Entanglement and quantum state geometry of a spin system with all-range Ising-type interaction

被引：13
|
作者：
Kuzmak, A. R. [1 ]
机构：
[1] Ivan Franko Natl Univ Lviv, Dept Theoret Phys, 12 Drahomanov St, UA-79005 Lvov, Ukraine
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2018年 / 51卷 / 17期
关键词：
the entanglement; the Fubini-Study metric; the quantum state manifold; TRAPPED IONS; COMPUTATION; INEQUALITIES; CONNECTIONS; HUNDREDS; SILICON; PHASE;
D O I：
10.1088/1751-8121/aab6f8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The evolution of an N spin-1/2 system with all-range Ising-type interaction is considered. For this system we study the entanglement of one spin with the rest spins. It is shown that the entanglement depends on the number of spins and the initial state. Also, the geometry of the manifold, which contains entangled states, is obtained. For this case we find the dependence of entanglement on the scalar curvature of the manifold and examine it for different numbers of spins in the system. Finally we show that the transverse magnetic field leads to a change in the manifold topology.
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页数：11
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