Real-time dynamics in the one-dimensional Hubbard model

Abstract

We consider single-particle properties in the one-dimensional repulsive Hubbard model at commensurate fillings in the metallic phase. We determine the real-time evolution of the retarded Green's function by matrix-product state methods. We find that at sufficiently late times the numerical results are in good agreement with predictions of nonlinear Luttinger liquid theory. We argue that combining the two methods provides a way of determining the single-particle spectral function with very high frequency resolution.

10 pages, 6 figures. Minor edits from v1. Version as published

References in corpus (47)

• The density-matrix renormalization group in the age of matrix product states
• Efficient simulation of one-dimensional quantum many-body systems
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Dynamical density-matrix renormalization-group method
• Universal theory of nonlinear Luttinger liquids
• Dynamic response of one-dimensional interacting fermions
• Spectroscopic signatures of spin-charge separation in the quasi-one-dimensional organic conductor TTF-TCNQ
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Spectral function of the one-dimensional Hubbard model away from half filling
• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• The phase diagram of the anisotropic spin-2 XXZ model: an infinite system DMRG study
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Spectral function of spinless fermions on a one-dimensional lattice
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Weakly coupled one-dimensional Mott insulators
• Optical conductivity of the half-filled Hubbard chain
• Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
• Integrable hydrodynamics of Calogero-Sutherland model: Bidirectional Benjamin-Ono equation
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• Dynamical Magnetic Susceptibilities in Cu Benzoate
• Nonuniversal prefactors in correlation functions of 1D quantum liquids
• Dynamics of excitations in a one-dimensional Bose liquid
• From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
• Thermodynamics and excitations of the one-dimensional Hubbard model
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Dynamical correlation functions of one-dimensional superconductors and Peierls and Mott insulators
• Threshold Singularities in the One Dimensional Hubbard Model
• SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model
• Threshold singularities in the dynamic response of gapless integrable models
• The fate of 1D spin-charge separation away from Fermi points
• ``X-Ray Edge'' Singularities in Nanotubes and Quantum Wires with Multiple Subbands
• Finite-Energy Spectral-Weight Distributions of a 1D Correlated Metal
• Charge dynamics in half-filled Hubbard chains with finite on-site interaction
• One-Electron Singular Branch Lines of the Hubbard Chain
• Class of exactly soluble models of one-dimensional spinless fermions and its application to the Tomonaga-Luttinger Hamiltonian with nonlinear dispersion
• Quantum hydrodynamics and nonlinear differential equations for degenerate Fermi gas
• Dynamical Functions of a 1D Correlated Quantum Liquid
• Entanglement Entropies of the quarter filled Hubbard model
• Orbital multicriticality in spin gapped quasi-1D antiferromagnets
• Dynamical density correlation function of 1D Mott insulators in a magnetic field
• Long time correlations of nonlinear Luttinger liquids
• One-Dimensional Fermions with neither Luttinger-Liquid nor Fermi-Liquid Behavior
• Spectral edge mode in interacting one-dimensional systems
• Fermion Schwinger's function for the SU(2)-Thirring model
• Exotic Ising dynamics in a Bose-Hubbard model

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• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Angle resolved photoemission spectroscopy reveals spin charge separation in metallic MoSe2 grain boundary
• Spectral functions and time evolution from the Chebyshev recursion
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Relaxation to gaussian and generalized Gibbs states in systems of particles with quadratic hamiltonians
• Spin-charge separated quasiparticles in one dimensional quantum fluids
• Pseudoparticle approach to 1D integrable quantum models
• Absence of ballistic charge transport in the half-filled 1D Hubbard model
• One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
• Higher-Order Spin-Hole Correlations around a Localized Charge Impurity
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• Optical conductivity of the Hubbard chain away from half filling
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• Dynamical structure factors of the spin-1/2 XXX chain at finite magnetic field
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism