Related papers: Higher-order topological states mediated by long-range coupling in $D

Higher-order topological states mediated by long-range coupling in $D_4$-symmetric lattices

URL: http://arxiv.org/abs/2103.08980v1
Date: Tue, 16 Mar 2021 11:15:54 GMT
Title: Higher-order topological states mediated by long-range coupling in $D_4$-symmetric lattices
Authors: Nikita A. Olekhno, Alina D. Rozenblit, Valerii I. Kachin, Alexey A. Dmitriev, Oleg I. Burmistrov, Pavel S. Seregin, Dmitry V. Zhirihin, Maxim A. Gorlach
Abstract summary: Topological physics opens a door towards flexible routing and resilient localization of waves of various nature. Recently proposed higher-order topological insulators provide advanced control over wave localization in the structures of different dimensionality. Here, we design and experimentally realize the resonant electric circuit with $D_4$ symmetry and additional next-nearest-neighbor couplings.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Topological physics opens a door towards flexible routing and resilient localization of waves of various nature. Recently proposed higher-order topological insulators provide advanced control over wave localization in the structures of different dimensionality. In many cases, the formation of such higher-order topological phases is governed by the lattice symmetries, with kagome and breathing honeycomb lattices being prominent examples. Here, we design and experimentally realize the resonant electric circuit with $D_4$ symmetry and additional next-nearest-neighbor couplings. As we prove, a coupling of the distant neighbors gives rise to an in-gap corner state. Retrieving the associated invariant directly from the experiment, we demonstrate the topological nature of the designed system, revealing the role of long-range interactions in the formation of topological phases. Our results thus highlight the distinctions between tight-binding systems and their photonic counterparts with long-range couplings.

Related papers

Topological multi-mode waveguide QED [49.1574468325115]
We show how to take advantage of topologically protected propagating modes by interfacing them with quantum emitters. Such capabilities pave the way for generating quantum gates among topologically protected photons as well as generating more complex entangled states of light in topological channels.
arXiv Detail & Related papers (2022-07-05T14:48:50Z)
Subradiant edge states in an atom chain with waveguide-mediated hopping [0.0]
We analyze a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce excitation hopping. We find that, in the single excitation limit, the bulk topological properties of the Hamiltonian that describes the coherent dynamics of the system are identical to the ones of a one-dimensional Su-Schrieffer-Heeger model. We analytically identify parameter regimes where edge states arise which are fully localized to the boundaries of the chain, independently of the system size.
arXiv Detail & Related papers (2022-05-27T09:35:49Z)
Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
arXiv Detail & Related papers (2022-03-31T13:32:12Z)
Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
arXiv Detail & Related papers (2021-12-20T09:46:08Z)
Topological Properties of Photonic Bands with Synthetic Momentum [0.0]
We investigate topological aspects of photonic crystal bands in a hybrid momentum space consisting of a genuine momentum and a synthetic one. Remarkably, the unconventional behaviour of the synthetic momentum allows for the existence of non-trivial topological phases. Our results pave the way to the paradigm of rich topological phenomena of photonic systems with hybrid momentum space.
arXiv Detail & Related papers (2021-11-04T13:03:26Z)
Qubit-photon bound states in topological waveguides with long-range hoppings [62.997667081978825]
Quantum emitters interacting with photonic band-gap materials lead to the appearance of qubit-photon bound states. We study the features of the qubit-photon bound states when the emitters couple to the bulk modes in the different phases. We consider the coupling of emitters to the edge modes appearing in the different topological phases.
arXiv Detail & Related papers (2021-05-26T10:57:21Z)
Devil's staircase of topological Peierls insulators and Peierls supersolids [0.0]
We consider a mixture of ultracold bosonic atoms on a one-dimensional lattice described by the XXZ-Bose-Hubbard model. We show how the inclusion of antiferromagnetic interactions among the spin degrees of freedom generates a Devil's staircase of symmetry-protected topological phases.
arXiv Detail & Related papers (2020-11-18T11:58:16Z)
Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions [72.46695228124449]
We study a one-dimensional polaronic topological superconductor with phonon-dressed $p$-wave pairing. We show that when the memory depth increases, the Majorana edge dynamics transits from relaxing monotonically to a plateau of substantial value into a collapse-and-buildup behavior.
arXiv Detail & Related papers (2020-06-24T07:32:51Z)
Enhanced repulsively bound atom pairs in topological optical lattice ladders [0.0]
We investigate interacting bosons in a Cruetz ladder characterised by topological flat energy bands. It has been proposed that interactions can lead to the formation of bound atomic pairs giving rise to pair superfluidity. This work provides a starting point for investigating the interplay between the effects of topology, interactions and pairing in more general systems.
arXiv Detail & Related papers (2020-06-12T12:17:35Z)
Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
arXiv Detail & Related papers (2020-03-24T17:31:34Z)

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