arXiv 0801.46202008-01-30cond-mat.otherquant-ph

Comment on "Anyonic braiding in optical lattices"

J. Vidal, S. Dusuel, K. P. Schmidt

备注：: 1 page

英文摘要：

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).

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

Reply to the Comment on "Anyonic Braiding in Optical Lattices"

This is the reply to the comment arXiv:0801.4620 by Vidal, Dusuel, and Schmidt.

2008-01-31cond-mat.other

Anyonic Braiding in Optical Lattices

Topological quantum states of matter, both Abelian and non-Abelian, are characterized by excitations whose wavefunctions undergo non-trivial statistical transformations as one excitation is moved (braided) around another. Topological quantum computation proposes to use the topological protection and the braiding statistics of a non-Abelian topological state to perform quantum computation. The enormous technological prospect of topological quantum computation provides new motivation for experimentally observing a topological state. Here we explicitly work out a realistic experimental scheme to …

2007-11-27cond-mat.othercond-mat.softquant-ph

Explicit demonstration of nonabelian anyon, braiding matrix and fusion rules in the Kitaev-type spin honeycomb lattice models

The exact solubility of the Kitaev-type spin honeycomb lattice model was proved by means of a Majorana fermion representation or a Jordan-Wigner transformation while the explicit form of the anyon in terms of Pauli matrices became not transparent. The nonabelian statistics of anyons and the fusion rules can only be expressed in indirect ways to Pauli matrices. We convert the ground state and anyonic excitations back to the forms of Pauli matrices and explicitly demonstrate the nonabelian anyonic statistics as well as the fusion rules. These results may instruct the experimental realization of …

2008-04-07cond-mat.othercond-mat.stat-mech

Comment on ``Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases"

We comment on the work of Fischer, Phys. Rev. Lett. 93, 160403 (2004). Contrary to the claim in the letter, we argue that the anyonic excitation statistics does not play any dynamical role in stabilizing attractive bose gases under rapid rotation in a fractional quantum Hall state. We also point out that the assertion of obtaining exact solutions of the self-dual equation that saturates the Bogomol'nyi bound is invalid for non-zero external field.

2005-04-19cond-mat.otherhep-th