Measuring Entanglement Growth in Quench Dynamics of Bosons in an Optical Lattice

被引：317

作者：

Daley, A. J. ^{[1
]}

Pichler, H. ^{[1
,2
,3
]}

Schachenmayer, J. ^{[1
,2
,3
]}

Zoller, P. ^{[2
,3
,4
,5
,6
]}

机构：

[1] Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA

[2] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria

[3] Austrian Acad Sci, Inst Quantum Opt & Quantum Informat, A-6020 Innsbruck, Austria

[4] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA

[5] Univ Maryland, Gaithersburg, MD 20899 USA

[6] Natl Inst Stand & Technol, Joint Quantum Inst, Gaithersburg, MD 20899 USA

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 109卷 / 02期

基金：

奥地利科学基金会;

关键词：

ATOMIC MOTT INSULATOR; QUANTUM SIMULATIONS; SYSTEMS; ENTROPY; STATES; CHAOS; GAS;

D O I：

10.1103/PhysRevLett.109.020505

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss a scheme to measure the many-body entanglement growth during quench dynamics with bosonic atoms in optical lattices. By making use of a 1D or 2D setup in which two copies of the same state are prepared, we show how arbitrary order Renyi entropies can be extracted by using tunnel coupling between the copies and measurement of the parity of on-site occupation numbers, as has been performed in recent experiments. We illustrate these ideas for a superfluid-Mott insulator quench in the Bose-Hubbard model, and also for hard-core bosons, and show that the scheme is robust against imperfections in the measurements.

引用

页数：5