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We demonstrate that periodically driven quantum rotors provide a promising and broadly applicable platform to implement multi-gap topological phases, where groups of bands can acquire topological invariants due to non-Abelian braiding of…

Quantum Physics · Physics 2026-02-06 Volker Karle , Mikhail Lemeshko , Adrien Bouhon , Robert-Jan Slager , F. Nur Ünal

We consider the effects of quasiperiodic spatial modulation on the quantum Hall plateau transition, by analyzing the Chalker-Coddington network model for the integer quantum Hall transition with quasiperiodically modulated link phases. In…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Jonas F Karcher , Romain Vasseur , Sarang Gopalakrishnan

Fractional statistics give rise to quantum behaviors that differ fundamentally from those of bosons and fermions. While two-dimensional anyons play a major role in strongly correlated systems and topological quantum computing, the nature of…

Phase randomization is a very important assumption in the Bennett-Brassard 1984 quantum key distribution (QKD) system with a weak coherent source. Thus an active phase modulator is needed to randomize the phase of source. However, it is…

Quantum Physics · Physics 2013-05-28 Shi-Hai Sun , Ming Gao , Mu-Sheng Jiang , Chun-Yan Li , Lin-Mei Liang

Anyons, particles displaying a fractional exchange statistics intermediate between bosons and fermions, play a central role in the fractional quantum Hall effect and various spin lattice models, and have been proposed for topological…

Quantum Physics · Physics 2021-07-01 S. Francesconi , A. Raymond , N. Fabre , A. Lema^itre , M. I. Amanti , P. Milman , F. Baboux , S. Ducci

We investigate integer and fractional quantum Hall states in quantum point contacts (QPCs) of different geometries, defined in AlGaAs/GaAs heterostructures employing different doping and screening techniques. We find that, even in the…

Mesoscale and Nanoscale Physics · Physics 2014-03-11 S. Baer , C. Rössler , E. C. de Wiljes , P. -L. Ardelt , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

We consider topological quantum computation (TQC) with a particular class of anyons that are believed to exist in the Fractional Quantum Hall Effect state at Landau level filling fraction nu=5/2. Since the braid group representation…

Quantum Physics · Physics 2009-11-11 Sergey Bravyi

We study effectively one-dimensional systems that emerge at the edge of a two-dimensional topologically ordered state, or at the boundary between two topologically ordered states. We argue that anyons of the bulk are associated with…

Strongly Correlated Electrons · Physics 2021-08-25 Tsuf Lichtman , Ryan Thorngren , Netanel H. Lindner , Ady Stern , Erez Berg

We study the quantum anomalous Hall effect described by a class of two-component Haldane models on square lattices. We show that the latter can be transformed into a pseudospin triplet p+ip-wave paired superfluid. In the long wave length…

Strongly Correlated Electrons · Physics 2015-03-17 Xuele Liu , Ziqiang Wang , X. C. Xie , Yue Yu

For planar architectures surface code-based quantum error correction is one of the most promising approaches to fault-tolerant quantum computation. This is partially due to the variety of fault-tolerant logical protocols that can be…

Quantum Physics · Physics 2025-09-22 Áron Márton , Luis Colmenarez , Lukas Bödeker , Markus Müller

In the context of adiabatic quantum computation (AQC), it has been argued that first-order quantum phase transitions (QPTs) due to localisation phenomena cause AQC to fail by exponentially decreasing the minimal spectral gap of the…

Quantum Physics · Physics 2024-09-23 Matthias Werner , Artur García-Sáez , Marta P. Estarellas

In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a…

Statistical Mechanics · Physics 2018-08-29 Longwen Zhou , Qing-hai Wang , Hailong Wang , Jiangbin Gong

We demonstrate how pump-probe techniques enable specific diagnostics of fracton phases of matter by exploring how lineon-planon braiding in the paradigmatic X-cube phase may be probed spectroscopically. Our discussion builds on works…

Strongly Correlated Electrons · Physics 2026-03-09 Wei-En Tseng , Oliver Hart , Rahul Nandkishore

The experimental discovery of the fractional Hall conductivity in two-dimensional electron gases revealed new types of quantum particles, called anyons, which are beyond bosons and fermions as they possess fractionalized exchange…

Strongly Correlated Electrons · Physics 2021-09-14 Yan-Cheng Wang , Meng Cheng , William Witczak-Krempa , Zi Yang Meng

The intrinsic fluctuations, memory effects and long-range color interactions in high energy nuclear collisions imply the presence of non-Markovian processes in the fireball evolution, which affects the thermalization process towards…

High Energy Physics - Phenomenology · Physics 2025-11-21 Zhi-Ying Qin , Jia-Hao Shi , Jin-Peng Zhang , Jian Cao , Bo Feng , Wen-Chao Zhang , Hua Zheng , Shi-Jun Mao

We consider the admittance of a chaotic quantum dot, capacitively coupled to a gate and connected to two electron reservoirs by multichannel ballistic point contacts. For a dot in the regime of weak-localization and universal conductance…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 P. W. Brouwer , M. Buttiker

Topological phases in two dimensions support anyonic quasiparticle excitations that obey neither bosonic nor fermionic statistics. These anyon structures often carry global symmetries that relate distinct anyons with similar fusion and…

Strongly Correlated Electrons · Physics 2016-03-09 Jeffrey C. Y. Teo

We demonstrate that absorbing phase transitions in one dimension may be induced by the dynamics of a single site. As an example we consider a one-dimensional model of diffusing particles, where a single site at the boundary evolves…

Statistical Mechanics · Physics 2008-04-23 A. C. Barato , H. Hinrichsen

Non-relativistic anyons in 1D possess generalized exchange statistics in which the exchange of two identical anyons generates a non-local phase that is governed by the spatial ordering of the particles and the statistical parameter…

Quantum Gases · Physics 2025-05-26 Raúl Hidalgo-Sacoto , Thomas Busch , D. Blume

Topological order has proven a useful concept to describe quantum phase transitions which are not captured by the Ginzburg-Landau type of symmetry-breaking order. However, lacking a local order parameter, topological order is hard to…

Quantum Gases · Physics 2014-03-25 Tobias Graß , Bruno Juliá-Díaz , Maciej Lewenstein
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