Measuring entanglement entropy in a quantum many-body system
By Rajibul Islam, R. Ma, P. Preiss, M. Tai, A. Lukin, M. Rispoli, M. Greiner. Nature, 2015
1,115 citations recorded by the source corpus.
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, Rényi 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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/8834a1349a8ec109cba234d22bd3e1f93853158b
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Citations in the corpus
- Inverse statistical problems: from the inverse Ising problem to data science (2017, background): “This is of particular interest in phases of matter where the order parameter is either unknown or hard to compute (such as the so-called entanglement entropy [104, 125]).”
- Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases (2016, positive): “Entanglement entropies, in particular, are currently in the limelight, as they have become experimentally measurable both in- [22] and out-of-equilibrium [23], opening the route to a direct comparison between experimental data and many exact analytical results obtained by CFT.”
- Entanglement certification from theory to experiment (2018, methodology): “Some of these methods have been employed for a first experimental demonstration (and quantification) of entanglement in a bosonic optical lattice [296], while other recent experiments [298– 300] demonstrate entanglement between two spins in a (super)lattice.”
- Entanglement in a fermion chain under continuous monitoring (2018, background): “Thanks to recent experimental progress, these fundamental issues can now be addressed in a laboratory [13–15].”
- Colloquium : Many-body localization, thermalization, and entanglement (2018, background): “It would be also interesting to design experiments to measure the evolution of the entanglement entropy (Islam et al., 2015), or to monitor the evolution of fluctuations in the system as an alternative measure of many-body entanglement (Serbyn et al., 2014b).”
- Symmetry resolved entanglement in free fermionic systems (2019, background): “Nowadays a lot has been understood in the context of low-dimensional many body quantum systems, both from the theoretical side [1–4] and, more recently, also experimentally [5–8].”
- A quantum processor based on coherent transport of entangled atom arrays (2021, neutral): “ferent states due to entanglement with the rest of the many-body system (and entanglement with the environment) [10, 11].”
- Quantum Entanglement in Neural Network States (2017, background): “Notably, experimental measurements of the second-order R´enyi entropy have been achieved in recent cold-atom experiments in optical lattices [76, 77].”