Volume-Law to Area-Law Entanglement Transition in a Nonunitary Periodic Gaussian Circuit.
Phys Rev Lett
; 130(23): 230401, 2023 Jun 09.
Article
em En
| MEDLINE
| ID: mdl-37354425
ABSTRACT
We consider Gaussian quantum circuits that alternate unitary gates and postselected weak measurements, with spatial translation symmetry and time p eriodicity. We show analytically that such models can host different kinds of measurement-induced phase transitions detected by entanglement entropy, by mapping the unitary gates and weak measurements onto Möbius transformations. We demonstrate the existence of a log-law to area-law transition, as well as a volume-law to area-law transition at a finite measurement amplitude. For the latter, we compute the critical exponent ν for the Hartley, von Neumann and Rényi entropies exactly.
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1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Entropia
Idioma:
En
Revista:
Phys Rev Lett
Ano de publicação:
2023
Tipo de documento:
Article
País de afiliação:
Estados Unidos