Nonthermal antiferromagnetic order and nonequilibrium criticality in the Hubbard model

Abstract

We study dynamical phase transitions from antiferromagnetic to paramagnetic states driven by an interaction quench in the fermionic Hubbard model using the nonequilibrium dynamical mean-field theory. We identify two dynamical transition points where the relaxation behavior qualitatively changes: one corresponds to the thermal phase transition at which the order parameter decays critically slowly in a power law $\propto t^{-1/2}$, and the other is connected to the existence of nonthermal antiferromagnetic order in systems with effective temperature above the thermal critical temperature. The frequency of the amplitude mode extrapolates to zero as one approaches the nonthermal (quasi)critical point, and thermalization is significantly delayed by the trapping in the nonthermal state. A slow relaxation of the nonthermal order is followed by a faster thermalization process.

References in corpus (20)

• Many-Body Physics with Ultracold Gases
• Nonequilibrium dynamics of closed interacting quantum systems
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Prethermalization
• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
• Nonequilibrium dynamical mean-field theory
• Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Coherent dynamics of macroscopic electronic order through a symmetry-breaking transition
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Interaction-induced adiabatic cooling and antiferromagnetism of cold fermions in optical lattices
• Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench
• Nonequilibrium quantum criticality in open electronic systems
• Dynamical vanishing of the order parameter in a fermionic condensate
• Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
• Nonthermal symmetry broken states in the strongly interacting Hubbard model
• Low temperature properties of the infinite-dimensional attractive Hubbard model
• Repulsion-to-attraction transition in correlated electron systems triggered by a monocycle pulse
• Nonequilibrium quantum phase transition in itinerant electron systems

Cited by in corpus (106)

• Nonequilibrium dynamical mean-field theory and its applications
• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Nonthermal pathways to ultrafast control in quantum materials
• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• Higgs Amplitude Mode in BCS Superconductors Nb${}_{1-x}$Ti${}_x$N induced by Terahertz Pulse Excitation
• Higgs Mode in Superconductors
• Theory of Anderson pseudospin resonance with Higgs mode in superconductors
• Theory of light-enhanced phonon-mediated superconductivity
• First order dynamical phase transitions
• Quantum quenches, dynamical transitions and off-equilibrium quantum criticality
• Dynamical transitions and quantum quenches in mean-field models
• Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
• Far-from-equilibrium field theory of many-body quantum spin systems: Prethermalization and relaxation of spin spiral states in three dimensions
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Theory of Laser-Controlled Competing Superconducting and Charge Orders
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Photo-induced enhancement of excitonic order
• Transport through an Anderson impurity: Current ringing, non-linear magnetization and a direct comparison of continuous-time quantum Monte Carlo and hierarchical quantum master equations
• Dynamical crossovers in prethermal critical states
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Nonequilibrium dynamical mean-field theory based on weak-coupling perturbation expansions: Application to dynamical symmetry breaking in the Hubbard model
• Ultrafast Quenching of the Exchange Interaction in a Mott Insulator
• Phonon-enhanced relaxation and excitation in the Holstein-Hubbard model
• Ultra-fast photo-carrier relaxation in Mott insulators with short-range spin correlations
• Photo-induced gap closure in an excitonic insulator
• Nonequilibrium Charge-Density-Wave Order Beyond the Thermal Limit
• Universal post-quench prethermalization at a quantum critical point
• Nonlinear light-Higgs coupling in superconductors beyond BCS: Effects of the retarded phonon-mediated interaction
• Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains
• Resonant thermalization of periodically driven strongly correlated electrons
• All-optical nonequilibrium pathway to stabilizing magnetic Weyl semimetals in pyrochlore iridates
• Comparing the generalized Kadanoff-Baym ansatz with the full Kadanoff-Baym equations for an excitonic insulator out of equilibrium
• Review of the theoretical description of time-resolved angle-resolved photoemission spectroscopy in electron-phonon mediated superconductors
• Truncating the memory time in nonequilibrium DMFT calculations
• Typicality of Prethermalization
• Ultrafast dynamics of spin and orbital correlations in quantum materials: an energy- and momentum-resolved perspective
• Nonequilibrium dynamical mean field simulation of inhomogeneous systems
• Semiclassical dynamics of spin density waves
• Hamiltonian-based impurity solver for nonequilibrium dynamical mean-field theory
• Test of quantum thermalization in the two-dimensional transverse-field Ising model
• Non-thermal melting of Neel order in the Hubbard model
• Photo-induced phase transition and associated time scales in the excitonic insulator Ta${}_2$NiSe${}_5$
• Nonequilibrium dynamical cluster theory
• Universal post-quench coarsening and quantum aging at a quantum critical point
• Light-induced d-wave superconductivity through Floquet-engineered Fermi surfaces in cuprates
• Hund's coupling driven photo-carrier relaxation in the two-band Mott insulator
• Non-equilibrium gap-collapse near a first-order Mott transition
• Photo-induced nonequilibrium states in Mott insulators
• Nonequilibrium dynamics in the pump-probe spectroscopy of excitonic insulators
• From sudden quench to adiabatic dynamics in the attractive Hubbard model
• Non-equilibrium dynamics in the antiferromagnetic Hubbard model
• Bypassing the energy-time uncertainty in time-resolved photoemission
• Witnessing nonequilibrium entanglement dynamics in a strongly correlated fermionic chain
• Auxiliary Hamiltonian representation of the nonequilibrium Dyson equation
• Temporal decay of Neel order in the one-dimensional Fermi-Hubbard model
• Noise Correlations in time- and angular-resolved photoemission spectroscopy
• Non equilibrium dynamics of isolated disordered systems: the classical Hamiltonian p-spin model
• Dynamical instabilities and transient short-range order in the fermionic Hubbard model
• Dynamical crossover in the transient quench dynamics of short-range transverse field Ising models
• Transient Loschmidt Echo in Quenched Ising Chains
• Dynamics following a linear ramps in the $O(N)$ model: dynamical transition and statistics of excitations
• Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality
• Nonequilibrium diagrammatic many-body simulations with quantics tensor trains
• Accelerated gap collapse in a Slater antiferromagnet
• Nonequilibrium Dynamical Cluster Approximation study of the Falicov-Kimball Model
• Quenched dynamics of classical isolated systems: the spherical spin model with two-body random interactions or the Neumann integrable model
• Nonthermal excitonic condensation near a spin-state transition
• Non-equilibrium dynamics across the BEC-BCS crossover
• Nonthermal switching of charge order: dynamical slowing down and optimal control
• Inhomogeneous disordering at a photo-induced charge density wave transition
• Emergent topology and symmetry-breaking order in correlated quench dynamics
• Decoupling of static and dynamic criticality in a driven Mott insulator
• Dynamical Mean Field Theory extension to the nonequilibrium Two-Particle Self-Consistent approach
• Ultrafast Spin Dynamics and Photoinduced Insulator-to-Metal Transition in $\alpha$-$RuC{l}_3$
• Nonequilibrium dynamics of superconductivity in the attractive Hubbard model
• Detecting quantum phase transitions in the quasi-stationary regime of Ising chains
• Non-equilibrium evolution of the optical conductivity of the weakly interacting Hubbard model: Drude response and $\pi$-ton type vertex corrections
• Quantum nonlinear phononics route towards nonequilibrium materials engineering: Melting dynamics of a ferrielectric charge density wave
• Probing dynamical criticality near quantum phase transitions
• Nonequilibrium self-energy functional approach to the dynamical Mott transition
• Fermion-induced Dynamical Critical Point
• Steady-state dynamical mean field theory based on influence functional matrix product states
• Memory-Efficient Nonequilibrium Green's Function Framework Built On Quantics Tensor Trains
• Transient phases and dynamical transitions in the post quench evolution of the generalized Bose-Anderson model
• Quench dynamics of Anderson impurity model using configuration interaction method
• Chirped amplitude mode in photo-excited superconductors
• Nonequilibrium dynamics of spontaneous symmetry breaking into a hidden state of charge-density wave
• Large-amplitude spin oscillations triggered by nonequilibrium strongly correlated $t_{2g}$ electrons
• Charge and pairing dynamics in the attractive Hubbard model: mode coupling and the validity of linear-response theory
• Pattern formation in charge density wave states after a quantum quench
• Orbital-selective thermalization plateau in the mass imbalanced Hubbard model
• Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual $GW$ study
• Post-quench dynamics and suppression of thermalization in an open half-filled Hubbard layer
• Perspectives of optical lattices with state-dependent tunneling in approaching quantum magnetism in the presence of the external harmonic trapping potential
• Metastability in Coexisting Competing Orders
• Dynamical recovery of SU(2) symmetry in the mass-quenched Hubbard model
• Higgs and Nambu-Goldstone modes in condensed matter physics
• Photo-induced Dynamics of Quasicrystalline Excitonic Insulator
• Transient dynamics and quantum phase diagram for the square lattice Rashba-Hubbard model at arbitrary hole doping
• Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
• Dynamics of Order Parameter in Photoexcited Peierls Chain
• Momentum-dependent relaxation dynamics of the doped repulsive Hubbard model
• Nonequilibrium phase transition in a driven-dissipative quantum antiferromagnet
• A causality-based divide-and-conquer algorithm for nonequilibrium Green's function calculations with quantics tensor trains
• Mechanism for Synchronization of Charge Oscillations in Dimer Lattices
• Dynamic inhomogeneities and phase separation after quantum quenches in strongly correlated systems