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Stacked two dimensional electron systems in transverse magnetic fields exhibit three dimensional fractional quantum Hall phases. We analyze the simplest such phases and find novel bulk properties, e.g., irrational braiding. These phases…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

We show that due to entanglement, quantum fluctuations may differ significantly from statistical fluctuations. We calculate quantum fluctuations of the particle number and of the energy in a sub-volume of a system of bosons in a pure state,…

High Energy Physics - Theory · Physics 2008-11-26 Ram Brustein , Amos Yarom

In two dimensions, the laws of physics permit existence of anyons, particles with fractional statistics which is neither Fermi nor Bose. That is, upon exchange of two such particles, the quantum state of a system acquires a phase which is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , Wei Zhou , V. J. Goldman

The fractional quantum hall effect (FQHE) is a milestone of modern day physics, its disovery paved the way for the study of fractional charges which do not obey abelian physics. However, all FQHE require an external magnetic field in order…

Mesoscale and Nanoscale Physics · Physics 2023-03-07 Christopher Sims

We propose a setup to directly measure the anyonic statistical angle on a single edge of a fractional quantum Hall system, without requiring independent knowledge of non-universal parameters. We consider a Laughlin edge state bent into a…

In this paper, we show two kinds of entangled many body systems with special statistic properties. Firstly, an entangled fermions system with a pairwise entanglement between every two particles in the lowest energy energy level obeys the…

Statistical Mechanics · Physics 2015-07-03 Hua Bi Zeng

We consider resonant dynamics in a dilute atomic gas falling under gravity through a periodically pulsed standing-wave laser field. Our numerical calculations are based on a Monte Carlo method for an incoherent mixture of noninteracting…

Atomic Physics · Physics 2009-05-07 M. Saunders , P. L. Halkyard , S. A. Gardiner , K. J. Challis

Topologically-ordered matter is a novel quantum state of matter observed only in a small number of physical systems, notably two-dimensional electron systems exhibiting fractional quantum Hall effects. It was recently proposed that a simple…

Quantum Gases · Physics 2010-07-19 Nathan Gemelke , Edina Sarajlic , Steven Chu

Fermions and bosons are fundamental realizations of exchange statistics, which governs the probability for two particles being close to each other spatially. Anyons in the fractional quantum Hall effect are an example for exchange…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Bernd Rosenow , Ivan P. Levkivskyi , Bertrand I. Halperin

We show how strongly correlated ultracold bosonic atoms loaded in specific orbital angular momentum states of arrays of cylindrically symmetric potentials can realize a variety of spin-1/2 models of quantum magnetism. We consider explicitly…

Quantum Physics · Physics 2019-08-21 G. Pelegrí , J. Mompart , V. Ahufinger , A. J. Daley

We observe geometric resonance features of composite fermions on the flanks of the even denominator {\nu} = 1/2 fractional quantum Hall state in high-mobility two-dimensional electron and hole systems confined to wide GaAs quantum wells and…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. A. Mueed , D. Kamburov , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

A theory is developed for the paired even-denominator fractional quantum Hall states in the lowest Landau level. We show that electrons bind to quantized vortices to form composite fermions, interacting through an exact instantaneous…

Strongly Correlated Electrons · Physics 2015-05-14 Yuan-Ming Lu , Yue Yu , Ziqiang Wang

We propose fractional spin hall effect (FSHE) by coupling pseudospin states of cold bosonic atoms to optical fields. The present scheme is an extension to interacting bosonic system of the recent work \cite{liu,zhu} on optically induced…

Mesoscale and Nanoscale Physics · Physics 2009-04-03 Xiong-Jun Liu , Xin Liu , L. C. Kwek , C. H. Oh

The statistics of tunneling current in a fractional quantum Hall sample with an antidot is studied in the chiral Luttinger liquid picture of edge states. A comparison between Fano factor and skewness is proposed in order to clearly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Braggio , N. Magnoli , M. Merlo , M. Sassetti

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

We show that bosonic fields may present anyonic behavior when interacting with a fermion in a Jaynes-Cummings-like model. The proposal is accomplished via the interaction of a two-level system with two quantized modes of a harmonic…

Quantum Physics · Physics 2009-11-10 Roberto M. Serra , Angelo Carollo , Marcelo Franca Santos , Vlatko Vedral

Fractional edge states can be viewed as integer edge states of composite fermions. We exploit this to discuss the conductance of the fractional quantized Hall states and the velocity of edge magnetoplasmons.

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Dmitri B. Chklovskii , Bertrand I. Halperin

Viewpoint on Nigel R. Cooper and Jean Dalibard, "Reaching Fractional Quantum Hall States with Optical Flux Lattices", Phys. Rev. Lett. 110, 185301 (2013), and N. Y. Yao, A. V. Gorshkov, C. R. Laumann, A. M. L\"auchli, J. Ye, and M. D.…

Strongly Correlated Electrons · Physics 2013-05-31 Maria Daghofer , Masudul Haque

The composite fermion perspective is used, to study the flux dependence of thermodynamic properties of an annulus in the fractional quantum hall state at odd inverse filling factor. It is shown that $\phi_0$- periodicity is restored, if…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Stefan Kettemann

Quantum simulation is a rapidly advancing tool to gain insight into complex quantum states and their dynamics. Trapped ion systems have pioneered deterministic state preparation and comprehensive state characterization, operating on…

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