdong Li , Yiqi Zhang

Periodic driving and Floquet engineering have emerged as invaluable tools for controlling and uncovering novel phenomena in quantum systems. In this study, we adopt these methods to manipulate nonequilibrium processes within…

Quantum Physics · Physics 2023-09-12 Jakob Bätge , Yu Wang , Amikam Levy , Wenjie Dou , Michael Thoss

Periodically driven systems play a prominent role in optical lattices. In these ultracold atomic systems, driving is used to create a variety of interesting behaviours, of which an important example is provided by topological states of…

Quantum Gases · Physics 2017-11-27 A. Quelle , C. Weitenberg , K. Sengstock , C. Morais Smith

The Floquet Hamiltonian has often been used to describe a time-periodic system. Nevertheless, because the Floquet Hamiltonian depends on a micro-motion parameter, the Floquet Hamiltonian with a fixed micro-motion parameter cannot faithfully…

Quantum Physics · Physics 2022-03-04 Peng Xu , Wei Zheng , Hui Zhai

Employing the external degrees of freedom of atoms as synthetic dimensions renders easy and new accesses to quantum engineering and quantum simulation. As a recent development, ultracold atoms suffering from two-photon Bragg transitions can…

Quantum Gases · Physics 2020-09-22 Teng Xiao , Dizhou Xie , Wei Gou , and Tao Chen , Tian-Shu Deng , Wei Yi , Bo Yan

Time periodic forcing in the form of coherent radiation is a standard tool for the coherent manipulation of small quantum systems like single atoms. In the last years, periodic driving has more and more also been considered as a means for…

Quantum Gases · Physics 2017-04-04 André Eckardt

We investigate the interplay between disorder and superconducting pairing for a one-dimensional $p$-wave superconductor subject to slowly varying incommensurate potentials with mobility edges. With amplitude increments of the incommensurate…

Quantum Gases · Physics 2017-12-12 Tong Liu , Hai-Yang Yan , Hao Guo

Tremendous efforts have been devoted to the search for exotic topological states, which usually exist at an interface between lattices with differing topological invariants according to the bulk-edge correspondence. Here, we show a new…

Optics · Physics 2022-05-10 Wange Song , Hanmeng Li , Shenglun Gao , Shengjie Wu , Chen Chen , Shining Zhu , Tao Li

Motivated by the recent experimental realization of twisted transition metal dichalcogenide bilayers, we study a simplified model driven by different forms of monochromatic light. As a concrete and representative example we use parameters…

Mesoscale and Nanoscale Physics · Physics 2021-02-01 Michael Vogl , Martin Rodriguez-Vega , Benedetta Flebus , Allan H. MacDonald , Gregory A. Fiete

We show how second-order Floquet engineering can be employed to realize systems in which many-body localization coexists with topological properties in a driven system. This allows one to implement and dynamically control a…

Disordered Systems and Neural Networks · Physics 2020-05-20 Kevin S. C. Decker , Christoph Karrasch , Jens Eisert , Dante M. Kennes

We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively…

Quantum Physics · Physics 2021-01-20 Xiao-Xiao Li , Peng-Bo Li

We investigate the effects of dissipation and driving on topological order in superconducting nanowires. Rather than studying the non-equilibrium steady state, we propose a method to classify and detect dynamical signatures of topological…

Strongly Correlated Electrons · Physics 2019-03-07 Moos van Caspel , Sergio Enrique Tapias Arze , Isaac Pérez Castillo

The St\v{r}eda formula establishes a fundamental connection between the topological invariants characterizing the bulk of topological matter and the presence of gapless edge modes. In this work, we extend the St\v{r}eda formula to…

Mesoscale and Nanoscale Physics · Physics 2025-09-12 Lucila Peralta Gavensky , Gonzalo Usaj , Nathan Goldman
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