Variational wavefunction for Mott insulator at finite $U$ using ancilla qubits
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929498228785152 |
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| author | Zhou, Boran Jin, Hui-Ke Zhang, Ya-Hui |
| author_facet | Zhou, Boran Jin, Hui-Ke Zhang, Ya-Hui |
| contents | The Mott regime with finite $U$ offers a promising platform for exploring novel phases of matter, such as quantum spin liquids (QSL) that exhibit fractionalization and emergent gauge field. Here, we provide a new class wavefunction, dubbed ancilla wavefunction, to capture both charge and spin (gauge) fluctuations in QSLs at finite $U$. The ancilla wavefunction can unify the Fermi liquid and Mott insulator phases with a single variation parameter $Φ$ tuning the charge gap. As $Φ\rightarrow\infty$, the wavefunction reduces to the Gutzwiller projected state, while at $Φ=U/2$, it is effectively equivalent to applying an inverse Schrieffer-Wolff transformation to the Gutzwiller projected state. This wavefunction can be numerically simulated in the matrix product state representation, and its performance is supported by numerical results for both one- and two-dimensional Hubbard models. Besides, we propose the possibility of a narrow regime of fractional Fermi liquid phase between the usual Fermi liquid and the Mott insulator phases close to the metal insulator transition -- a scenario typically overlooked by the conventional slave rotor theory. Our ancilla wavefunction offers a novel conceptual framework and a powerful numerical tool for understanding Mott physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07512 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variational wavefunction for Mott insulator at finite $U$ using ancilla qubits Zhou, Boran Jin, Hui-Ke Zhang, Ya-Hui Strongly Correlated Electrons The Mott regime with finite $U$ offers a promising platform for exploring novel phases of matter, such as quantum spin liquids (QSL) that exhibit fractionalization and emergent gauge field. Here, we provide a new class wavefunction, dubbed ancilla wavefunction, to capture both charge and spin (gauge) fluctuations in QSLs at finite $U$. The ancilla wavefunction can unify the Fermi liquid and Mott insulator phases with a single variation parameter $Φ$ tuning the charge gap. As $Φ\rightarrow\infty$, the wavefunction reduces to the Gutzwiller projected state, while at $Φ=U/2$, it is effectively equivalent to applying an inverse Schrieffer-Wolff transformation to the Gutzwiller projected state. This wavefunction can be numerically simulated in the matrix product state representation, and its performance is supported by numerical results for both one- and two-dimensional Hubbard models. Besides, we propose the possibility of a narrow regime of fractional Fermi liquid phase between the usual Fermi liquid and the Mott insulator phases close to the metal insulator transition -- a scenario typically overlooked by the conventional slave rotor theory. Our ancilla wavefunction offers a novel conceptual framework and a powerful numerical tool for understanding Mott physics. |
| title | Variational wavefunction for Mott insulator at finite $U$ using ancilla qubits |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2409.07512 |