Regensburg 2022 – scientific programme

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QI: Fachverband Quanteninformation

QI 6: Quantum Information: Concepts and Methods

QI 6.11: Talk

Tuesday, September 6, 2022, 12:30–12:45, H9

Universal ground state entanglement entropy in strongly biased bipartite systems — •Ohad Shpielberg — University of Haifa, Haifa, Israel

Consider the AB bipartite system with a single conserved quantity, say a particle number. The particle bias R is defined as the expectation of the particle number in subsystem A over the expectation in subsystem B. At the limit of large R, the ground state entanglement entropy is shown to universally scale like logR / R, independent of the Hamiltonian details. A 1/√R universal power law is obtained for multiple conserved quantities. Moreover, the analysis shows a similar universal structure of the Rényi entropy.

This universal behavior could be exploited to optimize entanglement-assisted control over large many body systems, using systems with a small degree of freedom. Alternatively, one can use the different scaling of the entanglement entropy to detect hidden conserved quantities.

Part of the announced results are available at Phys. Rev. A 105, 042420 (2022).