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Higher-order topological phases have raised widespread interest in recent years with the occurrence of the topological boundary states of dimension two or more less than that of the system bulk. The higher-order topological states have been…

Mesoscale and Nanoscale Physics · Physics 2023-03-21 Zhenhang Pu , Hailong He , Licheng Luo , Qiyun Ma , Liping Ye , Manzhu Ke , Zhengyou Liu

The classification of topological Floquet systems with time-periodic Hamiltonians transcends that of static systems. For example, spinless fermions in periodically driven two-dimensional lattices are not completely characterized by the…

Quantum Gases · Physics 2019-07-02 F. Nur Ünal , Babak Seradjeh , André Eckardt

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

Floquet topological photonic insulators characterized by periodically-varying Hamiltonians are known to exhibit much richer topological behaviors than static systems. In a Floquet insulator, the phase evolution of the Floquet-Bloch modes…

Optics · Physics 2024-06-19 Shirin Afzal , Vien Van

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 derive a systematic high-frequency expansion for the effective Hamiltonian and the micromotion operator of periodically driven quantum systems. Our approach is based on the block diagonalization of the quasienergy operator in the…

Quantum Gases · Physics 2015-09-25 André Eckardt , Egidijus Anisimovas

We study the dynamics of the non-Hermitian Floquet Wannier-Stark system in the framework of the tight-binding approximation, where the hopping strength is a periodic function of time with Floquet frequency $\omega$. It is shown that the…

Quantum Physics · Physics 2024-12-23 H. P. Zhang , K. L. Zhang , Z. Song

The non-equilibrium control of electronic properties has emerged as a transformative paradigm for engineering novel quantum phases. The most intriguing example of such a phase is light-induced superconductivity (SC) in non-superconducting…

Superconductivity · Physics 2026-02-24 Suryashekhar Kusari , Arti Garg

We construct a systematic high-frequency expansion for periodically driven quantum systems based on the Brillouin-Wigner (BW) perturbation theory, which generates an effective Hamiltonian on the projected zero-photon subspace in the Floquet…

Mesoscale and Nanoscale Physics · Physics 2016-05-03 Takahiro Mikami , Sota Kitamura , Kenji Yasuda , Naoto Tsuji , Takashi Oka , Hideo Aoki

We study a chain of periodically driven Rydberg atoms and identify a class of drive protocols for which the system exhibits emergent prethermal Bethe integrability at special drive frequencies. We provide a perturbative analytic expression…

Quantum Physics · Physics 2026-05-14 Saptadip Roy , Arnab Sen , Diptiman Sen , K. Sengupta

Periodically driven systems provide tunable platforms to realize interesting Floquet topological phases and phase transitions. In electronic systems with Weyl dispersions, the band crossings are topologically protected even in the presence…

Mesoscale and Nanoscale Physics · Physics 2016-09-14 Ching-Kit Chan , Yun-Tak Oh , Jung Hoon Han , Patrick A. Lee

We derive effective Floquet Hamiltonians for twisted bilayer graphene driven by circularly polarized light in two different regimes beyond the weak-drive, high frequency regime. First, we consider a driving protocol relevant for experiments…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Michael Vogl , Martin Rodriguez-Vega , Gregory A. Fiete

When a Dirac semimetal is subject to a circularly polarized laser, it is predicted that the Dirac cone splits into two Weyl nodes and a nonequilibrium transient state called the Floquet Weyl semimetal is realized. We focus on the previously…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Leda Bucciantini , Sthitadhi Roy , Sota Kitamura , Takashi Oka

Periodic driving enables realization of topological phases without static counterparts. We experimentally realize and detect a one-dimensional anomalous Floquet topological phase in an optical lattice, using multi-frequency control to…

Quantum Gases · Physics 2026-04-08 Pengju Zhao , Yudong Wei , Zhongshu Hu , Shengjie Jin , Xuzong Chen , Xiong-jun Liu

A saddle point plus fluctuations analysis of the periodically driven half-filled two-dimensional Hubbard model is performed. For drive frequencies below the equilibrium gap, we find discontinuous transitions to time-dependent solutions. A…

Strongly Correlated Electrons · Physics 2019-09-25 Nicklas Walldorf , Dante M. Kennes , Jens Paaske , Andrew J. Millis

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

We study entanglement transitions in a periodically driven Ising chain in the presence of an imaginary transverse field $\gamma$ as a function of drive frequency $\omega_D$. In the high drive amplitude and frequency regime, we find a…

Strongly Correlated Electrons · Physics 2024-07-17 Tista Banerjee , K. Sengupta

Periodically driven non-Hermitian systems could possess exotic nonequilibrium phases with unique topological, dynamical and transport properties. In this work, we introduce an experimentally realizable two-leg ladder model subjecting to…

Quantum Physics · Physics 2020-08-26 Longwen Zhou

A photonic Floquet topological insulator has previously been experimentally realized in an array of evanescently-coupled helical waveguides. In the topological regime probed by that experiment, the chirality of the single topological edge…

Higher-order topological phases are characterized by protected states localized at the corners or hinges of the system. By applying time-periodic quenches to a two-dimensional lattice with balanced gain and loss, we obtain a rich variety of…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Jiaxin Pan , Longwen Zhou