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We point out some major technical and conceptual mistakes which invalidate the conclusion drawn in "Anyonic braiding in optical lattices" by C. Zhang, V. W. Scarola, S. Tewari, and S. Das Sarma published in PNAS 104, 18415 (2007).

Other Condensed Matter · Physics 2008-02-05 J. Vidal , S. Dusuel , K. P. Schmidt

In the nice recent work [48], S. Wang established uniform log-Sobolev inequalities for mean field particles when the energy is flat convex. In this note we comment how to extend his proof to some semi-convex energies provided the curvature…

Analysis of PDEs · Mathematics 2024-09-27 Pierre Monmarché

This is a technical report, containing all the theorem proofs in paper "On Optimal Monitor Placement for Localizing Node Failures via Network Tomography" by Liang Ma, Ting He, Ananthram Swami, Don Towsley, and Kin K. Leung, published in…

Networking and Internet Architecture · Computer Science 2020-12-18 Liang Ma , Ting He , Ananthram Swami , Don Towsley , Kin K. Leung

We show that the criticism of our paper [Phys. Rev. B 65, 125109 (2002)] by Wang, Millis, and Das Sarma [cond-mat/0206203] is based on a trivial mathematical mistake they have committed.

Strongly Correlated Electrons · Physics 2009-11-07 Yasha Gindikin , V. A. Sablikov

In this comment we show that the approach presented by Foj\'on et al~\cite{Fojon10} is not as accurate as they claim. A straightforward calculation using the models considered buy those authors clearly shows that the spectral method, which…

Quantum Physics · Physics 2018-10-29 Miguel Ahumada-Centeno , Paolo Amore , Francisco M Fernandez

In [JETP Lett. 105(3), 152 (2017)], a clear and comprehensive analysis of the paradoxical results of experiment [Phys. Rev. Lett. 111, 240402 (2013)] was carried out on the basis of the classical wave theory of light, which presupposes the…

Quantum Physics · Physics 2017-06-28 Gennady N. Nikolaev

The calculations of Guang-Wen Ma's recent Letter [Phys.Lett. A239, (1998) 209] contain an easily detectable error which makes his conclusions irrelevant.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lajos Diosi

The paper submitted has been withdrawn for revision. Example 1 is incorrect; the map is not a local homeomorphism.

Operator Algebras · Mathematics 2010-08-16 Justin R. Peters

In dark channel based methods, local constant assumption is widely used to make the algorithms invertible. It inevitably introduces defects since the assumption can not perfectly avoid depth discontinuities and meanwhile cover enough…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Zhu Mingzhu , He Bingwei , Liu Jiantao

Wu, Lou, Lai and Chang proposed a multi-exponentiation algorithm using binary complements and the non-adjacent form. The purpose of this paper is to show that neither the analysis of the algorithm given by its original proposers nor that by…

Combinatorics · Mathematics 2011-08-31 Clemens Heuberger , Helmut Prodinger

The question raised by [Bastin and Martin 2003 J. Phys. B: At. Mol. Opt. Phys. 36, 4201] is examined and used to explain in more detail a key point of our calculations. They have sought to rebut criticisms raised by us of certain techniques…

Quantum Physics · Physics 2009-11-10 M. Abdel-Aty , A. -S. F. Obada

Two recent articles by Norman H. March that contain misleading statements concerning 3D Ising models, partly based on earlier erroneous work of Z.D. Zhang, are addressed.

Statistical Mechanics · Physics 2016-03-23 Michael E. Fisher , Jacques H. H. Perk

This article demonstrates that the recent proof of the invariant subspace problem, as presented by Khalil et al., is incorrect.

Functional Analysis · Mathematics 2025-04-01 Ahmed Ghatasheh

In a recent paper [Phys. Rev. Lett. 125, 043201 (2020)] (Ref.1) Liao et al. propose a theory of the interferometric photoemission delay based on the concepts of the photoelectron phase and photoelectron effective mass. The present comment…

Materials Science · Physics 2021-04-26 E. E. Krasovskii , R. O. Kuzian

I comment on Zaccone, Phys. Rev. Lett. {\bf 128}, 028002 (2022) highlighting a flaw in the derivation that led to a spurious divergent factor. This renders the derivation of the random close packing density invalid.

Soft Condensed Matter · Physics 2022-07-19 W. Till Kranz

In their study of superluminal propagation, rotary drag and surface polaritons [Phys. Rev. A 96, 013848 and 049906(E) (2017)], Khan et al. consider a four-level atomic arrangement with transitions in the optical domain. In fact, the values…

Optics · Physics 2019-05-27 Bruno Macke , Bernard Ségard

We rigorously compute the propagation and scattering of microwaves by regular and defected arrays of dielectric cylinders in a uniform medium. Comparison with the previous experimental results is made, yielding agreements in the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bikash C. Gupta , Zhen Ye

The comment by Lundeen et al. contains two criticisms of our proposal. While we agree that the state-preparation procedure could be replaced by a simpler setup as proposed by the authors of the comment, we do not agree with the authors on…

Quantum Physics · Physics 2009-11-11 S. E. Ahnert , M. C. Payne

In a recent paper ``The capacity of the Hopfield model, J. Feng and B. Tirozzi claim to prove rigorous results on the storage capacity that are in conflict with the predictions of the replica approach. We show that their results are in…

Disordered Systems and Neural Networks · Physics 2009-10-30 Anton Bovier
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