Relaxation to an Ideal Chern Band through Coupling to a Markovian Bath
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912709400854528 |
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| author | Mera, Bruno Ozawa, Tomoki |
| author_facet | Mera, Bruno Ozawa, Tomoki |
| contents | We propose a microscopic, weak-coupling mechanism by which generic Chern bands relax toward ideal bands. We consider coupling interacting electrons to a Caldeira-Leggett like Ohmic bosonic bath. Using the Born-Markov approximation, Slater determinant states of a Chern band under Hartree-Fock approximation evolve toward Slater determinant states corresponding to an ideal Chern band. We validate our proposal by performing numerical simulation of a massive Dirac model, showing that the Berry curvature and quantum metric indeed co-evolve to saturate the trace condition. Our proposal provides a concrete dissipative route to realize ideal Chern bands, a fundamental building block for the stabilization of fractional Chern insulators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11394 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relaxation to an Ideal Chern Band through Coupling to a Markovian Bath Mera, Bruno Ozawa, Tomoki Mesoscale and Nanoscale Physics Quantum Gases Mathematical Physics We propose a microscopic, weak-coupling mechanism by which generic Chern bands relax toward ideal bands. We consider coupling interacting electrons to a Caldeira-Leggett like Ohmic bosonic bath. Using the Born-Markov approximation, Slater determinant states of a Chern band under Hartree-Fock approximation evolve toward Slater determinant states corresponding to an ideal Chern band. We validate our proposal by performing numerical simulation of a massive Dirac model, showing that the Berry curvature and quantum metric indeed co-evolve to saturate the trace condition. Our proposal provides a concrete dissipative route to realize ideal Chern bands, a fundamental building block for the stabilization of fractional Chern insulators. |
| title | Relaxation to an Ideal Chern Band through Coupling to a Markovian Bath |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Mathematical Physics |
| url | https://arxiv.org/abs/2511.11394 |