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Higher-Form Symmetries under Weak Measurement
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-05-14 , DOI: 10.1103/physrevlett.132.200402 Kaixiang Su 1 , Nayan Myerson-Jain 1 , Chong Wang 2 , Chao-Ming Jian 3 , Cenke Xu 1
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-05-14 , DOI: 10.1103/physrevlett.132.200402 Kaixiang Su 1 , Nayan Myerson-Jain 1 , Chong Wang 2 , Chao-Ming Jian 3 , Cenke Xu 1
Affiliation
We aim to address the following question: if we start with a quantum state with a spontaneously broken higher-form symmetry, what is the fate of the system under weak local quantum measurements? We demonstrate that under certain conditions, a phase transition can be driven by weak measurements, which suppresses the spontaneous breaking of the 1-form symmetry and weakens the 1-form symmetry charge fluctuation. We analyze the nature of the transitions employing the tool of duality, and we demonstrate that some of the transitions driven by weak measurement enjoy a line of fixed points with self-duality.
中文翻译:
弱测量下的高阶对称性
我们的目标是解决以下问题:如果我们从具有自发破缺的更高形式对称性的量子态开始,那么在弱局域量子测量下系统的命运是什么?我们证明,在某些条件下,相变可以由弱测量驱动,从而抑制 1 型对称性的自发破缺并削弱 1 型对称性电荷涨落。我们利用对偶性工具分析了转变的本质,并证明了一些由弱测量驱动的转变享有一条具有自对偶性的不动点线。
更新日期:2024-05-15
中文翻译:
弱测量下的高阶对称性
我们的目标是解决以下问题:如果我们从具有自发破缺的更高形式对称性的量子态开始,那么在弱局域量子测量下系统的命运是什么?我们证明,在某些条件下,相变可以由弱测量驱动,从而抑制 1 型对称性的自发破缺并削弱 1 型对称性电荷涨落。我们利用对偶性工具分析了转变的本质,并证明了一些由弱测量驱动的转变享有一条具有自对偶性的不动点线。