The conformal spectrum of non-Abelian anyons

被引：8

作者：

Doroud, Nima ^{[1
]}

Tong, David ^{[2
]}

Turner, Carl ^{[2
]}

机构：

[1] Int Sch Adv Studies SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

来源：

SCIPOST PHYSICS | 2018年 / 4卷 / 04期

基金：

欧洲研究理事会;

关键词：

AHARONOV-BOHM SCATTERING; CHERN-SIMONS THEORY; CONTACT INTERACTIONS; QUANTUM-MECHANICS; FRACTIONAL-SPIN; INVARIANCE; SYMMETRY; SYSTEMS;

D O I：

10.21468/SciPostPhys.4.4.022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the spectrum of multiple non-Abelian anyons in a harmonic trap. The system is described by Chern-Simons theory, coupled to either bosonic or fermionic nonrelativistic matter, and has an SO (2, 1) conformal invariance. We describe a number of special properties of the spectrum, focussing on a class of protected states whose energies are dictated by their angular momentum. We show that the angular momentum of a bound state of non-Abelian anyons is determined by the quadratic Casimirs of their constituents.

引用

页数：23

共 50 条

[1] Entanglement spectrum of non-Abelian anyons
吴英海
[J]. Chinese Physics B, 2022, (03) : 573 - 579
[2] Entanglement spectrum of non-Abelian anyons
Wu, Ying-Hai
[J]. CHINESE PHYSICS B, 2022, 31 (03)
[3] Interferometry of non-Abelian anyons
Bonderson, Parsa
Shtengel, Kirill
Slingerland, J. K.
[J]. ANNALS OF PHYSICS, 2008, 323 (11) : 2709 - 2755
[4] Quantum Walks with Non-Abelian Anyons
Lehman, Lauri
Zatloukal, Vaclav
Brennen, Gavin K.
Pachos, Jiannis K.
Wang, Zhenghan
[J]. PHYSICAL REVIEW LETTERS, 2011, 106 (23)
[5] Virial coefficients of non-abelian anyons
Polychronakos, AP
[J]. PHYSICAL REVIEW LETTERS, 2000, 84 (06) : 1268 - 1271
[6] Interferometric signature of non-Abelian anyons
Bishara, Waheb
Bonderson, Parsa
Nayak, Chetan
Shtengel, Kirill
Slingerland, J. K.
[J]. PHYSICAL REVIEW B, 2009, 80 (15):
[7] Adiabatic Cooling with Non-Abelian Anyons
Gervais, G.
Yang, Kun
[J]. PHYSICAL REVIEW LETTERS, 2010, 105 (08)
[8] Non-Abelian anyons with Rydberg atoms
Bauer, Nora M.
Kokkas, Elias
Ale, Victor
Siopsis, George
[J]. PHYSICAL REVIEW A, 2023, 107 (06)
[9] Non-locality of non-Abelian anyons
Brennen, G. K.
Iblisdir, S.
Pachos, J. K.
Slingerland, J. K.
[J]. NEW JOURNAL OF PHYSICS, 2009, 11
[10] Active error correction for Abelian and non-Abelian anyons
Wootton, James R.
Hutter, Adrian
[J]. PHYSICAL REVIEW A, 2016, 93 (02)

← 1 2 3 4 5 →