Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866908985848758272 |
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| author | Cho, Minjae Nancarrow, Colin Oscar Tadić, Petar Xin, Yuan |
| author_facet | Cho, Minjae Nancarrow, Colin Oscar Tadić, Petar Xin, Yuan |
| contents | We demonstrate that combining the positivity of density matrices with steady-state conditions yields a systematic bootstrap method for studying open quantum many-body systems governed by Lindblad master equations on infinite lattices, which exhibit absorbing phase transitions. As a concrete example, we apply this method to the quantum contact process with an absorbing state. We obtain bootstrap bounds on steady-state expectation values, the critical coupling, certain ratios of expectation values in the nontrivial steady state in the supercritical phase, and the Liouvillian spectral gap in the subcritical phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19862 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions Cho, Minjae Nancarrow, Colin Oscar Tadić, Petar Xin, Yuan Quantum Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory We demonstrate that combining the positivity of density matrices with steady-state conditions yields a systematic bootstrap method for studying open quantum many-body systems governed by Lindblad master equations on infinite lattices, which exhibit absorbing phase transitions. As a concrete example, we apply this method to the quantum contact process with an absorbing state. We obtain bootstrap bounds on steady-state expectation values, the critical coupling, certain ratios of expectation values in the nontrivial steady state in the supercritical phase, and the Liouvillian spectral gap in the subcritical phase. |
| title | Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.19862 |