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 …

Symmetry resolved entanglement in free fermionic systems

R Bonsignori, P Ruggiero… - Journal of Physics A …, 2019 - iopscience.iop.org
We consider the symmetry resolved Rényi entropies in the one dimensional tight binding
model, equivalent to the spin-1/2 XX chain in a magnetic field. We exploit the generalised …

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 in random spin chains

P Ruggiero, V Alba, P Calabrese - Physical Review B, 2016 - APS
We investigate the logarithmic negativity in strongly disordered spin chains in the random-
singlet phase. We focus on the spin-1 2 random Heisenberg chain and the random XX …

Entanglement negativity of fermions: Monotonicity, separability criterion, and classification of few-mode states

H Shapourian, S Ryu - Physical Review A, 2019 - APS
We study quantum information aspects of the fermionic entanglement negativity recently
introduced [H. Shapourian, Phys. Rev. B 95, 165101 (2017) 10.1103/PhysRevB. 95.165101] …

Quantum information dynamics in multipartite integrable systems

V Alba, P Calabrese - Europhysics Letters, 2019 - iopscience.iop.org
In a non-equilibrium many-body system, the quantum information dynamics between non-
complementary regions is a crucial feature to understand the local relaxation towards …

Entanglement spectrum degeneracy and the Cardy formula in 1+ 1 dimensional conformal field theories

V Alba, P Calabrese, E Tonni - Journal of Physics A …, 2017 - iopscience.iop.org
We investigate the effect of a global degeneracy in the distribution of the entanglement
spectrum in conformal field theories in one spatial dimension. We relate the recently found …

[PDF][PDF] Twisted and untwisted negativity spectrum of free fermions

H Shapourian, P Ruggiero, S Ryu, P Calabrese - SciPost Physics, 2019 - scipost.org
A basic diagnostic of entanglement in mixed quantum states is known as the positive partial
transpose (PT) criterion. Such criterion is based on the observation that the spectrum of the …

Finite-temperature entanglement negativity of free fermions

H Shapourian, S Ryu - Journal of Statistical Mechanics: Theory …, 2019 - iopscience.iop.org
The entanglement entropy of free fermions with a Fermi surface is known to obey a
logarithmic scaling and violate the area law in all dimensions. Here, we would like to see …

Entanglement negativity bounds for fermionic Gaussian states

J Eisert, V Eisler, Z Zimborás - Physical Review B, 2018 - APS
The entanglement negativity is a versatile measure of entanglement that has numerous
applications in quantum information and in condensed matter theory. It can not only …