Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions

• URL: http://arxiv.org/abs/2604.19862v1
• Date: Tue, 21 Apr 2026 18:00:00 GMT
• Title: Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions
• Abstract summary: We study open quantum many-body systems governed by Lindblad master equations on infinite lattices.<n>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.
• Score: 1.6624384368855523
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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