Entanglement transitions from holographic random tensor networks

Article

关键词: AVERAGE ENTROPY;    RENORMALIZATION-GROUP;    CONFORMAL-INVARIANCE;    QUANTUM;    MODEL;   

DOI  :  10.1103/PhysRevB.100.134203

来源: SCIE

【 摘 要 】

We introduce a class of phase transitions separating quantum states with different entanglement features. An example of such an entanglement phase transition is provided by the many-body localization transition in disordered quantum systems, as it separates highly entangled thermal states at weak disorder from many-body localized states with low entanglement at strong disorder. In the spirit of random matrix theory, we describe a simple model for such transitions where a physical quantum many-body system lives at the holographic boundary of a bulk random tensor network. Using a replica trick approach, we map the calculation of the entanglement properties of the boundary system onto the free energy cost of fluctuating domain walls in a classical statistical mechanics model. This allows us to interpret transitions between volume-law and area-law scaling of entanglement as ordering transitions in this statistical mechanics model. Our approach allows us to get an analytic handle on the field theory of these entanglement transitions.

【 授权许可】

Free