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A topological insulator is regarded as an ideal candidate for information storage and high-speed lossless electrical transmission devices due to robust topological protected boundary modes. Previous studies revealed that symmetry exerts an…

介观与纳米尺度物理 · 物理学 2026-01-06 Ming-Jian Gao , Jun-Hong An

Periodically driven quantum systems can be used to realize quantum pumps, ratchets, artificial gauge fields and novel topological states of matter. Starting from the Keldysh approach, we develop a formalism, the Floquet-Boltzmann equation,…

量子气体 · 物理学 2015-12-16 Maximilian Genske , Achim Rosch

We develop a low-frequency perturbation theory in the extended Floquet Hilbert space of a periodically driven quantum systems, which puts the high- and low-frequency approximations to the Floquet theory on the same footing. It captures…

介观与纳米尺度物理 · 物理学 2018-10-01 M. Rodriguez-Vega , M. Lentz , B. Seradjeh

With significant advances in classifying and cataloguing topological matter, the focus of topological physics has shifted towards quantum control, particularly the creation and manipulation of topological phases of matter. Floquet…

计算物理 · 物理学 2024-09-10 Fangyang Zhan , Rui Chen , Zhen Ning , Da-Shuai Ma , Ziming Wang , Dong-Hui Xu , Rui Wang

Controlling the decoherence induced by the interaction of quantum system with its environment is a fundamental challenge in quantum technology. Utilizing Floquet theory, we explore the constructive role of temporal periodic driving in…

量子物理 · 物理学 2015-05-28 Chong Chen , Jun-Hong An , Hong-Gang Luo , C. P. Sun , C. H. Oh

The design of time-independent effective Hamiltonians that describe periodically modulated systems, provides a promising approach to realize new forms of matter. This, so-called, Floquet engineering approach is currently limited to the…

介观与纳米尺度物理 · 物理学 2018-09-18 Huanan Li , Boris Shapiro , Tsampikos Kottos

We consider a quantum system periodically driven with a strength which varies slowly on the scale of the driving period. The analysis is based on a general formulation of the Floquet theory relying on the extended Hilbert space. It is shown…

量子气体 · 物理学 2017-02-22 Viktor Novičenko , Egidijus Anisimovas , Gediminas Juzeliūnas

Optimal entrainment of limit-cycle oscillators by strong periodic inputs is studied on the basis of the phase-amplitude reduction and Floquet theory. Two methods for deriving the input waveforms that keep the system state close to the…

适应与自组织系统 · 物理学 2021-09-27 Shohei Takata , Yuzuru Kato , Hiroya Nakao

Systems subject to high-frequency driving exhibit Floquet prethermalization, that is, they heat exponentially slowly on a time scale that is large in the drive frequency, $\tau_{\rm h} \sim \exp(\omega)$. Nonetheless, local observables can…

统计力学 · 物理学 2024-03-25 Nicholas O'Dea , Fiona Burnell , Anushya Chandran , Vedika Khemani

Results are presented for the optical Hall conductivity of a Floquet topological insulator (FTI) for an ideal closed quantum system, as well as an open system in a nonequilibrium steady-state with a reservoir. The steady-state, even for the…

介观与纳米尺度物理 · 物理学 2015-10-28 Hossein Dehghani , Aditi Mitra

We consider the ratchet dynamics in a $\mathcal{PT}$-symmetric Floquet quantum system with symmetric temporal (harmonic) driving. In the exact $\mathcal{PT}$ phase, for a finite number of resonant frequencies, we show that the long-lasting…

量子物理 · 物理学 2023-06-27 Zhiqiang Li , Xiaoxiao Hu , Jinpeng Xiao , Yajiang Chen , Xiaobing Luo

Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

量子物理 · 物理学 2024-11-20 Álvaro Gómez-León

We consider the dynamics of a two-level system (qubit) driven by strong and short resonant pulses in the framework of Floquet theory. First we derive analytical expressions for the quasienergies and Floquet states of the driven system. If…

量子物理 · 物理学 2016-12-13 Chunqing Deng , Feiruo Shen , Sahel Ashhab , Adrian Lupascu

Periodically-driven systems engender a rich competition between the time scales of the drives and those of the system, leading to a limited ability to describe the system in full. We present a framework for the description of interacting…

量子物理 · 物理学 2025-02-25 Kilian Seibold , Orjan Ameye , Oded Zilberberg

Experiments on periodically driven quantum systems have effectively realized quasi-Hamiltonians, in the sense of Floquet theory, that are otherwise inaccessible in static condensed matter systems. Although the Floquet quasi-Hamiltonians are…

量子气体 · 物理学 2021-08-17 Etienne Wamba , Axel Pelster , James R. Anglin

Quantum technology resorts to efficient utilization of quantum resources to realize technique innovation. The systems are controlled such that their states follow the desired manners to realize different quantum protocols. However, the…

量子物理 · 物理学 2021-01-13 Si-Yuan Bai , Chong Chen , Hong Wu , Jun-Hong An

Recent progresses on Floquet topological phases have shed new light on time-dependant quantum systems, among which one-dimensional (1D) Floquet systems have been under extensive theoretical research. However, an unambiguous experimental…

The advent of ultrafast laser science offers the unique opportunity to combine Floquet engineering with extreme time resolution, further pushing the optical control of matter into the petahertz domain. However, what is the shortest driving…

We show how to create maximally entangled dressed states of a weakly interacting multi-partite quantum system by suitably tuning an external, periodic driving field. Floquet theory allows us to relate, in a transparent manner, the…

量子物理 · 物理学 2012-08-02 Simeon Sauer , Florian Mintert , Clemens Gneiting , Andreas Buchleitner

Periodically driven systems provide a novel route to control the topology of quantum materials. In particular, Floquet theory allows an effective band description of periodically-driven systems through the Floquet Hamiltonian. Here, we…

强关联电子 · 物理学 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura