Entanglement entropy and computational complexity of the Anderson impurity model out of equilibrium II: driven dynamics

Abstract

We study the growth of entanglement entropy and bond dimension with time in density matrix renormalization group simulations of the periodically driven single-impurity Anderson model. The growth of entanglement entropy is found to be related to the ordering of the bath orbitals in the matrix product states of the bath and to the relation of the driving period $T$ to the convergence radius of the Floquet-Magnus expansion. Reordering the bath orbitals in the matrix product state by their Floquet quasi-energy is found to reduce the exponential growth rate of the computation time at intermediate driving periods, suggesting new ways to optimize matrix product state calculations of driven systems.

arXiv comment8 pages, 11 figures

References in corpus (17)

• The density-matrix renormalization group
• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Real time evolution using the density matrix renormalization group
• The Magnus expansion and some of its applications
• Long-time behavior of periodically driven isolated interacting lattice systems
• Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
• Taming the dynamical sign problem in real-time evolution of quantum many-body problems
• Time-dependent density-matrix renormalization group: A systematic method for the study of quantum many-body systems out-of-equilibrium
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Solving nonequilibrium dynamical mean-field theory using matrix product states
• Non-equilibrium dynamics of the Anderson impurity model
• Replica resummation of the Baker-Campbell-Hausdorff series
• Hamiltonian-based impurity solver for nonequilibrium dynamical mean-field theory
• Periodically Driven Array of Single Rydberg Atoms
• Multiconfiguration time-dependent Hartree impurity solver for nonequilibrium dynamical mean-field theory
• Efficiency of quantum Monte Carlo impurity solvers for dynamical mean-field theory
• Entanglement entropy and computational complexity of the Anderson impurity model out of equilibrium I: quench dynamics

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