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We study micromotion in two-dimensional periodically driven systems in which all bulk Floquet eigenstates are localized by disorder. We show that this micromotion gives rise to a quantized time-averaged magnetization density when the system…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Frederik Nathan , Mark S. Rudner , Netanel H. Lindner , Erez Berg , Gil Refael

We show that time-reflection symmetry in periodically driven (Floquet) quantum systems enables an inherently nonequilibrium phenomenon structurally similar to quantum-mechanical sypersymmetry. In particular, we find Floquet analogues of the…

Strongly Correlated Electrons · Physics 2018-05-30 Thomas Iadecola , Timothy H. Hsieh

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…

Quantum Physics · Physics 2023-12-19 Beatriz Pérez-González , Gloria Platero , Álvaro Gómez-León

Recently, anomalous Floquet topological phases without static counterparts have been observed in different systems, where periodically driven models are realized to support a winding number of 1 and a pair of edge modes in each quasienergy…

Quantum Gases · Physics 2024-03-20 Kaiye Shi , Xiang Zhang , Wei Zhang

We report the theoretical discovery and characterization of higher-order Floquet topological phases dynamically generated in a periodically driven system with mirror symmetries. We demonstrate numerically and analytically that these phases…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Martin Rodriguez-Vega , Abhishek Kumar , Babak Seradjeh

We relate the collective dynamic internal geometric degrees of freedom to the gauge fluctuations in $\nu=1/m$(m odd) fractional quantum Hall effects. In this way, in the lowest Landau level, a highly nontrivial quantum geometry in…

Strongly Correlated Electrons · Physics 2016-06-15 Xi Luo , Yong-Shi Wu , Yue Yu

In this paper we discuss decomposition in the context of three-dimensional Chern-Simons theories. Specifically, we argue that a Chern-Simons theory with a gauged noneffectively-acting one-form symmetry is equivalent to a disjoint union of…

High Energy Physics - Theory · Physics 2023-03-14 T. Pantev , E. Sharpe

This paper investigates the holographic realization of anyons in \(SU(N)_k\) Chern-Simons theory within the AdS/CFT framework. The study extends traditional models, such as \(SU(2)\), to higher-rank groups like \(SU(3)\) and \(SU(4)\),…

High Energy Physics - Theory · Physics 2025-05-23 Tzu-Miao Chou

We study the various quantum aspects of the $N=2$ supersymmetric Maxwell Chern-Simons vortex systems. The fermion zero modes around the vortices will give rise the degenerate states of vortices. We analyze the angular momentum of these zero…

High Energy Physics - Theory · Physics 2011-07-19 Bum-Hoon Lee , Hyunsoo Min

Chern-Simons orbital magnetoelectric (OME) coupling is usually the hallmark of nontrivial band topology in three-dimensional (3D) crystalline insulators. However, if a 3D insulator exhibits nonzero Chern number within any two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 Yang Xue , Jianpeng Liu

Periodically driven systems with internal and spatial symmetries can exhibit a variety of anomalous boundary behaviors at both the zero and $\pi$ quasienergies despite the trivial bulk Floquet bands. These phenomena are called anomalous…

Mesoscale and Nanoscale Physics · Physics 2022-02-22 DinhDuy Vu

At high-frequency a periodically-driven quantum spin-1/2 system can emulate a chiral spin liquid (CSL) described by an effective static local chiral Hamiltonian. In contrast, at low-frequency these settings realize "Swap" models exhibiting…

Strongly Correlated Electrons · Physics 2026-05-28 Matthieu Mambrini , Nathan Goldman , Didier Poilblanc

Modern technological advances allow for the study of systems with additional synthetic dimensions. Using such approaches, higher-dimensional physics that was previously deemed to be of purely theoretical interest has now become an active…

Mesoscale and Nanoscale Physics · Physics 2018-10-25 Ioannis Petrides , Hannah M. Price , Oded Zilberberg

Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. In condensed matter devices, material imperfections hinder a direct…

We study bulk-boundary correspondences and related surface phenomena stabilized by the second Chern number in three-dimensional insulators driven in adiabatic cycles. Magnetic fields and disorder effects are incorporated in our analysis…

Strongly Correlated Electrons · Physics 2020-05-07 Bryan Leung , Emil Prodan

The topological characterization of nonequilibrium topological matter is highly nontrivial because familiar approaches designed for equilibrium topological phases may not apply. In the presence of crystal symmetry, Floquet topological…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Weiwei Zhu , Yidong Chong , Jiangbin Gong

Floquet states can be realized in quantum systems driven by continuous time-periodic perturbations. It is known that a state known as the Floquet Weyl semimetal can be realized when free Dirac fermions are placed in a rotating electric…

High Energy Physics - Theory · Physics 2017-08-23 Koji Hashimoto , Shunichiro Kinoshita , Keiju Murata , Takashi Oka

The frequency-dependent longitudinal and Hall conductivities --- $\sigma_{xx}$ and $\sigma_{xy}$ --- are dimensionless functions of $\omega/T$ in 2+1 dimensional CFTs at nonzero temperature. These functions characterize the spectrum of…

High Energy Physics - Theory · Physics 2016-08-24 Guy Gur-Ari , Sean A. Hartnoll , Raghu Mahajan

The insertion of a local magnetic flux, as the one created by a thin solenoid, plays an important role in gedanken experiments of quantum Hall physics. By combining Floquet engineering of artificial magnetic fields with the ability of…

Quantum Gases · Physics 2018-06-20 Botao Wang , F. Nur Ünal , André Eckardt

We analyze the electromagnetic response of a system of charged bosons coupled to a Chern-Simons gauge field. Path integral techniques are used to obtain an effective action for the particle density of the system dressed with quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. G. Barci , E. V. Correa Silva , J. F. Medeiros Neto