Published on *QUROPE* (http://qurope.eu)

Fri, 2013-05-10 15:38 - Mattia Giardini [1]

Date:

2013-02-05

Reference:

arXiv:1302.1187v1

URL:

We show how to measure the order-two Renyi entropy of many-body states of spinful fermionic atoms in an optical lattice in equilibrium and non-equilibrium situations. The proposed scheme relies on the possibility to produce and couple two copies of the state under investigation, and to measure the occupation number in a site- and spin-resolved manner, e.g. with a quantum gas microscope. Such a protocol opens the possibility to measure entanglement and test a number of theoretical predictions, such as area laws and their corrections. As an illustration we discuss the interplay between thermal and entanglement entropy for a one dimensional Fermi-Hubbard model at finite temperature, and its possible measurement in an experiment using the present scheme.

**Links:**

[1] http://qurope.eu/users/giardini

[2] http://arxiv.org/abs/1302.1187

[3] http://qurope.eu/category/projects/ips/aqute

[4] http://qurope.eu/category/qics/00-quantum-information-science/03-entanglement/0320w-entanglement-detectionwitnesses

[5] http://qurope.eu/category/attribute/result

[6] http://qurope.eu/category/qics/00-quantum-information-science/01-physics-and-information-science/0150e-entropy-and-ot

[7] http://qurope.eu/category/qics/00-quantum-information-science/04-entanglement-many-body-systems/0480d-entanglement-dy

[8] http://qurope.eu/category/qics/10-quantum-computation/15-implementations-quantum-optics/1520ol-optical-lattices