Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit
We explore the quasi-one-dimensional (thin torus, or TT) limit of fractional Chern insulators (FCIs) as a starting point for their adiabatic preparation in quantum simulators. Our approach is based on tuning the hopping amplitude in one direction as an experimentally amenable knob to dynamically cha...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2023-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.023100 |
| _version_ | 1797210431738085376 |
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| author | Benjamin Michen Cécile Repellin Jan Carl Budich |
| author_facet | Benjamin Michen Cécile Repellin Jan Carl Budich |
| author_sort | Benjamin Michen |
| collection | DOAJ |
| description | We explore the quasi-one-dimensional (thin torus, or TT) limit of fractional Chern insulators (FCIs) as a starting point for their adiabatic preparation in quantum simulators. Our approach is based on tuning the hopping amplitude in one direction as an experimentally amenable knob to dynamically change the effective aspect ratio of the system. Similar to the TT limit of fractional quantum Hall systems in the continuum, we find that the hopping-induced TT limit adiabatically connects the FCI state to a trivial charge density wave (CDW) ground state. This adiabatic path may be harnessed for state preparation schemes relying on the initialization of a CDW state followed by the adiabatic decrease of a hopping anisotropy. Our findings are based on the calculation of the excitation gap in a number of FCI models, both on a lattice and consisting of coupled wires. By analytical calculation of the gap in the limit of strongly anisotropic hopping, we show that its scaling is compatible with the preparation of large-size FCIs for sufficiently large hopping anisotropy, where the amenable system sizes are only limited by the maximal hopping amplitude. Our numerical simulations in the framework of exact diagonalization explore the full anisotropy range to corroborate these results. |
| first_indexed | 2024-04-24T10:10:29Z |
| format | Article |
| id | doaj.art-3a14526149c3491d8fe1d0b289a79be9 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:10:29Z |
| publishDate | 2023-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-3a14526149c3491d8fe1d0b289a79be92024-04-12T17:30:56ZengAmerican Physical SocietyPhysical Review Research2643-15642023-05-015202310010.1103/PhysRevResearch.5.023100Adiabatic preparation of fractional Chern insulators from an effective thin-torus limitBenjamin MichenCécile RepellinJan Carl BudichWe explore the quasi-one-dimensional (thin torus, or TT) limit of fractional Chern insulators (FCIs) as a starting point for their adiabatic preparation in quantum simulators. Our approach is based on tuning the hopping amplitude in one direction as an experimentally amenable knob to dynamically change the effective aspect ratio of the system. Similar to the TT limit of fractional quantum Hall systems in the continuum, we find that the hopping-induced TT limit adiabatically connects the FCI state to a trivial charge density wave (CDW) ground state. This adiabatic path may be harnessed for state preparation schemes relying on the initialization of a CDW state followed by the adiabatic decrease of a hopping anisotropy. Our findings are based on the calculation of the excitation gap in a number of FCI models, both on a lattice and consisting of coupled wires. By analytical calculation of the gap in the limit of strongly anisotropic hopping, we show that its scaling is compatible with the preparation of large-size FCIs for sufficiently large hopping anisotropy, where the amenable system sizes are only limited by the maximal hopping amplitude. Our numerical simulations in the framework of exact diagonalization explore the full anisotropy range to corroborate these results.http://doi.org/10.1103/PhysRevResearch.5.023100 |
| spellingShingle | Benjamin Michen Cécile Repellin Jan Carl Budich Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit Physical Review Research |
| title | Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit |
| title_full | Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit |
| title_fullStr | Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit |
| title_full_unstemmed | Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit |
| title_short | Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit |
| title_sort | adiabatic preparation of fractional chern insulators from an effective thin torus limit |
| url | http://doi.org/10.1103/PhysRevResearch.5.023100 |
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