Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model

Abstract

We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model, which is driven with a pulsed electric field of finite duration. In order to go beyond a mean-field treatment of the electronic interactions we adopt a large-$N$ generalization of the Hubbard model and combine it with the semiclassical fermionic truncated Wigner approximation as a time evolution method. This allows us to calculate dephasing corrections to the mean-field dynamics and to obtain stationary states, which we interpret as prethermal order. We use this framework to simulate the light-induced transition between two competing phases (bond density wave and staggered flux) and find that the post-pulse stationary state order parameter values are not determined alone by the amount of absorbed energy but depend explicitly on the driving frequency and field direction. While the transition between the two prethermal phases takes place at similar total energies in the low- and high-frequency regimes, we identify an intermediate frequency regime for which it occurs with minimal heating.

arXiv commentupdated data

References in corpus (71)

• The density-matrix renormalization group in the age of matrix product states
• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Atomic quantum gases in periodically driven optical lattices
• Floquet Engineering of Quantum Materials
• An optically stimulated superconducting-like phase in K3C60 far above equilibrium Tc
• Nonequilibrium dynamical mean-field theory and its applications
• Ultrafast switching to a stable hidden topologically protected quantum state in an electronic crystal
• Time-evolution methods for matrix-product states
• Phase space representation of quantum dynamics
• Nonthermal pathways to ultrafast control in quantum materials
• Interaction Quench in the Hubbard model
• Ultracold fermions and the SU(N) Hubbard model
• Large N expansion for frustrated and doped quantum antiferromagnets
• Quantum many-body dynamics in two dimensions with artificial neural networks
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Dynamical vanishing of the order parameter in a fermionic condensate
• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Theory of light-enhanced phonon-mediated superconductivity
• Odeint - Solving ordinary differential equations in C++
• Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model: a quantum Monte Carlo study
• Achieving the Ultimate Scaling Limit for Nonequilibrium Green Functions Simulations
• Metal-insulator transition in the one-dimensional SU(N) Hubbard model
• Theory of Laser-Controlled Competing Superconducting and Charge Orders
• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• Broken time-reversal symmetry in strongly correlated ladder structures
• The G1--G2 Scheme: Dramatic Acceleration of Nonequilibrium Green Functions Simulations Within the Hartree--Fock-GKBA
• Hartree-Fock Computation of the High-Tc Cuprate Phase Diagram
• Floquet analysis of a quantum system with modulated periodic driving
• Mean field theory of competing orders in metals with antiferromagnetic exchange interactions
• Nonequilibrium enhancement of high-temperature superconductivity in a 3D model of cuprates
• New theoretical approaches for correlated systems in nonequilibrium
• Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems
• A flow equation approach to periodically driven quantum systems
• Ultrafast Dynamics of Strongly Correlated Fermions -- Nonequilibrium Green Functions and Selfenergy Approximations
• Transient trapping into metastable states in systems with competing orders
• Low rank compression in the numerical solution of the nonequilibrium Dyson equation
• Simulation of Quantum Spin Dynamics by Phase Space Sampling of BBGKY Trajectories
• Self-similar dynamics of order parameter fluctuations in pump-probe experiments
• Effective Floquet Hamiltonian in the low-frequency regime
• Mott transition and dimerization in the one-dimensional SU$(n)$ Hubbard model
• Nonequilibrium dynamics of spin-boson models from phase space methods
• Light induced enhancement of superconductivity via melting of competing bond-density wave order in underdoped cuprates
• Floquet prethermalization in the resonantly driven Hubbard model
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Ultrafast dynamics of finite Hubbard clusters - a stochastic mean-field approach
• Fermi's golden rule for heating in strongly driven Floquet systems
• The Generalized Kadanoff-Baym Ansatz with Initial Correlations
• Semiclassical approach to Dynamics of Interacting Fermions
• Detecting superconductivity out-of-equilibrium
• Theoretical description of time-resolved pump/probe photoemission in TaS\_2: a single-band DFT+DMFT(NRG) study within the quasiequilibrium approximation
• Spatially nonuniform phases in the one-dimensional SU(n) Hubbard model for commensurate fillings
• Quantum quenches and competing orders
• Self-Consistent Random Phase Approximation - Application to the Hubbard Model for finite number of sites
• Memory truncated Kadanoff-Baym equations
• Gauge invariance in the theoretical description of time-resolved angle-resolved pump/probe photoemission spectroscopy
• Linear Flavor-Wave Theory for Fully Antisymmetric $\mathrm{SU}(N)$ Irreducible Representations
• Finite Temperature Phase Transitions in the SU$(N)$ Hubbard model
• Exact eigenstates of extended SU($N$) Hubbard models: Generalizations of $\eta$-pairing states with $N$-particle off-diagonal long-range order
• Thermalization rates in the one dimensional Hubbard model with next-to-nearest neighbor hopping
• Impact of the initial fluctuations on the dissipative dynamics of interacting Fermi systems: A model case study
• Filling-driven Mott transition in SU(N) Hubbard models
• Semiclassical dynamics of a disordered two-dimensional Hubbard model with long-range interactions
• Fluctuation control of non-thermal orbital order
• Exact solution for Bloch oscillations of a simple charge-density-wave insulator
• Insulating charge density wave for a half-filled SU(N) Hubbard model with an attractive on-site interaction in one dimension
• Combining phase-space and time-dependent reduced density matrix approach to describe the dynamics of interacting fermions
• Pump induced motion of an interface between competing orders
• Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force
• Beyond Planck-Einstein quanta: amplitude driven quantum excitation
• Photoinduced prethermalization phenomena in correlated metals

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• Stochastic semiclassical theory for non-equilibrium electron-phonon coupled systems
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• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator
• Systematic large flavor fTWA approach to interaction quenches in the Hubbard model
• Charge carrier relaxation dynamics in the one-dimensional Kondo lattice model