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The introduction of topological invariants, ranging from insulators to metals, has provided new insights into the traditional classification of electronic states in condensed matter physics. A sudden change in the topological invariant at…

Mesoscale and Nanoscale Physics · Physics 2018-05-31 Cheng Zhang , Hai-Zhou Lu , Shun-Qing Shen , Yong P. Chen , Faxian Xiu

Continuous transitions between states with the {\em same} symmetry but different topological orders are studied. Clean quantum Hall (QH) liquids with neutral quasiparticles are shown to have such transitions. For clean bilayer (nnm) states,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Xiao-Gang Wen

Quantum state transmission in spin chains is a fundamental problem within quantum technologies. The Su-Schrieffer-Heeger (SSH) model, first introduced in the context of polyacetylene, provides a paradigmatic example of a system exhibiting…

Quantum Physics · Physics 2025-08-27 Lautaro Moragues , Diego Acosta Coden , Omar Osenda , Alejandro Ferrón

The chiral spin liquid is one of the canonical examples of a topological state of quantum spins coexisting with symmetry-breaking chiral order; its experimental realization has been actively discussed in the past few years. Here, motivated…

Strongly Correlated Electrons · Physics 2022-08-31 Yan-Qi Wang , Chunxiao Liu , Joel E. Moore

We experimentally demonstrate and characterize a photonic platform containing heterogeneous topological phases. This platform is shown to support valley-spin locked edge states that can be routed based on their spin and valley degrees of…

Applied Physics · Physics 2017-12-14 Kueifu Lai , Yang Yu , Yuchen Han , Fei Gao , Baile Zhang , Gennady Shvets

What is the role of topology in the propagation of quantum light in photonic lattices? We address this question by studying the propagation of squeezed states in a topological one-dimensional waveguide array, benchmarking our results with…

Quantum spin Hall insulators, recently realized in HgTe/(Hg,Cd)Te quantum wells, support topologically protected, linearly dispersing edge states with spin-momentum locking. A local magnetic exchange field can open a gap for the edge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Carsten Timm

A criterion is given for topological stability of Abelian quantum Hall states, and of Luttinger liquids at the boundaries between such states; this suggests a selection rule on states in the quantum Hall hierarchy theory. The linear…

Condensed Matter · Physics 2016-08-31 F. D. M. Haldane

Topology provides an essential concept for achieving unchanged (or protected) quantum properties in the presence of perturbations. A challenge facing realistic applications is that the level of protection displayed in real systems is…

Mesoscale and Nanoscale Physics · Physics 2024-10-29 Anh Ho Hoai , Jian Huang , L. N. Pfeiffer , K. W. West

We have studied the formation of Hall-qubit (LLL state) in Quantum Hall effect due to the Aharonov-Bhom oscillation of quasiparticles.The spin echo method plays the key role in the topological entanglement of qubits. The proper ratio of…

Strongly Correlated Electrons · Physics 2011-04-19 Dipti Banerjee

While solid-state devices offer naturally reliable hardware for modern classical computers, thus far quantum information processors resemble vacuum tube computers in being neither reliable nor scalable. Strongly correlated many body states…

Quantum Physics · Physics 2015-03-19 Joseph M. Renes , Akimasa Miyake , Gavin K. Brennen , Stephen D. Bartlett

The quantum anomalous Hall (QAH) effect has been recently discovered in experiment using thin-film topological insulator with ferromagnetic ordering and strong spin-orbit coupling. Here we investigate the spin degree of freedom of a QAH…

Mesoscale and Nanoscale Physics · Physics 2014-09-30 Jiansheng Wu , Jie Liu , Xiong-Jun Liu

Solid-state topological insulating phases, characterized by spin-momentum locked edge modes, provide a powerful route for spin and charge manipulation in electronic devices. We propose to control charge and spin transport in the helical…

Mesoscale and Nanoscale Physics · Physics 2013-03-01 Paolo Michetti , Björn Trauzettel

Topological protection allows robust transport of localized phenomena such as quantum information, solitons, and dislocations. The transport can be either dissipative or non-dissipative. Here, we experimentally demonstrate and theoretically…

Soft Condensed Matter · Physics 2016-06-15 Johannes Loehr , Michael Loenne , Adrian Ernst , Daniel de las Heras , Thomas M. Fischer

Topological surface states are a class of novel electronic states that are of potential interest in quantum computing or spintronic applications. Unlike conventional two-dimensional electron states, these surface states are expected to be…

Mesoscale and Nanoscale Physics · Physics 2010-07-16 Jungpil Seo , Pedram Roushan , Haim Beidenkopf , Y. S. Hor , R. J. Cava , Ali Yazdani

We demonstrate the controlled coherent transfer of topological domain walls in a one-dimensional non-Hermitian chain of interacting Bose-Einstein condensates. The topological protection stems from a spatially patterned pump in an…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Paolo Comaron , Vanik Shahnazaryan , Michał Matuszewski

Quantum Hall physics is at the heart of research on both matter and artificial systems, such as cold atomic gases, with non-trivial topological order. We report on the observation of a chiral edge current by transferring atomic wavepackets…

We show that a quantum state transfer, previously studied as a continuous time process in networks of interacting spins, can be achieved within the model of discrete time quantum walks with position dependent coin. We argue that due to…

Quantum Physics · Physics 2016-10-05 Pawel Kurzynski , Antoni Wojcik

Quantum spin liquids may be considered "quantum disordered" ground states of spin systems, in which zero point fluctuations are so strong that they prevent conventional magnetic long range order. More interestingly, quantum spin liquids are…

Strongly Correlated Electrons · Physics 2017-02-21 Lucile Savary , Leon Balents

Topological states of quantum matter exhibit unique disorder-immune surface states protected by underlying nontrivial topological invariants of the bulk. Such immunity from backscattering makes topological surface or edge states ideal…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 S. Hossein Mousavi , Alexander B. Khanikaev , Zheng Wang