Disentangling Sources of Quantum Entanglement in Quench Dynamics

Abstract

Quantum entanglement may have various origins ranging from solely interaction-driven quantum correlations to single-particle effects. Here, we explore the dependence of entanglement on time-dependent single-particle basis transformations in fermionic quantum many-body systems, thus aiming at isolating single-particle sources of entanglement growth in quench dynamics. Using exact diagonalization methods, for paradigmatic non-integrable models we compare to the standard real space cut various physically motivated bipartitions. Moreover, we search for a minimal entanglement basis using local optimization algorithms, which at short to intermediate post-quench times yields a significant reduction of entanglement beyond a dynamical Hartree-Fock solution. In the long-time limit, we identify an asymptotic universality of entanglement for weakly interacting systems, as well as a cross-over from dominant real-space to momentum-space entanglement in Hubbard-models undergoing an interaction quench. Finally, we discuss the relevance of our findings for the development of tensor network based algorithms for quantum dynamics.

arXiv commentUpdated version with minor modifications

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Cited by in corpus (9)

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• Parallel time-dependent variational principle algorithm for matrix product states
• Tensor network representations of parton wave functions
• Efficient tensor network representation for Gutzwiller projected states of paired fermions
• Efficient Large-Scale Many-Body Quantum Dynamics via Local-Information Time Evolution
• Quasiclassical approach to quantum quench dynamics in the presence of an excited-state quantum phase transition
• Simulation of adiabatic quantum computing for molecular ground states
• Converting long-range entanglement into mixture: tensor-network approach to local equilibration
• Equivalence of Spatial and Particle Entanglement Growth After a Quantum Quench