Colloquium: Area laws for the entanglement entropy

J Eisert, M Cramer, MB Plenio - Reviews of modern physics, 2010 - APS
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

Entanglement in many-body systems

L Amico, R Fazio, A Osterloh, V Vedral - Reviews of modern physics, 2008 - APS
Recent interest in aspects common to quantum information and condensed matter has
prompted a flurry of activity at the border of these disciplines that were far distant until a few …

Quantum entanglement in neural network states

DL Deng, X Li, S Das Sarma - Physical Review X, 2017 - APS
Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an
unprecedented perspective for solving intricate quantum many-body problems …

Volume-to-area law entanglement transition in a non-Hermitian free fermionic chain

Y Le Gal, X Turkeshi, M Schirò - SciPost Physics, 2023 - scipost.org
We consider the dynamics of the non-Hermitian Su-Schrieffer-Heeger model arising as the
no-click limit of a continuously monitored free fermion chain where particles and holes are …

Entanglement and correlation spreading in non-Hermitian spin chains

X Turkeshi, M Schiró - Physical Review B, 2023 - APS
Non-Hermitian quantum many-body systems are attracting widespread interest for their
exotic properties, including unconventional quantum criticality and topology. Here, we study …

Entanglement entropy and conformal field theory

P Calabrese, J Cardy - Journal of physics a: mathematical and …, 2009 - iopscience.iop.org
We review the conformal field theory approach to entanglement entropy in 1+ 1 dimensions.
We show how to apply these methods to the calculation of the entanglement entropy of a …

Aspects of holographic entanglement entropy

S Ryu, T Takayanagi - Journal of High Energy Physics, 2006 - iopscience.iop.org
This is an extended version of our short report [1], where a holographic interpretation of
entanglement entropy in conformal field theories is proposed from AdS/CFT …

[書籍][B] An introduction to integrable techniques for one-dimensional quantum systems

F Franchini - 2017 - Springer
These notes are the write-up and extension of the lectures I gave over a few years for a class
on “Introduction to Bethe Ansatz” within the Ph. D. program in Statistical Physics at SISSA …

Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

M Lewenstein, A Sanpera, V Ahufinger… - Advances in …, 2007 - Taylor & Francis
We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

Evolution of entanglement entropy in one-dimensional systems

P Calabrese, J Cardy - Journal of Statistical Mechanics: Theory …, 2005 - iopscience.iop.org
We study the unitary time evolution of the entropy of entanglement of a one-dimensional
system between the degrees of freedom in an interval of length and its complement, starting …