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A Floquet systems is a periodically driven quantum system. It can be described by a Floquet operator. If this unitary operator has a gap in the spectrum, then one can define associated topological bulk invariants which can either only…

数学物理 · 物理学 2017-10-25 Christian Sadel , Hermann Schulz-Baldes

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…

光学 · 物理学 2024-06-19 Shirin Afzal , Vien Van

Quantum Hall edge states in proximity to a superconductor (SC) usually acquire a non-quantized electron-to-hole conversion probability in transport, due to non-universal SC couplings and disorders. With counter-propagating modes, we show…

介观与纳米尺度物理 · 物理学 2026-01-26 Pok Man Tam , Hao Chen , Biao Lian

Recent work has shown that a variety of novel phases of matter arise in periodically driven Floquet systems. Among these are many-body localized phases which spontaneously break global symmetries and exhibit novel multiplets of Floquet…

无序系统与神经网络 · 物理学 2016-08-23 C. W. von Keyserlingk , Vedika Khemani , S. L. Sondhi

We study the Majorana modes, both equilibrium and Floquet, which can appear at the edges of the Kitaev model on the honeycomb lattice. We first present the analytical solutions known for the equilibrium Majorana edge modes for both zigzag…

介观与纳米尺度物理 · 物理学 2015-06-17 Manisha Thakurathi , K. Sengupta , Diptiman Sen

We consider asymmetric and symmetric dimerized two-leg ladders, comprising of four different lattice points per unit cell, illuminated by circularly polarized light. In the asymmetric dimerized ladder case, rungs are not perpendicular to…

介观与纳米尺度物理 · 物理学 2020-09-08 Milad Jangjan , Mir Vahid Hosseini

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…

量子气体 · 物理学 2017-11-27 A. Quelle , C. Weitenberg , K. Sengstock , C. Morais Smith

Near-resonant periodic driving of quantum systems promises the implementation of a large variety of novel effective Hamiltonians. The challenge of Floquet engineering lies in the preparation and measurement of the desired quantum state. We…

Time-periodic perturbations due to classical electromagnetic fields are useful to engineer the topological properties of matter using the Floquet theory. Here we investigate the effect of quantized electromagnetic fields by focusing on the…

强关联电子 · 物理学 2015-10-16 Balázs Gulácsi , Balázs Dóra

Anomalous Floquet topological phases are a hallmark, without a static analog, of periodically driven systems. Recently, Quantum Floquet Engineering has emerged as an interesting approach to cavity-QED materials, which recovers the physics…

量子物理 · 物理学 2023-12-19 Beatriz Pérez-González , Gloria Platero , Álvaro Gómez-León

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…

光学 · 物理学 2022-05-10 Wange Song , Hanmeng Li , Shenglun Gao , Shengjie Wu , Chen Chen , Shining Zhu , Tao Li

We study the stroboscopic dynamics of hinge modes of a second-order topological material modeled by a tight-binding free fermion Hamiltonian on a cubic lattice in the intermediate drive frequency regime for both discrete (square pulse) and…

介观与纳米尺度物理 · 物理学 2022-07-13 Somsubhra Ghosh , Kush Saha , K. Sengupta

The Quantum Hall Effect for free electrons in external periodic field is discussed without using the linear response approximation. We find that the Hall conductivity is related in a simple way to Floquet energies (associated to the…

介观与纳米尺度物理 · 物理学 2015-06-25 Ruggero Ferrari

We consider a periodically $\delta$-kicked Haldane type Chern insulator with the kicking applied in the $\hat{z}$ direction. This is known to behave as an inversion symmetry breaking perturbation, since it introduces a time-dependent…

介观与纳米尺度物理 · 物理学 2018-02-14 Tridev Mishra , Anurag Pallaprolu , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay

Inspired by current research on measurement-induced quantum phase transitions, we analyze the nonunitary Floquet transverse-field Ising model with complex nearest-neighbor couplings and complex transverse fields. Unlike its unitary…

量子物理 · 物理学 2024-02-02 Lei Su , Aashish Clerk , Ivar Martin

We study the scattering of an electron from a one dimensional inverted Gaussian atomic potential in the presence of strong time periodic electric fields. Using Floquet theory, we construct the Floquet Scattering matrix in the…

原子物理 · 物理学 2009-11-07 Agapi Emmanouilidou , L. E. Reichl

Results are presented for Floquet systems in two spatial dimensions where the Floquet driving breaks an effective time reversal symmetry. The driving protocol also induces flat bands that correspond to anomalous Floquet phases where the…

介观与纳米尺度物理 · 物理学 2022-07-15 Ceren B. Dag , Aditi Mitra

We study the localization-delocalization transition of Floquet eigenstates in a driven fermionic chain with an incommensurate Aubry-Andr\'{e} potential and a hopping amplitude which is varied periodically in time. Our analysis shows the…

统计力学 · 物理学 2021-05-26 Madhumita Sarkar , Roopayan Ghosh , Arnab Sen , K. Sengupta

An external periodic (Floquet) drive is believed to bring any initial state to the featureless infinite temperature state in generic nonintegrable isolated quantum many-body systems in the thermodynamic limit, irrespective of the driving…

量子物理 · 物理学 2024-07-25 Tatsuhiko N. Ikeda , Sho Sugiura , Anatoli Polkovnikov

Floquet topological insulators describe independent electrons on a lattice driven out of equilibrium by a time-periodic Hamiltonian, beyond the usual adiabatic approximation. In dimension two such systems are characterized by integer-valued…

数学物理 · 物理学 2018-03-05 Gian Michele Graf , Clément Tauber