Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit

Autor:	Granet, Etienne, Zhang, Carolyn, Dreyer, Henrik
Rok vydání:	2022
Předmět:	Quantum Physics Condensed Matter - Statistical Mechanics Condensed Matter - Strongly Correlated Electrons
Zdroj:	Phys. Rev. Lett. 130, 230401 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.130.230401
Popis:	We consider Gaussian quantum circuits that alternate unitary gates and post-selected weak measurements, with spatial translation symmetry and time periodicity. We show analytically that such models can host different kinds of measurement-induced phase transitions detected by entanglement entropy, by mapping the time evolution and weak measurements to M\"obius transformations. We demonstrate the existence of a log-law to area-law transition, as well as a volume-law to area-law transition. For the latter, we compute the critical exponent $\nu$ for the Hartley, von Neumann and R\'enyi entropies exactly. Comment: 5 pages, 2 figures, 6 pages of supplemental material. Updated Fig. 2 and added Ref. 29
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.10584 Zobrazit plný text záznamu View this record from Arxiv