Charge stiffness and long-range correlation in the optically induced $\eta$-pairing state of the one-dimensional Hubbard model

Abstract

We show that optical excitation of the Mott insulating phase of the one-dimensional Hubbard model can create a state possessing two of the hallmarks of superconductivity: a nonvanishing charge stiffness and long-ranged pairing correlation. By employing the exact diagonalization method, we find that the superposition of the $\eta$-pairing eigenstates induced by the optical pump exhibits a nonvanishing charge stiffness and a pairing correlation that decays very slowly with system size in sharp contrast to the behavior of an ensemble of thermally excited eigenstates, which has a vanishing charge stiffness and no long-ranged pairing correlations. We show that the charge stiffness is indeed directly associated with the $\eta$-pairing correlation in the Hubbard model. Our finding demonstrates that optical pumping can actually lead to superconducting-like properties on the basis of the $\eta$-pairing states.

arXiv comment10 pages, 11 figures

References in corpus (26)

• Floquet Engineering of Quantum Materials
• An optically stimulated superconducting-like phase in K3C60 far above equilibrium Tc
• Optically enhanced coherent transport in YBa2Cu3O6.5 by ultrafast redistribution of interlayer coupling
• Optically induced coherent transport far above Tc in underdoped YBa2Cu3O6+x
• Integrability and ideal conductance at finite temperatures
• Transient superconductivity from electronic squeezing of optically pumped phonons
• Dynamical Cooper pairing in non-equilibrium electron-phonon systems
• Theory of light-enhanced phonon-mediated superconductivity
• Nonequilibrium steady states and transient dynamics of conventional superconductors under phonon driving
• Photoinduced $\eta$ Pairing in the Hubbard Model
• Pressure tuning of light-induced superconductivity in K3C60
• Heating-Induced Long-Range $\eta$-Pairing in the Hubbard Model
• Proposed parametric cooling of bilayer cuprate superconductors by terahertz excitation
• Theory of enhanced interlayer tunneling in optically driven high $T_c$ superconductors
• Non-equilibrium superconductivity in driven alkali-doped fullerides
• Transport properties of the one-dimensional Hubbard model at finite temperature
• Enhancement of Local Pairing Correlations in Periodically Driven Mott Insulators
• Floquet prethermalization in the resonantly driven Hubbard model
• Entropy-cooled nonequilibrium states of the Hubbard model
• Correlation-induced superconductivity dynamically stabilized and enhanced by laser irradiation
• Finite-temperature charge transport in the one-dimensional Hubbard model
• Photoinduced electron-electron pairing in the extended Falicov-Kimball model
• Photoinduced correlated electron dynamics in a two-leg ladder Hubbard system
• Photoinduced $\eta$ pairing in the Kondo lattice model
• Absence of ballistic charge transport in the half-filled 1D Hubbard model
• Completeness of Bethe ansatz for 1D Hubbard model with AB-flux through combinatorial formulas and exact enumeration of eigenstates

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• Exact eigenstates of multicomponent Hubbard models: SU($N$) magnetic $\eta$ pairing, weak ergodicity breaking, and partial integrability
• Photo-induced Ferromagnetic and Superconducting Orders in Multi-orbital Hubbard Models
• Twisted chiral superconductivity in photodoped frustrated Mott insulators
• Dynamic generation of nonequilibrium superconducting states in Kitaev chain
• Dynamical control of the conductivity of an atomic Josephson junction
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• Steady off-diagonal long-range order state in a half-filled dimerized Hubbard chain induced by a resonant pulsed field
• Photoinduced $\eta$-pairing correlation in the Hubbard ladder
• Towards numerically exact computation of conductivity in the thermodynamic limit of interacting lattice models
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• Photo-induced charge, spin, and orbital order in the two-orbital extended Hubbard model
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• Superconductor-like effects in an AC driven normal Mott-insulating quantum dot array
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation
• Electron pairing in the Hubbard model as a result of on-site repulsion fluctuations
• Radiative Higgs mode in photoinduced $\eta$ pairs
• Enhancement of superconducting pairing via quantum Lyapunov control