Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions
University of Chicago（芝加哥大学）；Boston University（波士顿大学）；University of Oxford（牛津大学）；University of Montenegro（黑山大学）；Fudan University（复旦大学）；Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS)（上海数学与交叉学科研究院）
Minjae Cho, Colin Oscar Nancarrow, Petar Tadić, Yuan Xin
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.
Signatures of a quantum stabilized fluctuating phase and critical dynamics in a kinetically-constrained open many-body system with two absorbing states
Bootstrapping Symmetries in Quantum Many-Body Systems from the Cross Spectral Form Factor
Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences（中国科学院大学理论科学研究所）；Department of Physics, Princeton University（普林斯顿大学物理系）；Philippe Meyer Institute, Physics Department, École Normale Supérieure (ENS), Université PSL（巴黎高等师范学校PSL大学物理系菲利普·迈耶研究所）
University of Tokyo（东京大学）；The Hong Kong University of Science and Technology（香港科技大学）；RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS)（理化学研究所交叉理论数学科学中心(iTHEMS)）；Center for Theoretical Condensed Matter Physics（凝聚态物理理论研究中心）
Measurement-and Feedback-Driven Non-Equilibrium Phase Transitions on a Quantum Processor
School of Physics, Peking University（北京大学物理学院）；International Quantum Academy, Shenzhen（深圳国际量子研究院）；Southern University of Science and Technology, Shenzhen（南方科技大学）；Shenzhen Branch, Hefei National Laboratory（合肥国家实验室深圳分室）；Department of Physics, Boston College（波士顿学院物理系）
Entanglement-enabled Criticality in One-dimensional Quantum Contact Process
National Laboratory of Solid State Microstructures and School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University（南京大学固体微结构物理国家重点实验室和物理学院，先进微结构协同创新中心）；School of Physics and Astronomy, and Centre for the Mathematics and Theoretical Physics of Quantum nonequilibrium Systems, University of Nottingham（诺丁汉大学物理与天文学院及量子非平衡系统数学与理论物理中心）；Hefei National Laboratory（合肥国家实验室）
