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This work reports the general design and characterization of two exotic, anomalous nonequilibrium topological phases. In equilibrium systems, the Weyl nodes or the crossing points of nodal lines may become the transition points between…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Weiwei Zhu , Muhammad Umer , Jiangbin Gong

Metal-to-insulator transitions (MITs) are a dramatic manifestation of strong electron correlations in solids1. The insulating phase can often be suppressed by quantum tuning, i.e. varying a nonthermal parameter such as chemical composi-…

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…

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

In Hermitian topological systems, the bulk-boundary correspondence strictly constraints boundary transport to values determined by the topological properties of the bulk. We demonstrate that this constraint can be lifted in non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2019-11-26 Bastian Höckendorf , Andreas Alvermann , Holger Fehske

Quantum wires subject to the combined action of spin-orbit and Zeeman coupling in the presence of \emph{s}-wave pairing potentials (superconducting proximity effect in semiconductors or superfluidity in cold atoms) are one of the most…

Mesoscale and Nanoscale Physics · Physics 2013-03-25 Andres A. Reynoso , Diego Frustaglia

This study presents a mechanism that enables the stabilization of Floquet systems indefintely; albeit in a manner that allows for noise during each Floquet cycle. This is due to the fact that external qubits are added after each Floquet…

Quantum Physics · Physics 2023-08-30 Christopher I. Timms

Topological matter exhibits exotic properties yet phases characterized by large topological invariants are difficult to implement, despite rapid experimental progress. A promising route toward higher topological invariants is via engineered…

Quantum Physics · Physics 2019-01-02 Lei Xiao , Xingze Qiu , Kunkun Wang , Zhihao Bian , Xiang Zhan , Hideaki Obuse , Barry C. Sanders , Wei Yi , Peng Xue

Finding suitable indicators for characterizing quantum phase transitions plays an important role in understanding different phases of matter. It is especially important for fracton phases where a combination of topology and…

Quantum Physics · Physics 2022-07-04 Mohammad Hossein Zarei , Mohammad Nobakht

Quantum control of the many-body wavefunction is a central challenge in quantum materials research, as it could yield a precise control knob to manipulate emergent phenomena. Floquet engineering, the coherent dressing of quantum states with…

A recently-proposed class of photonic topological insulators is shown to map onto Chalker-Coddington-type networks, which were originally formulated to study disordered quantum Hall systems. Such network models are equivalent to the Floquet…

Mesoscale and Nanoscale Physics · Physics 2014-02-17 Michael Pasek , Y. D. Chong

Three-body correlations, which arise between spin-polarized electrons in the first excited Landau level, are believed to play a key role in the emergence of enigmatic non-Abelian fractional quantum Hall (FQH) effects. Inspired by recent…

Strongly Correlated Electrons · Physics 2018-12-12 Ching Hua Lee , Wen Wei Ho , Bo Yang , Jiangbin Gong , Zlatko Papić

Topologically protected edge states exactly at topological phase boundaries challenge the conventional belief that topological states must be associated with a bulk energy gap. Because periodically driven (Floquet) systems host unusually…

Statistical Mechanics · Physics 2025-05-26 Longwen Zhou , Jiangbin Gong , Xue-Jia Yu

We propose to Floquet-engineer Dirac cones at the surface of a three-dimensional topological insulator. We show that a large tunability of the Fermi velocity can be achieved as a function of the polarization, direction and amplitude of the…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 A. Diaz-Fernandez , E. Diaz , Álvaro Gómez-León , Gloria Platero , F. Domínguez-Adame

Light-dressed materials hold enormous potential for generating new electronic properties. The band structure resulting from light-dressing can exhibit starkly different quantum and topological phenomena. So far, optical control of charge…

Hermitian Hamiltonians with time-periodic coefficients can be analyzed via Floquet theory, and have been extensively used for engineering Floquet Hamiltonians in standard quantum simulators. Generalized to non-Hermitian Hamiltonians,…

Quantum Physics · Physics 2024-02-16 Julia Cen , Yogesh N. Joglekar , Avadh Saxena

Floquet symmetry protected topological (FSPT) phases are non-equilibrium topological phases enabled by time-periodic driving. FSPT phases of 1d chains of bosons, spins, or qubits host dynamically protected edge states that can store quantum…

Strongly Correlated Electrons · Physics 2018-06-13 Ajesh Kumar , Philipp T. Dumitrescu , Andrew C. Potter

We propose and study a wave function describing an interacting three-dimensional fractional chiral hinge insulator (FCHI) constructed by Gutzwiller projection of two non-interacting second order topological insulators with chiral hinge…

Strongly Correlated Electrons · Physics 2021-04-28 Anna Hackenbroich , Ana Hudomal , Norbert Schuch , B. Andrei Bernevig , Nicolas Regnault

Discrete-step walks describe the dynamics of particles in a lattice subject to hopping or splitting events at discrete times. Despite being of primordial interest to the physics of quantum walks, the topological properties arising from…

Square-root higher-order topological insulators (HOTIs) are recently discovered new topological phases, with intriguing topological properties inherited from a parent lattice Hamiltonian. Different from conventional HOTIs, the square-root…

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