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We show that the one-way channel formalism of quantum optics has a physical realisation in electronic systems. In particular, we show that magnetic edge states form unidirectional quantum channels capable of coherently transporting…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. M. Stace , C. H. W. Barnes , G. J. Milburn

The existence of chiral edge states, corresponding to the nontrivial bulk-band topology characterized by a non-vanishing topological invariant, and the manipulation of topological transport via chiral edge states promise topological…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Muhammad Nadeem , Xiaolin Wang

Protected edge modes are the cornerstone of topological states of matter. The simplest example is provided by the integer quantum Hall state at Landau level filling unity, which should feature a single chiral mode carrying electronic…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Udit Khanna , Moshe Goldstein , Yuval Gefen

An established way of realizing topologically protected states in a two-dimensional electron gas is by applying a perpendicular magnetic field thus creating quantum Hall edge channels. In electrostatically gapped bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Fabian R. Geisenhof , Felix Winterer , Anna M. Seiler , Jakob Lenz , Ivar Martin , R. Thomas Weitz

The idea of quantum state storage is generalized to describe the coherent transfer of quantum information through a coherent data bus. In this universal framework, we comprehensively review our recent systematical investigations to explore…

Quantum Physics · Physics 2009-11-10 Z. Song , C. P. Sun

We study theoretically the transport of the one-dimensional single-channel interacting electron gas through a strong potential barrier in the parameter regime where the spin sector of the low-energy Luttinger liquid theory is gapped by…

Strongly Correlated Electrons · Physics 2018-03-07 N. Kainaris , S. T. Carr , A. D. Mirlin

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

Quantum Physics · Physics 2022-12-05 Guliuxin Jin , Eliska Greplova

We present a protocol to implement discrete-time quantum walks and simulate topological insulator phases in cavity-based quantum networks, where the single photon is the quantum walker and the cavity input-output process is employed to…

Quantum Physics · Physics 2020-03-16 Ya Meng , Feng Mei , Gang Chen , Suotang Jia

Topological insulator phases of non-interacting particles have been generalized from periodic crystals to amorphous lattices, which raises the question whether topologically ordered quantum many-body phases may similarly exist in amorphous…

Strongly Correlated Electrons · Physics 2023-11-01 Gino Cassella , Peru D'Ornellas , Thomas Hodson , Willian M. H. Natori , Johannes Knolle

In topological quantum computing, information is encoded in "knotted" quantum states of topological phases of matter, thus being locked into topology to prevent decay. Topological precision has been confirmed in quantum Hall liquids by…

Quantum Algebra · Mathematics 2017-12-06 Eric C. Rowell , Zhenghan Wang

With the discovery of Majorana quasiparticles in semiconductor-superconductor hybrid structures, topologically protected qubits have emerged as a promising contender for quantum information processing. While the construction of a universal…

Mesoscale and Nanoscale Physics · Physics 2018-07-26 Alex Thomson , Falko Pientka

We investigate one-dimensional (1D) discrete time quantum walks (QWs) with spatially or temporally random defects as a consequence of interactions with random environments. We focus on the QWs with chiral symmetry in a topological phase,…

Quantum Physics · Physics 2015-03-19 Hideaki Obuse , Norio Kawakami

Quantum spintronics is an emerging field focused on developing novel applications by utilizing the quantum coherence of magnetic systems. A key challenge in this context is achieving scalable long-range quantum information transmission in…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 Ji Zou , Stefano Bosco , Jelena Klinovaja , Daniel Loss

Topological phases of matter are the center of much current interest, with promising potential applications in, e.g., topologically-protected transport and quantum computing. Traditionally such states are prepared by tuning the system…

Quantum Gases · Physics 2020-03-17 Gal Shavit , Moshe Goldstein

Quantum teleportation is a process in which an unknown quantum state is transferred between two spatially separated subspaces of a bipartite quantum system which share an entangled state and communicate classically. In the case of photonic…

Quantum Physics · Physics 2015-09-02 Manuel Erhard , Hammam Qassim , Harjaspreet Mand , Ebrahim Karimi , Robert W Boyd

Topological states of quantum matter have inspired both fascinating physics findings and exciting opportunities for applications. Due to the over-complicated structure of, as well as interactions between, real materials, a faithful quantum…

Quantum Physics · Physics 2021-04-19 Jia Liu , Jun-Yi Cao , Gang Chen , Zheng-Yuan Xue

We propose multi-layer moire structures in strong external magnetic fields as a novel platform for realizing highly-tunable, frustrated Hubbard physics with topological order. Identifying the layer degree of freedom as a pseudo spin, allows…

Strongly Correlated Electrons · Physics 2024-05-09 Clemens Kuhlenkamp , Wilhelm Kadow , Atac Imamoglu , Michael Knap

Gap-protected topological channels are a promising way to realize robust and high-fidelity state transfer in quantum networks. Although various topological transfer protocols based on the Su-Schrieffer-Heeger model or its variants have been…

Quantum Physics · Physics 2025-06-10 Tian Tian

Hybrid two-dimensional electron gas-superconductor (2DEG-S) structures in a quantized magnetic field offer a promising platform for realizing new topological phases. While recent experiments reveal chiral Andreev edge states, their charge…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 M. V. Parfenov , V. S. Khrapai , I. S. Burmistrov
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