Measuring entanglement growth in quench dynamics of bosons in an optical lattice

Abstract

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 Renyi entropies can be extracted 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.

4+ pages plus supplementary material

References in corpus (18)

• Thermalization and its mechanism for generic isolated quantum systems
• Entanglement detection
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Real time evolution using the density matrix renormalization group
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Single-Spin Addressing in an Atomic Mott Insulator
• Dynamics of Loschmidt echoes and fidelity decay
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Breakdown of thermalization in finite one-dimensional systems
• Entropy scaling and simulability by Matrix Product States
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Measuring entanglement entropy of a generic many-body system with a quantum switch
• Is efficiency of classical simulations of quantum dynamics related to integrability?
• On entropy growth and the hardness of simulating time evolution
• Measuring Multipartite Concurrence with a Single Factorizable Observable
• Threshold for Chaos and Thermalization in One-Dimensional Mean-Field Bose-Hubbard Model
• Entanglement measures as physical observables

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