Measurement of the topological Chern number by continuous probing of a qubit subject to a slowly varying Hamiltonian

被引：8

作者：

Xu, Peng ^{[1
,2
]}

Kiilerich, Alexander Holm ^{[2
]}

Blattmann, Ralf ^{[2
]}

Yu, Yang ^{[1
,3
]}

Zhu, Shi-Liang ^{[1
,3
]}

Molmer, Klaus ^{[2
]}

机构：

[1] Nanjing Univ, Sch Phys, Natl Lab Solid State Microstruct, Nanjing 230039, Jiangsu, Peoples R China

[2] Aarhus Univ, Dept Phys & Astron, DK-8000 Aarhus C, Denmark

[3] Univ Sci & Technol China, Synerget Innovat Ctr Quantum Informat & Quantum P, Hefei 230026, Anhui, Peoples R China

来源：

PHYSICAL REVIEW A | 2017年 / 96卷 / 01期

关键词：

QUANTIZED HALL CONDUCTANCE; QUANTUM; PHASE; FEEDBACK; SYSTEMS;

D O I：

10.1103/PhysRevA.96.010101

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We analyze a measurement scheme that allows determination of the Berry curvature and the topological Chern number of a Hamiltonian with parameters exploring a two-dimensional closed manifold. Our method uses continuous monitoring of the gradient of the Hamiltonian with respect to one parameter during a quasiadiabatic quench of the other. Measurement backaction leads to disturbance of the system dynamics, but we show that this can be compensated by a feedback Hamiltonian. As an example, we analyze the implementation with a superconducting qubit subject to time-varying, near-resonant microwave fields, equivalent to a spin-1/2 particle in a magnetic field.

引用

页数：6