Superconductivity and charge density wave under a time-dependent periodic field in the one-dimensional attractive Hubbard model

Fujiuchi, Ryo; Kaneko, Tatsuya; Sugimoto, K.; Yunoki, Seiji; Ohta, Y.

doi:10.1103/physrevb.101.235122

Cited by 15 publications

(10 citation statements)

References 46 publications

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“…In this context, the so-called η-pairing, originally proposed by Yang for the Hubbard model [13], has attracted renewed attention [14][15][16][17][18][19][20][21]. Pumping the Mott insulating phase may results in an excited state with enhanced offdiagonal pair-density-wave correlations, which are absent in the ground state [15].…”

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confidence: 99%

Photoinduced η -pairing at finite temperatures

Kaneko

Lange

Yunoki

et al. 2020

Phys. Rev. Research

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confidence: 99%

Photoinduced η -pairing at finite temperatures

Kaneko

Lange

Yunoki

et al. 2020

Phys. Rev. Research

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“…The particle-hole transformation is useful to gain insight into the correspondence between the repulsive and attractive Fermi-Hubbard models as well as that between the spin and charge degrees of freedom (see for example Refs. [77][78][79][80]). Indeed, the fact [81] that the ground state of the attractive Fermi-Hubbard model for even number of fermions in the absence of magnetic field has S = 0 (i.e., spin singlet) implies that the ground state of the repulsive Fermi-Hubbard model on a bipartite lattice at half filling has η = 0 (i.e., η singlet).…”

Section: B Hamiltonian Symmetrymentioning

confidence: 99%

Spatial, spin, and charge symmetry projections for a Fermi-Hubbard model on a quantum computer

Seki,

Yunoki

2021

Preprint

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We propose an extended version of the symmetry-adapted variational-quantum-eigensolver (VQE) and apply it to a two-component Fermi-Hubbard model on a bipartite lattice. In the extended symmetry-adapted VQE method, the Rayleigh quotient for the Hamiltonian and a parametrized quantum state in a properly chosen subspace is minimized within the subspace and is optimized among the variational parameters implemented on a quantum circuit to obtain variationally the ground state and the ground-state energy. The corresponding energy derivative with respect to a variational parameter is expressed as a Hellmann-Feynman-type formula of a generalized eigenvalue problem in the subspace, which thus allows us to use the parameter-shift rules for its evaluation. The natural-gradient-descent method is also generalized to optimize variational parameters in a quantum-subspace-expansion approach. As a subspace for approximating the ground state of the Hamiltonian, we consider a Krylov subspace generated by the Hamiltonian and a symmetry-projected variational state, and therefore the approximated ground state can restore the Hamiltonian symmetry that is broken in the parametrized variational state prepared on a quantum circuit. We show that spatial symmetry operations for fermions in an occupation basis can be expressed as a product of the nearest-neighbor fermionic swap operations on a quantum circuit. We also describe how the spin and charge symmetry operations, i.e., rotations, can be implemented on a quantum circuit. By numerical simulations, we demonstrate that the spatial, spin, and charge symmetry projections can improve the accuracy of the parametrized variational state, which can be further improved systematically by expanding the Krylov subspace without increasing the number of variational parameters.

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“…The ηpaired phase is a superfluid of doubly-occupied electronic states carrying finite momentum Q η and arising from a broken SU(2) symmetry of the Hubbard Hamiltonian. Since the η-pairing is an eigenstate, but not necessarily a ground state, pump light pulses open the possibility of stabilizing this yet unobserved phase [103][104][105][106][107] . A periodic pump is theoretically predicted to enhance pairing correlations and establish true off-diagonal long-range order by dynamically renormalizing the onsite Coulomb repulsion 107 .…”

Section: A New Scientific Opportunitymentioning

confidence: 99%

Probing light-driven quantum materials with ultrafast resonant inelastic X-ray scattering

Mitrano,

Wang

2020

Preprint

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Ultrafast optical pulses are an increasingly important tool for controlling quantum materials and triggering novel photo-induced phase transitions. Understanding these dynamic phenomena requires a probe sensitive to spin, charge, and orbital degrees of freedom. Time-resolved resonant inelastic X-ray scattering (trRIXS) is an emerging spectroscopic method, which responds to this need by providing unprecedented access to the finite-momentum fluctuation spectrum of photoexcited solids. In this Perspective, we briefly review state-of-the-art trRIXS experiments on condensed matter systems, as well as recent theoretical advances. We then describe future research opportunities in the context of light control of quantum matter.

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Superconductivity and charge density wave under a time-dependent periodic field in the one-dimensional attractive Hubbard model

Cited by 15 publications

References 46 publications

Photoinduced η -pairing at finite temperatures

Photoinduced η -pairing at finite temperatures

Spatial, spin, and charge symmetry projections for a Fermi-Hubbard model on a quantum computer

Probing light-driven quantum materials with ultrafast resonant inelastic X-ray scattering

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