Localization for Random Block Operators Related to the XY Spin Chain

Chapman Jacob; Stolz Guenter

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Localization for Random Block Operators Related to the XY Spin Chain

机译：与XY自旋链相关的随机块算子的本地化

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We study a class of random block operators which appear as effective one-particle Hamiltonians for the anisotropic XY quantum spin chain in an exterior magnetic field given by an array of i.i.d. random variables. For arbitrary non-trivial single-site distribution of the magnetic field, we prove dynamical localization of these operators at non-zero energy.

机译：我们研究了一类随机块算子，它们在由i.i.d阵列给出的外部磁场中表现为各向异性XY量子自旋链的有效单粒子哈密顿量。随机变量。对于磁场的任意非平凡单点分布，我们证明了这些算符在非零能量下的动态定位。

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《Annales Henri Poincare》 |2015年第2期|共31页
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Chapman Jacob; Stolz Guenter;
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正文语种 eng
中图分类理论物理学;
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专利

1. Localization for Random Block Operators Related to the XY Spin Chain [J] . Chapman Jacob, Stolz Guenter Annales Henri Poincare . 2015,第2期

机译：与XY自旋链相关的随机块算子的本地化
2. Efficient simulation of unitary operators by combining two numerical algorithms: An NMR simulation of the mirror-inversion propagator of an XY spin chain [J] . K. Rama Koteswara Rao, T. S. Mahesh, Anil Kumar Physical Review, A. Atomic, molecular, and optical physics . 2014,第1aPta1期

机译：结合两个数值算法，对operators算子进行有效的仿真：XY自旋链的镜面反转传播器的NMR仿真
3. Operator space entanglement entropy in XY spin chains [J] . Iztok Pizorn, Tomaz Prosen Physical review . 2009,第18期

机译：XY自旋链中的算子空间纠缠熵
4. Thermal entanglement entropy signature of spin-Peierls transition in dimerized isotropic XY chain with multi-spin interactions [C] . Hailin Huang, Lin.Jie Ding, Zhaoyu Sun International Conference on Energy Materials and Material Application . 2014

机译：具有多自旋相互作用的二聚在各向同性XY链中旋转PEIERLS过渡的热缠结熵签名
5. LOCAL MAGNETIZATION IN THE IMPURE SPIN 1/2 ANISOTROPIC ISING-HEISENBERG CHAINS (XY, HARTREE-FOCK, LDS). [D] . GILDENBLAT, GENNADY. 1984

机译：不纯的自旋1/2各向异性伊辛-海森堡链（XY，HARTREE-FOCK，LDS）中的局部磁化。
6. A Polyurethane Surface Modifier: Contrasting Amphiphilic and Contraphilic Surfaces Driven by block and random Soft Blocks having Trifluoroethoxymethyl and PEG Side Chains [O] . Wei Zhang, Tomoko Fujiwara, Hűmeyra Taşkent, -1

机译：聚氨酯表面改性剂：对嵌段和随机软嵌段驱动的副亲硅和涉及具有三氟乙氧基甲基和PEG侧链的副作用
7. Localization for random block operators related to the XY spin chain [O] . Jacob Chapman, Günter Stolz 2016

机译：与XY旋转链相关的随机块运算符的本地化
8. Thermodynamical properties of random spin-1/2 XY chain with Dzyaloshinskii-Moriya interaction [R] . Derzhko, O. , Krokhmalskii, T. , Verkholyak, T. 1995

机译：具有Dzyaloshinskii-moriya相互作用的随机自旋-1 / 2 XY链的热力学性质

Localization for Random Block Operators Related to the XY Spin Chain

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