Abstract
We derive experimentally measurable lower bounds for the two-site entanglement of the spin-degrees of freedom of many-body systems with local particle-number fluctuations. Our method aims at enabling the spatially resolved detection of spin-entanglement in Hubbard systems using high-resolution imaging in optical lattices. A possible application is the observation of entanglement generation and spreading during spin impurity dynamics, for which we provide numerical simulations. More generally, the scheme can simplify the entanglement detection in ion chains, Rydberg atoms, or similar atomic systems.
Highlights
The role of entanglement for the quantitative understanding of quantum many-body systems has been the topic of a large number of theoretical studies [1,2,3]
These experiments did not access the spatial dependence of entanglement measures which is crucial for observing some of the elementary properties of entanglement in many-body systems, such as area laws [3] or the dynamical generation and spreading of entanglement [1, 14, 15]
Our goal is to formulate a detectable lower bound for the entanglement contained in the spin-1/2 sector quantified by the concurrence C(ρ1A,1B), which can eventually be used to bound the entanglement of particles via the previous inequality
Summary
The role of entanglement for the quantitative understanding of quantum many-body systems has been the topic of a large number of theoretical studies [1,2,3]. Recent atomic physics realizations of quantum spin systems, such as neutral atoms in optical lattices [21,22,23,24,25,26,27,28] and trapped ions [29,30,31,32,33,34,35], offer the possibility of a local read-out of spin correlations In ion traps, such local detection of spin correlations and entanglement has been the standard for many years but was mostly used in the context of quantum computing [36].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
