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 …

Symmetry decomposition of negativity of massless free fermions

S Murciano, R Bonsignori, P Calabrese - SciPost Physics, 2021 - scipost.org
We consider the problem of symmetry decomposition of the entanglement negativity in free
fermionic systems. Rather than performing the standard partial transpose, we use the partial …

Entanglement negativity in extended systems: A field theoretical approach

P Calabrese, J Cardy, E Tonni - Journal of Statistical Mechanics …, 2013 - iopscience.iop.org
We report on a systematic approach for the calculation of the negativity in the ground state of
a one-dimensional quantum field theory. The partial transpose ${\rho} _ {A}^{{T} _ {2}} $ of …

Finite temperature entanglement negativity in conformal field theory

P Calabrese, J Cardy, E Tonni - Journal of Physics A …, 2014 - iopscience.iop.org
We consider the logarithmic negativity of a finite interval embedded in an infinite one
dimensional system at finite temperature. We focus on conformal invariant systems and we …

Thermometry of strongly correlated fermionic quantum systems using impurity probes

G Mihailescu, S Campbell, AK Mitchell - Physical Review A, 2023 - APS
We study quantum-impurity models as a platform for quantum thermometry. A single
quantum spin-1 2 impurity is coupled to an explicit, structured, fermionic thermal sample …

Partial time-reversal transformation and entanglement negativity in fermionic systems

H Shapourian, K Shiozaki, S Ryu - Physical Review B, 2017 - APS
The partial transpose of density matrices in many-body quantum systems, in which one
takes the transpose only for a subsystem of the full Hilbert space, has been recognized as a …

Entanglement negativity after a global quantum quench

A Coser, E Tonni, P Calabrese - Journal of Statistical Mechanics …, 2014 - iopscience.iop.org
We study the time evolution of the logarithmic negativity after a global quantum quench. In a
1+ 1-dimensional conformal invariant field theory, we consider the negativity between two …

Entanglement negativity spectrum of random mixed states: A diagrammatic approach

H Shapourian, S Liu, J Kudler-Flam, A Vishwanath - PRX Quantum, 2021 - APS
The entanglement properties of random pure states are relevant to a variety of problems
ranging from chaotic quantum dynamics to black-hole physics. The averaged bipartite …

Machine-learning-assisted many-body entanglement measurement

J Gray, L Banchi, A Bayat, S Bose - Physical review letters, 2018 - APS
Entanglement not only plays a crucial role in quantum technologies, but is key to our
understanding of quantum correlations in many-body systems. However, in an experiment …

On the partial transpose of fermionic Gaussian states

V Eisler, Z Zimborás - New Journal of Physics, 2015 - iopscience.iop.org
We consider Gaussian states of fermionic systems and study the action of the partial
transposition on the density matrix. It is shown that, with a suitable choice of basis, these …