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 …
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
Quantum entanglement marks a definitive feature of topological states. However, the
entanglement spectrum remains insufficiently explored for topological states without a bulk …
entanglement spectrum remains insufficiently explored for topological states without a bulk …
Symmetry protection of topological phases in one-dimensional quantum spin systems
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 …
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
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 …
Luttinger liquids and 2D free and interacting Fermi and non-Fermi liquids emerging at …
Wilson-loop characterization of inversion-symmetric topological insulators
The ground state of translationally invariant insulators comprises bands which can assume
topologically distinct structures. There are few known examples where this distinction is …
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
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 …
described by a chiral (1+ 1)-dimensional conformal field theory, such as, eg, a general …
Bipartite fluctuations as a probe of many-body entanglement
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 …
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
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 …
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
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 …
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
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 …
dimensional locally interacting half-integer spin chain with translation and spin rotation …