Measuring entanglement entropy in a quantum many-body system

被引：889

作者：

Islam, Rajibul ^{[1
]}

Ma, Ruichao ^{[1
]}

Preiss, Philipp M. ^{[1
]}

Tai, M. Eric ^{[1
]}

Lukin, Alexander ^{[1
]}

Rispoli, Matthew ^{[1
]}

Greiner, Markus ^{[1
]}

机构：

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

来源：

NATURE | 2015年 / 528卷 / 7580期

基金：

美国国家科学基金会;

关键词：

TRAPPED IONS; STATES; INTERFERENCE; SIMULATIONS;

D O I：

10.1038/nature15750

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Entanglement is one of the most intriguing features of quantum mechanics. It describes non-local correlations between quantum objects, and is at the heart of quantum information sciences. Entanglement is now being studied in diverse fields ranging from condensed matter to quantum gravity. However, measuring entanglement remains a challenge. This is especially so in systems of interacting delocalized particles, for which a direct experimental measurement of spatial entanglement has been elusive. Here, we measure entanglement in such a system of itinerant particles using quantum interference of many-body twins. Making use of our single-site-resolved control of ultracold bosonic atoms in optical lattices, we prepare two identical copies of a many-body state and interfere them. This enables us to directly measure quantum purity, Renyi entanglement entropy, and mutual information. These experiments pave the way for using entanglement to characterize quantum phases and dynamics of strongly correlated many-body systems.

引用

页码：77 / 83

页数：7

共 51 条

[21] MEASUREMENT OF SUBPICOSECOND TIME INTERVALS BETWEEN 2 PHOTONS BY INTERFERENCE [J].