任意子：修订间差异

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第27行： 第27行：
| bibcode = 1977NCimB..37....1L
| bibcode = 1977NCimB..37....1L
| access-date = 2018-11-25
| access-date = 2018-11-25
|
|
|
}}</ref>使用上面两粒子系统的例子其公式为：
}}</ref>使用上面两粒子系统的例子其公式为：
:<math>\left|\psi_1\psi_2\right\rangle = e^{i\,\theta}\left|\psi_2\psi_1\right\rangle</math>
:<math>\left|\psi_1\psi_2\right\rangle = e^{i\,\theta}\left|\psi_2\psi_1\right\rangle</math>
第47行： 第44行：
| bibcode = 1982PhRvL..49..957W
| bibcode = 1982PhRvL..49..957W
| access-date = 2018-11-25
| access-date = 2018-11-25
|
|
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}}</ref>，因为这些粒子在进行粒子交换的情况下可以有任意相。
}}</ref>，因为这些粒子在进行粒子交换的情况下可以有任意相。


第87行： 第81行：
|author2=Alexei Kitaev |author3=Michael Larsen |author4=Zhenghan Wang
|author2=Alexei Kitaev |author3=Michael Larsen |author4=Zhenghan Wang
| date = 2002-10-20
| date = 2002-10-20
| doi = 10.1090/S0273-0979-02-00964-3| arxiv = quant-ph/0101025}}</ref><ref>{{cite journal |last=Monroe |first=Don |url=https://www.newscientist.com/channel/fundamentals/mg20026761.700-anyons-the-breakthrough-quantum-computing-needs.html |title=Anyons: The breakthrough quantum computing needs? |work=[[New Scientist]] |issue=2676 |date=1 October 2008 |journal= |access-date=2018-11-25 |||}}</ref>。
| doi = 10.1090/S0273-0979-02-00964-3| arxiv = quant-ph/0101025}}</ref><ref>{{cite journal |last=Monroe |first=Don |url=https://www.newscientist.com/channel/fundamentals/mg20026761.700-anyons-the-breakthrough-quantum-computing-needs.html |title=Anyons: The breakthrough quantum computing needs? |work=[[New Scientist]] |issue=2676 |date=1 October 2008 |journal= |access-date=2018-11-25 }}</ref>。


== 非阿贝尔任意子 ==
== 非阿贝尔任意子 ==
[[文小刚]]发现了[[分数量子霍尔效应]]自然地给出非阿贝尔任意子。<ref>{{Cite journal|title=Nonabelions in the fractional quantum hall effect|url=https://linkinghub.elsevier.com/retrieve/pii/055032139190407O|last=Moore|first=Gregory|last2=Read|first2=Nicholas|date=1991-08|journal=Nuclear Physics B|issue=2-3|doi=10.1016/0550-3213(91)90407-O|volume=360|pages=362–396|language=en|access-date=2020-01-30|||}}</ref><ref>{{Cite journal|title=Non-Abelian statistics in the fractional quantum Hall states|url=https://link.aps.org/doi/10.1103/PhysRevLett.66.802|last=Wen|first=X. G.|date=1991-02-11|journal=Physical Review Letters|issue=6|doi=10.1103/PhysRevLett.66.802|volume=66|pages=802–805|language=en|issn=0031-9007}}</ref>[[阿列克谢·基塔耶夫]]表示了我们可以用非阿贝尔任意子来创造[[拓扑量子计算机]]。<ref>{{Cite journal|title=Non-Abelian states of matter|url=http://www.nature.com/articles/nature08915|last=Stern|first=Ady|date=2010-03|journal=Nature|issue=7286|doi=10.1038/nature08915|volume=464|pages=187–193|language=en|issn=0028-0836}}</ref><ref>{{Cite journal|title=Braiding of Abelian and Non-Abelian Anyons in the Fractional Quantum Hall Effect|url=http://arxiv.org/abs/1112.3400|last=An|first=Sanghun|last2=Jiang|first2=P.|date=2011-12-14|journal=arXiv:1112.3400 [cond-mat]|last3=Choi|first3=H.|last4=Kang|first4=W.|last5=Simon|first5=S. H.|last6=Pfeiffer|first6=L. N.|last7=West|first7=K. W.|last8=Baldwin|first8=K. W.|access-date=2020-01-30|||}}</ref><ref>{{Cite journal|title=Magnetic field-tuned Aharonov-Bohm oscillations and evidence for non-Abelian anyons at v=5/2|url=http://arxiv.org/abs/1301.2639|last=Willett|first=R. L.|last2=Nayak|first2=C.|date=2013-10-28|journal=Physical Review Letters|issue=18|doi=10.1103/PhysRevLett.111.186401|volume=111|pages=186401|issn=0031-9007|last3=Shtengel|first3=K.|last4=Pfeiffer|first4=L. N.|last5=West|first5=K. W.|access-date=2020-01-30|||}}</ref><ref>{{Cite journal|title=Enhanced bulk-edge Coulomb coupling in Fractional Fabry-Perot interferometers|url=http://arxiv.org/abs/1411.4654|last=von Keyserlingk|first=C. W.|last2=Simon|first2=S. H.|date=2015-09-18|journal=Physical Review Letters|issue=12|doi=10.1103/PhysRevLett.115.126807|volume=115|pages=126807|issn=0031-9007|last3=Rosenow|first3=Bernd}}</ref>
[[文小刚]]发现了[[分数量子霍尔效应]]自然地给出非阿贝尔任意子。<ref>{{Cite journal|title=Nonabelions in the fractional quantum hall effect|url=https://linkinghub.elsevier.com/retrieve/pii/055032139190407O|last=Moore|first=Gregory|last2=Read|first2=Nicholas|date=1991-08|journal=Nuclear Physics B|issue=2-3|doi=10.1016/0550-3213(91)90407-O|volume=360|pages=362–396|language=en|access-date=2020-01-30}}</ref><ref>{{Cite journal|title=Non-Abelian statistics in the fractional quantum Hall states|url=https://link.aps.org/doi/10.1103/PhysRevLett.66.802|last=Wen|first=X. G.|date=1991-02-11|journal=Physical Review Letters|issue=6|doi=10.1103/PhysRevLett.66.802|volume=66|pages=802–805|language=en|issn=0031-9007}}</ref>[[阿列克谢·基塔耶夫]]表示了我们可以用非阿贝尔任意子来创造[[拓扑量子计算机]]。<ref>{{Cite journal|title=Non-Abelian states of matter|url=http://www.nature.com/articles/nature08915|last=Stern|first=Ady|date=2010-03|journal=Nature|issue=7286|doi=10.1038/nature08915|volume=464|pages=187–193|language=en|issn=0028-0836}}</ref><ref>{{Cite journal|title=Braiding of Abelian and Non-Abelian Anyons in the Fractional Quantum Hall Effect|url=http://arxiv.org/abs/1112.3400|last=An|first=Sanghun|last2=Jiang|first2=P.|date=2011-12-14|journal=arXiv:1112.3400 [cond-mat]|last3=Choi|first3=H.|last4=Kang|first4=W.|last5=Simon|first5=S. H.|last6=Pfeiffer|first6=L. N.|last7=West|first7=K. W.|last8=Baldwin|first8=K. W.|access-date=2020-01-30}}</ref><ref>{{Cite journal|title=Magnetic field-tuned Aharonov-Bohm oscillations and evidence for non-Abelian anyons at v=5/2|url=http://arxiv.org/abs/1301.2639|last=Willett|first=R. L.|last2=Nayak|first2=C.|date=2013-10-28|journal=Physical Review Letters|issue=18|doi=10.1103/PhysRevLett.111.186401|volume=111|pages=186401|issn=0031-9007|last3=Shtengel|first3=K.|last4=Pfeiffer|first4=L. N.|last5=West|first5=K. W.|access-date=2020-01-30}}</ref><ref>{{Cite journal|title=Enhanced bulk-edge Coulomb coupling in Fractional Fabry-Perot interferometers|url=http://arxiv.org/abs/1411.4654|last=von Keyserlingk|first=C. W.|last2=Simon|first2=S. H.|date=2015-09-18|journal=Physical Review Letters|issue=12|doi=10.1103/PhysRevLett.115.126807|volume=115|pages=126807|issn=0031-9007|last3=Rosenow|first3=Bernd}}</ref>


== 参见 ==
== 参见 ==
取自“https://www.qiuwenbaike.cn/wiki/任意子”