Measuring Entanglement Growth in Quench Dynamics of Bosons in an Optical Lattice
Andrew J. DaleyDepartment of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USAHannes PichlerDepartment of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USAJohannes SchachenmayerDepartment of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USAP. ZollerDepartment of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
2012en
ABI
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We discuss a scheme to measure the many-body entanglement growth during quench dynamics with bosonic atoms in optical lattices. By making use of a 1D or 2D setup in which two copies of the same state are prepared, we show how arbitrary order Rényi entropies can be extracted by using tunnel coupling between the copies and measurement of the parity of on-site occupation numbers, as has been performed in recent experiments. We illustrate these ideas for a superfluid-Mott insulator quench in the Bose-Hubbard model, and also for hard-core bosons, and show that the scheme is robust against imperfections in the measurements.
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