Characterization of photoexcited states in the half-filled one-dimensional extended Hubbard model assisted by machine learning

Abstract

Photoinduced nonequilibrium states can provide new insight into dynamical properties of strongly correlated electron systems. One of the typical and extensively studied systems is the half-filled one-dimensional extended Hubbard model (1DEHM). Here, we propose that the supervised machine learning (ML) can provide useful information for characterizing photoexcited states in 1DEHM. Using entanglement spectra as a training dataset, we construct neural network. Judging from the trained network, we find that bond-spin-density wave (BSDW) order can be enhanced in photoexcited states if the frequency of a driving pulse nearly resonates with gap. We separately calculate the time evolution of local and non-local order parameters and confirm that the correlation functions of BSDW are actually enhanced by photoexcitation as predicted by ML. The successful prediction of BSDW demonstrates the advantage of ML to assist characterizing photoexcited quantum states.

arXiv comment11 pages, 10 figures

References in corpus (106)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Machine learning phases of matter
• Photovoltaic Hall effect in graphene
• Real time evolution using the density matrix renormalization group
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• A high-bias, low-variance introduction to Machine Learning for physicists
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Time-dependent variational principle for quantum lattices
• Classifying quantum phases using Matrix Product States and PEPS
• Learning phase transitions by confusion
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Entanglement and quantum phase transition in the extended Hubbard model
• Local entanglement and quantum phase transition in the Hubbard model
• Entanglement spectrum of topological insulators and superconductors
• Machine learning quantum phases of matter beyond the fermion sign problem
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Time-evolving a matrix product state with long-ranged interactions
• Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
• Machine Learning Topological States
• Quantum Loop Topography for Machine Learning
• Hidden order in 1D Bose insulators
• Entanglement entropy and entanglement spectrum of the Kitaev model
• Machine Learning Phases of Strongly Correlated Fermions
• Observation of photon-assisted tunneling in optical lattices
• Ultrafast and reversible control of the exchange interaction in Mott insulators
• Identifying Quantum Phase Transitions using Artificial Neural Networks on Experimental Data
• Tricritical Behavior in the Extended Hubbard Chains
• Rise and fall of hidden string order of lattice bosons
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• Bond-order-wave phase and quantum phase transitions in the one-dimensional extended Hubbard model
• The entanglement gap and a new principle of adiabatic continuity
• Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Breakdown of a Mott insulator -- non-adiabatic tunneling mechanism
• Controlling Correlated Tunneling and Superexchange Interactions with AC-Driven Optical Lattices
• Ground-State Decay Rate for the Zener Breakdown in Band and Mott Insulators
• Non-local order in gapless systems: Entanglement Spectrum in Spin Chains
• Probing many-body localization with neural networks
• Photon-Assisted Tunneling in a Biased Strongly Correlated Bose Gas
• Machine learning out-of-equilibrium phases of matter
• Disentangling Entanglement Spectra of Fractional Quantum Hall States on Torus Geometries
• Ground-state phase diagram of a half-filled one-dimensional extended Hubbard model
• Ground state phases of the Half-Filled One-Dimensional Extended Hubbard Model
• Phase Diagram of One-Dimensional Extended Hubbard Model at Half Filling
• Enhancement and sign change of magnetic correlations in a driven quantum many-body system
• Mechanism of CDW-SDW Transition in One Dimension
• Deep Learning the Quantum Phase Transitions in Random Two-Dimensional Electron Systems
• Topological Entanglement and Clustering of Jain Hierarchy States
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Machine Learning ${\mathbb{Z}}_2$ Quantum Spin Liquids with Quasi-particle Statistics
• Classifying Snapshots of the Doped Hubbard Model with Machine Learning
• Photoinduced $\eta$ Pairing in the Hubbard Model
• Effective Hamiltonians for fastly driven many-body lattice systems
• Phase Diagram of the Extended Hubbard Model with Correlated Hopping Interaction
• Dimerization in a half-filled one-dimensional extended Hubbard model
• Scaling of the entanglement spectrum near quantum phase transitions
• Floquet dynamics in driven Fermi-Hubbard systems
• Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model
• Parameter diagnostics of phases and phase transition learning by neural networks
• An order parameter for impurity systems at quantum criticality
• Block-block entanglement and quantum phase transitions in one-dimensional extended Hubbard model
• Geometry and the Hidden Order of Luttinger Liquids: the Universality of Squeezed Space
• Quantum simulation of correlated-hopping models with fermions in optical lattices
• Learning Disordered Topological Phases by Statistical Recovery of Symmetry
• Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator
• Excitons in the One-Dimensional Hubbard Model: a Real-Time Study
• Deep Learning the Quantum Phase Transitions in Random Electron Systems: Applications to Three Dimensions
• Effective three-body interactions via photon-assisted tunneling in an optical lattice
• Enhancement of super-exchange pairing in the periodically-driven Hubbard model
• The hidden symmetry-breaking picture of symmetry-protected topological order
• Controlling the Floquet state population and observing micromotion in a periodically driven two-body quantum system
• Numerical method to compute optical conductivity based on pump-probe simulations
• $\eta$-pairing superfluid in periodically-driven fermionic Hubbard model with strong attraction
• Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model
• Effects of interactions on periodically driven dynamically localized systems
• Single-site- and single-atom-resolved measurement of correlation functions
• Phase Diagrams from Topological Transitions: The Hubbard Chain with Correlated Hopping
• Symmetry protected topological phases of 1D interacting fermions with spin-charge separation
• How Hidden Orders Generate Gaps in 1D Fermionic Systems
• Non-local order parameters for the 1D Hubbard model
• Enhanced charge order in a photoexcited one-dimensional strongly correlated system
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• Entanglement in extended Hubbard models and quantum phase transitions
• Tuning the bond order wave (BOW) phase of half-filled extended Hubbard models
• Universal aspects in the behavior of the entanglement spectrum in one dimension: scaling transition at the factorization point and ordered entangled structures
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model
• Understanding the entanglement entropy and spectra of 2D quantum systems through arrays of coupled 1D chains
• Quantum information analysis of the phase diagram of the half-filled extended Hubbard model
• Photoinduced in-gap excitations in the one-dimensional extended Hubbard model
• Floquet spin and spin-orbital Hamiltonians and doublon-holon generations in periodically driven Mott insulators
• Quantum phase diagram of the half filled Hubbard model with bond-charge interaction
• Ising tricriticality in the extended Hubbard model with bond dimerization
• Ultrafast transient interference in pump-probe spectroscopy of band and Mott insulators
• Magnetic susceptibility of alkali-TCNQ salts and extended Hubbard models with bond order and charge density wave phases
• Density Matrix Spectra and Order Parameters in the 1D Extended Hubbard Model
• Entanglement and Majorana edge states in the Kitaev model
• Machine Learning Phase Diagram in the Half-filled One-dimensional Extended Hubbard Model
• Photoinduced enhancement of bond-order in the one-dimensional extended Hubbard model
• Hidden Magnetism in Periodically Modulated One Dimensional Dipolar Fermions
• Singlet exciton condensation and bond-order-wave phase in the extended Hubbard model
• Density matrix renormalization group study in energy space for a single-impurity Anderson model and an impurity quantum phase transition
• Bond order wave (BOW) phase of the extended Hubbard model: Electronic solitons, paramagnetism, coupling to Peierls and Holstein phonons
• Photoinduced $\eta$-pairing in One-dimensional Mott Insulators

Cited by in corpus (4)

• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model
• Photoinduced enhancement of bond-order in the one-dimensional extended Hubbard model
• Scanning-probe and information-concealing machine learning intermediate hexatic phase and critical scaling of solid-hexatic phase transition in deformable particles
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder