学术活动
理论物理
Maximal entanglement velocity implies dual unitarity
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主讲人: Tianci Zhou (MIT)
地点: Zoom ID: 963 5796 8034 Password: 125125
时间: 2023年3月1日(星期三)9:00-10:00
主持 联系人: Zhicheng Yang(zcyang19@pku.edu.cn)


Abstract:

A global quantum quench can be modeled by a quantum circuit with local unitary gates. In general, entanglement grows linearly at a rate given by entanglement velocity. Locality yields a finite light cone, which bounds the velocity. I will show that the unitary interactions achieving the maximal rate must remain unitary if we exchange the space and time directions – a property known as dual unitarity. The results are robust: approximate maximal entanglement velocity also implies approximate dual unitarity. Furthermore, such maximal entanglement velocity is always accompanied by a specific dynamical pattern of entanglement, which yields simpler analyses of several known exactly solvable models.