A single-band model with enhanced pairing from DMRG-based downfolding of the three-band Hubbard model

Jiang, Shengtao; Scalapino, D. J.; White, Steven R.

doi:10.48550/arxiv.2303.00756

Cited by 2 publications

(1 citation statement)

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“…Many other properties of the oneband Hubbard model remain to be determined and understood. Other terms [58,59] and effects not present in the Hubbard model may still play important quantitative roles. Nevertheless, it appears that qualitatively, the t-t -U Hubbard model has "the right stuff".…”

Section: Discussionmentioning

confidence: 99%

Coexistence of superconductivity with partially filled stripes in the Hubbard model

Xu¹,

Chung²,

Qin³

et al. 2023

Preprint

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Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron-and hole-doped regimes of the twodimensional Hubbard model (with next nearest neighbor hopping). In the electron-doped regime, superconductivity is weaker and is accompanied by antiferromagnetic Néel correlations at low doping. The strong superconductivity on the hole-doped side coexists with stripe order, which persists into the overdoped region with weaker hole density modulation. These stripe orders, neither filled as in the pure Hubbard model (no next nearest neighbor hopping) nor half-filled as seen in previous state-of-the-art calculations, vary in fillings between 0.6 and 0.8. The resolution of the tiny energy scales separating competing orders requires exceedingly high accuracy combined with averaging and extrapolating with a wide range of system sizes and boundary conditions. These results validate the applicability of this iconic model for describing cuprate high-Tc superconductivity.

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Section: Discussionmentioning

confidence: 99%

Coexistence of superconductivity with partially filled stripes in the Hubbard model

Xu¹,

Chung²,

Qin³

et al. 2023

Preprint

View full text Add to dashboard Cite

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Low-depth simulations of fermionic systems on square-grid quantum hardware

Algaba,

Sriluckshmy,

Leib

et al. 2024

Quantum

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We present a general strategy for mapping fermionic systems to quantum hardware with square qubit connectivity which yields low-depth quantum circuits, counted in the number of native two-qubit fSIM gates. We achieve this by leveraging novel operator decomposition and circuit compression techniques paired with specifically chosen low-depth fermion-to-qubit mappings and allow for a high degree of gate cancellations and parallelism. Our mappings retain the flexibility to simultaneously optimize for qubit counts or qubit operator weights and can be used to investigate arbitrary fermionic lattice geometries. We showcase our approach by investigating the tight-binding model, the Fermi-Hubbard model as well as the multi-orbital Hubbard-Kanamori model. We report unprecedentedly low circuit depths per single Trotter layer with up to a 70% improvement upon previous state-of-the-art. Our compression technique also results in significant reduction of two-qubit gates. We find the lowest gate-counts when applying the XYZ-formalism to the DK mapping. Additionally, we show that our decomposition and compression formalism produces favourable circuits even when no native parameterized two-qubit gates are available.

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A single-band model with enhanced pairing from DMRG-based downfolding of the three-band Hubbard model

Cited by 2 publications

References 61 publications

Coexistence of superconductivity with partially filled stripes in the Hubbard model

Coexistence of superconductivity with partially filled stripes in the Hubbard model

Low-depth simulations of fermionic systems on square-grid quantum hardware

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