Measuring Entanglement Growth in Quench Dynamics of Bosons in an Optical Lattice

2012/05/07 by A. J. Daley, Andrew J. Daley, Hannes Pichler +4 · 16 citations
Computer Science · Physics and Astronomy · #Bose–Hubbard model #Boson #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Hubbard model #Lattice (music) #Measure (data warehouse) #Mott insulator #Neural Networks and Reservoir Computing #Optical lattice #Parity (physics) #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #Superconductivity #Superfluidity #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physrevlett.109.020505

published as Phys. Rev. Lett. 109, 020505 (2012) · 4+ pages plus supplementary material

arxiv created 2012/05/07 · openalex publication_date 2012/07/12 · arxiv updated 2012/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 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.

Citations

• Colloquium: Area laws for the entanglement entropy
• Single Atom Transistor in a 1D Optical Lattice
• Concurrence of Mixed Multipartite Quantum States
• Efficient Simulation of One-Dimensional Quantum Many-Body Systems
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard model
• Is the efficiency of classical simulations of quantum dynamics related to integrability?
• Dynamics of Loschmidt echoes and fidelity decay
• Defect-Suppressed Atomic Crystals in an Optical Lattice
• Short-time versus long-time dynamics of entanglement in quantum lattice models
• Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
• Entanglement in many-body systems
• Direct Measurement of Nonlinear Properties of Bipartite Quantum States
• Entanglement detection

Cited by

• Random Projections for Multi-Copy Quantum Algorithms
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model
• Operator content of entanglement spectra in the transverse field Ising chain after global quenches
• Single-site-resolved measurement of the current statistics in optical lattices
• Towards a generalized hydrodynamics description of Rényi entropies in integrable systems
• Entanglement revivals as a probe of scrambling in finite quantum systems
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Simulating Zeno physics by a quantum quench with superconducting circuits
• Detecting genuine non-Gaussian entanglement
• Topological Transitions from Multipartite Entanglement with Tensor Networks: A Procedure for Sharper and Faster Characterization
• Dynamical topological order parameters far from equilibrium
• Post-measurement bipartite entanglement entropy in conformal field theories
• Geometry-induced entanglement in a mass-imbalanced few-fermion system
• A Complete Set of Invariants for LU-Equivalence of Density Operators
• Entangled cloning of stabilizer codes and free fermions
• Entanglement spreading after a geometric quench in quantum spin chains

Related

• Observable criterion for collective entanglement in Boson-lattice system
• Entanglement detection in optical lattices of bosonic atoms with collective measurements
• Dynamical Bose-Hubbard model for entanglement generation and storing
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• Quenching from superfluid to free bosons in two dimensions: entanglement, symmetries, and quantum Mpemba effect