Quantum entanglement in condensed matter systems

N Laflorencie - Physics Reports, 2016 - Elsevier
This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

Universal entanglement spectrum in one-dimensional gapless symmetry protected topological states

XJ Yu, S Yang, HQ Lin, SK Jian - Physical Review Letters, 2024 - APS
Quantum entanglement marks a definitive feature of topological states. However, the
entanglement spectrum remains insufficiently explored for topological states without a bulk …

Symmetry protection of topological phases in one-dimensional quantum spin systems

F Pollmann, E Berg, AM Turner, M Oshikawa - Physical Review B—Condensed …, 2012 - APS
We discuss the characterization and stability of the Haldane phase in integer spin chains on
the basis of simple, physical arguments. We find that an odd-S Haldane phase is a …

Fermion disorder operator at gross-neveu and deconfined quantum criticalities

ZH Liu, W Jiang, BB Chen, J Rong, M Cheng, K Sun… - Physical Review Letters, 2023 - APS
The fermion disorder operator has been shown to reveal the entanglement information in 1D
Luttinger liquids and 2D free and interacting Fermi and non-Fermi liquids emerging at …

Wilson-loop characterization of inversion-symmetric topological insulators

A Alexandradinata, X Dai, BA Bernevig - Physical Review B, 2014 - APS
The ground state of translationally invariant insulators comprises bands which can assume
topologically distinct structures. There are few known examples where this distinction is …

General Relationship between the Entanglement Spectrum and the Edge State Spectrum<? format?> of Topological Quantum States

XL Qi, H Katsura, AWW Ludwig - Physical review letters, 2012 - APS
We consider (2+ 1)-dimensional topological quantum states which possess edge states
described by a chiral (1+ 1)-dimensional conformal field theory, such as, eg, a general …

Bipartite fluctuations as a probe of many-body entanglement

HF Song, S Rachel, C Flindt, I Klich, N Laflorencie… - Physical Review B …, 2012 - APS
We investigate in detail the behavior of the bipartite fluctuations of particle number N ̂ and
spin S ̂ z in many-body quantum systems, focusing on systems where such U (1) charges …

Entanglement spectrum and boundary theories with projected entangled-pair states

JI Cirac, D Poilblanc, N Schuch, F Verstraete - Physical Review B—Condensed …, 2011 - APS
In many physical scenarios, close relations between the bulk properties of quantum systems
and theories associated with their boundaries have been observed. In this work, we provide …

Stable computation of entanglement entropy for two-dimensional interacting fermion systems

G Pan, Y Da Liao, W Jiang, J D'Emidio, Y Qi, ZY Meng - Physical Review B, 2023 - APS
There is no doubt that the information hidden in entanglement entropy (EE), for example, the
n th order Rényi EE, ie, S n A= 1 1− n ln Tr (ρ A n), where ρ A= Tr A¯ ρ is the reduced density …

Reviving the Lieb–Schultz–Mattis theorem in open quantum systems

YN Zhou, X Li, H Zhai, C Li, Y Gu - National Science Review, 2025 - academic.oup.com
In closed systems, the celebrated Lieb–Schultz–Mattis (LSM) theorem states that a one-
dimensional locally interacting half-integer spin chain with translation and spin rotation …