Unconventional Floquet topological phases from quantum engineering of band inversion surfaces

• URL: http://arxiv.org/abs/2112.01086v3
• Date: Wed, 12 Oct 2022 08:31:32 GMT
• Title: Unconventional Floquet topological phases from quantum engineering of band inversion surfaces
• Authors: Long Zhang, Xiong-Jun Liu
• Abstract summary: Floquet engineering provides a toolbox for the realization of novel quantum phases without static counterparts. We propose a scheme to realize unconventional Floquet topological phases by engineering local band structures in particular momentum subspace called band surfaces (BISs) This scheme is based on a new bulk-boundary correspondence that for a class of generic $d$-dimensional periodically driven systems, the local topological structure formed in each BIS uniquely determines the features of gapless boundary modes.
• Score: 2.722229723122409
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Floquet engineering provides a toolbox for the realization of novel quantum phases without static counterparts, while conventionally the realization may rely on the manipulation of complex temporal evolution. Here we propose a systematic and high-precision scheme to realize unconventional Floquet topological phases by engineering local band structures in particular momentum subspace called band inversion surfaces (BISs). This scheme is based on a new bulk-boundary correspondence that for a class of generic $d$-dimensional periodically driven systems, the local topological structure formed in each BIS uniquely determines the features of gapless boundary modes. By engineering the BIS configuration we demonstrate a highly efficient approach to realize, manipulate, and detect novel Floquet topological phases. In particular, we predict a two-dimensional (2D) anomalous Floquet valley-Hall phase which carries trivial global bulk topological invariants but features protected counter-propagating edge states in each quasienergy gap. The unconventional nature of this novel 2D phase is further illustrated by the examination of edge geometry dependence and its robustness to disorder scattering. Anomalous chiral topological phases with valley protection in higher dimension are also predicted and studied. Our systematic and highly feasible scheme opens a new route to realize and engineer unconventional Floquet topological phases for ultracold atoms and other quantum simulators.

Related papers

• Real-space detection and manipulation of topological edge modes with ultracold atoms [56.34005280792013]
  We demonstrate an experimental protocol for realizing chiral edge modes in optical lattices. We show how to efficiently prepare particles in these edge modes in three distinct Floquet topological regimes. We study how edge modes emerge at the interface and how the group velocity of the particles is modified as the sharpness of the potential step is varied.
  arXiv  Detail & Related papers  (2023-04-04T17:36:30Z)
• Tuning anomalous Floquet topological bands with ultracold atoms [6.035032969908176]
  Floquet engineering opens the way to create new topological states without counterparts in static systems. We report the experimental realization and characterization of new anomalous topological states with high-precision Floquet engineering.
  arXiv  Detail & Related papers  (2022-11-09T08:25:29Z)
• Enhancement of quantum correlations and geometric phase for a driven bipartite quantum system in a structured environment [77.34726150561087]
  We study the role of driving in an initial maximally entangled state evolving under a structured environment. This knowledge can aid the search for physical setups that best retain quantum properties under dissipative dynamics.
  arXiv  Detail & Related papers  (2021-03-18T21:11:37Z)
• Theory of Anomalous Floquet Higher-Order Topology: Classification, Characterization, and Bulk-Boundary Correspondence [1.9087335681007476]
  We provide a framework to understand anomalous Floquet higher-order topological insulators (AFHOTIs) Such AFHOTIs are defined by their robust, symmetry-protected corner modes pinned at special quasienergies. The corner-mode physics of an AFHOTI is found to be generically indicated by 3D Dirac/Weyl-like topological singularities.
  arXiv  Detail & Related papers  (2020-10-15T18:00:01Z)
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics [58.720142291102135]
  We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions. We show that our system exhibits topologicalband structures under appropriate conditions.
  arXiv  Detail & Related papers  (2020-08-06T19:58:05Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime [125.99533416395765]
  We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry. The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
  arXiv  Detail & Related papers  (2020-07-04T11:02:20Z)
• Unified theory to characterize Floquet topological phases by quench dynamics [6.496235214212858]
  We propose a unified theory based on quantum quenches to characterize generic $d$-dimensional ($d$D) Floquet topological phases. For a $d$D phase which is initially static and trivial, we introduce the quench dynamics by suddenly turning on the periodic driving. This prediction provides a simple and unified characterization, in which one can not only extract the number of conventional and anomalous Floquet boundary modes, but also identify the topologically protected singularities in the phase bands.
  arXiv  Detail & Related papers  (2020-04-29T08:18:22Z)
• Simulation of higher-order topological phases in 2D spin-phononic crystal networks [15.41200827860072]
  We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively control and enhance the bipartite silicon-vacancy (SiV) center arrays. In momentum space, we analyze and simulate the topological nontrivial properties of the one- and two-dimensional system.
  arXiv  Detail & Related papers  (2020-04-17T03:24:53Z)
• Realization of an anomalous Floquet topological system with ultracold atoms [0.879504058268139]
  Coherent control via periodic modulation, also known as Floquet engineering, has emerged as a powerful experimental method for the realization of novel quantum systems. Here, we realize a system with bosonic atoms in a periodically-driven honeycomb lattice and infer the complete set of topological invariants from energy gap measurements and local Hall deflections.
  arXiv  Detail & Related papers  (2020-02-23T06:37:33Z)
• Probing chiral edge dynamics and bulk topology of a synthetic Hall system [52.77024349608834]
  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. Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension. We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
  arXiv  Detail & Related papers  (2020-01-06T16:59:08Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.