检索结果-南通市图书馆

Entangled multi-knot lattice model of anyon current

Chinese Physics B 2019年第4期28卷 76-107页

作者： Tieyan Si Physics Department School of Sciences Key Laboratory of Microsystems and Microstructures Manufacturing-Ministry of EducationHarbin Institute of Technology

We proposed an entangled multi-knot lattice model to explore the exotic statistics of anyons. Long-range coupling interaction is a fundamental character of this knot lattice model. The short-range coupling models, such as the Ising model,Hamiltonian model of quantum Hall effect, fermion pairing model, Kitaev honeycomb lattice model, and so on, are the short-range coupling cases of this knot lattice model. The long-range coupling knot lattice model bears Abelian and nonAbelian anyons, and shows integral and fractional filling states like the quantum Hall system. The fusion rules of anyons are explicitly demonstrated by braiding crossing states. The eigenstates of quantum models can be represented by a multilayer link lattice pattern whose topology is characterized by the linking number. This topological linking number offers a new quantity to explain and predict physical phenomena in conventional quantum models. For example, a convection flow loop is introduced into the well-known Bardeen–Cooper–Schrieffer fermion pairing model to form a vortex dimer state that offers an explanation of the pseudogap state of unconventional superconductors, and predicts a fractionally filled vortex dimer state. The integrally and fractionally quantized Hall conductance in the conventional quantum Hall system has an exact correspondence with the linking number in this multi-knot lattice model. The real-space knot pattern in the topological insulator model has an equivalent correspondence with the Lissajous knot in momentum space. The quantum phase transition between different quantum states of the quantum spin model is also directly quantified by the change of topological linking number, which revealed the topological character of phase transition. Circularized photons in an optical fiber network are a promising physical implementation of this multi-knot lattice, and provide a different path to topological quantum computation.

关键词： anyon knot lattice linking number quantum Hall effect

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

An anyon Model in a Toric Honeycomb Lattice

引用

Communications in Theoretical Physics 2011年第1期55卷 80-84页

作者：梁龙虞跃 Institute of Theoretical Physics Chinese Academy of Sciences

We study an anyon model in a toric honeycomb lattice. The ground states and the low-lying excitations coincide with those of Kitaev toric code model and then the excitations obey mutual semionic statistics. This model is helpful to understand the toric code of anyons in a more symmetric way. On the other hand, there is a direct relation between this toric honeycomb model and a boundary coupled Ising chain array in a square lattice via Jordan-Wigner transformation. We discuss the equivalence between these two models in the low-lying sector and realize these anyon excitations in a conventional fermion system. The analysis for the ground state degeneracy in the last section can also be thought of as a complementarity of our previous work [Phys. A： Math. Theor. 43 （2010） 105306].

关键词： anyon toric code

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Intermediate symmetric construction of transformation between anyon and Gentile statistics

引用

Communications in Theoretical Physics 2021年第6期73卷 126-130页

作者： Yao Shen Fu-Lin Zhang School of Criminal Investigation People's Public Security University of ChinaBeijing 100038China Department of Physics School of ScienceTianjin UniversityTianjin 300072China

Gentile statistics describes fractional statistical systems in the occupation number *** statistics researches those systems in the winding number *** of them are intermediate statistics between Bose–Einstein and Fermi–Dirac *** second quantization of Gentile statistics shows a lot of *** to the symmetry requirement of the wave function and the property of braiding,we give the general construction of transformation between anyon and Gentile *** other words,we introduce the second quantization form of anyons in an easier *** construction is a correspondence between two fractional statistics and gives a new description of *** relations of second quantization operators,the coherent state and Berry phase are also discussed.

关键词： gentile statistics anyon fractional statistics computational method

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Limiting Case of 1D Delta anyon Model

引用

Communications in Theoretical Physics 2008年第12期50卷 1265-1268页

作者： ZHU Ren-Gui WANG An-Min College of Physics and Electronic Information Anhui Normal University Wuhu 241000 China Department of Modern Physics University of Science and Technology of China Hefei 230026 China

In order to analyze a limiting case of the 1D delta anyon model,the coupling strength of the δ interactionc is modified to become a function of the anyonic parameter κ.A pedagogic derivation of the solution for this modifiedmodel using the method of anyon-boson mapping plus Bethe ansatz is *** limiting case as κ→π andsimultaneously c→0,which was previously neglected,is *** unexpected properties of this limiting case *** BAEs are compared with previous results.

关键词： anyon Bethe ansatz

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Marxism and Political Economy in Education:An Interpretation of Jean anyon's Critical Pedagogy

引用

Journal of Contemporary Educational Research 2020年第2期4卷 28-34页

作者： Zhuoyuan Zhang Institute of Marxist Philosophy Shanxi UniversityTaiyuan 030006Shanxi ProvincesChina

Jean anyon(1941-2013)is a critical pedagogical researcher and social activist in the United *** her life,she devoted herself to taking education as a breakthrough,exposing the ugliness of capitalist countries and promoting the equality of society and *** uses Marxist theory to analyze the relationship between social class and school knowledge,hidden curriculum;education and mainstream ideology;and conflicts and resistances in education,emphasizing the theoretical and practical significance of Marxism in today’s *** order to find the deepest problem of education,Jean anyon demonstrates the relationship between school education and macroeconomic policy from the perspective of political economics;the dialectical relationship between education reform and economic reform;and explains the reasons for education failure by quoting David Harvey’s concept of“deprivation accumulation”.Facing the cruel situation,Jean anyon did not lose confidence,but found the“radical possibility”and put forward the concept of social change centered on education reform.

关键词： Jean anyon Critical Pedagogy Marxism Political Economics

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Some Topological Properties of anyons

引用

Communications in Theoretical Physics 2008年第11期50卷 1155-1158页

作者： CAO Zhen-Bin LIU Yu-Xiao DUAN Yi-Shi Institute of Theoretical Physics Lanzhou University Lanzhou 730000 China

In this paper,starting with the well known U(1)Chern-Simons Lagrangian and the covariant derivative ofa complex scalar matter field,we give a detailed discussion of some topological properties of *** show that the'basic'charge carried by anyons has an inner structure and can be decomposed in terms of the Chern-Simons couplingand the gauge coupling constants of the *** some incorrect results obtained in the literature are revised.

关键词： anyon complex scalar held

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Wave equation for anyons and its exact solutions in external fields

引用

Science China Mathematics 1997年第10期40卷 1103-1109页

作者：吕景发 S.I.Kruglov 赵学庆 Department of Physics Nankai UniversityTianjin 300071China

By using the gauge-invariance,a Klein-Gordon’s type equation for anyons in external fields is *** equation can be solved exactly in a constant electric and magnetic field,as well as in a quantized electromagnetic **... 详细信息

关键词： anyon wave equation exact solutions.

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

A Scheme for Simulation of Quantum Gates by Abelian anyons

引用

Communications in Theoretical Physics 2011年第11期56卷 873-876页

作者：沈尧艾青龙桂鲁 State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics Tsinghua University Tsinghua National Laboratory for Information Science and Technology

anyons can be used to realize quantum computation, because they are two-level systems in two dimensions. In this paper, we propose a scheme to simulate single-qubit gates and CNOT gate using Abelian anyons in the Kitaev model. Two pairs of anyons （six spins） are used to realize single-qubit gates, while ten spins are needed for the CNOT gate. Based on these quantum gates, we show how to realize the Grover algorithm in a two-qubit system.

关键词： fractional statistics anyon quantum gate

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Rotational symmetry of classical orbits, arbitrary quantization of angular momentum and the role of the gauge field in two-dimensional space

引用

Chinese Physics B 2012年第4期21卷 67-73页

作者：辛俊丽梁九卿 Institute of Theoretical Physics Shanxi UniversityTaiyuan 030006China Department of Physics and Electronic Engineering Yuncheng CollegeYuncheng 044000China

We study quantum classical correspondence in terms of the coherent wave functions of a charged particle in two-dimensional central-scalar potentials as well as the gauge field of a magnetic flux in the sense that the probability clouds of wave functions are well localized on classical orbits. For both closed and open classical orbits, the non-integer angular-momentum quantization with the level space of angular momentum being greater or less than h is determined uniquely by the same rotational symmetry of classical orbits and probability clouds of coherent wave functions, which is not necessarily 27r-periodic. The gauge potential of a magnetic flux impenetrable to the particle cannot change the quantization rule but is able to shift the spectrum of canonical angular momentum by a flux-dependent value, which results in a common topological phase for all wave functions in the given model. The well-known quantum mechanical anyon model becomes a special case of the arbitrary quantization, where the classical orbits are 2π-periodic.

关键词： quantum-classical correspondence anyon rotational symmetry arbitrary quantization of angular momentum

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

A Model for the Quantization of the Hall Resistance in the Quantum Hall Effect

引用

Journal of Modern Physics 2010年第3期1卷 158-162页

作者： Paul Bracken 不详

Some aspects of anyon physics are reviewed with the intention of establishing a model for the quantization of the Hall conductance. A single particle Schrödinger model is introduced and coupled with a constraint equation formulated from the anyon picture. The Schrödinger equation-constraint system can be converted to a single nonlinear differential equation and solutions for the model can be produced.

关键词： anyon Hall Resistance Conductance Composite Particles

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：