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We derive the quasiparticle picture for the fermionic logarithmic negativity in a tight-binding chain subject to gain and loss dissipation. We focus on the dynamics after the quantum quench from the fermionic N\'eel state. We consider the…

Statistical Mechanics · Physics 2023-10-03 Vincenzo Alba , Federico Carollo

We investigate the entanglement dynamics in a free-fermion chain initially prepared in a Fermi sea and subjected to localized losses (dissipative impurity). We derive a formula describing the dynamics of the entanglement entropies in the…

Statistical Mechanics · Physics 2022-01-12 Vincenzo Alba

We study the entanglement between disjoint subregions in quantum critical systems through the lens of the logarithmic negativity. We work with systems in arbitrary dimensions, including conformal field theories and their corresponding…

Strongly Correlated Electrons · Physics 2024-05-06 Gilles Parez , William Witczak-Krempa

We study the scaling of logarithmic negativity between adjacent subsystems in critical fermion chains with various inhomogeneous modulations through numerically calculating its recently established lower and upper bounds. For random…

Disordered Systems and Neural Networks · Physics 2020-08-19 Gergő Roósz , Zoltán Zimborás , Róbert Juhász

We study the entanglement in the ground state of a chain of free spinless fermions with a single side-coupled impurity. We find a logarithmic scaling for the entanglement entropy of a segment neighboring the impurity. The prefactor of the…

Statistical Mechanics · Physics 2013-05-29 Viktor Eisler , Savannah Sterling Garmon

We study the scaling properties of the ground-state entanglement between finite subsystems of infinite two-dimensional free lattice models, as measured by the logarithmic negativity. For adjacent regions with a common boundary, we observe…

Statistical Mechanics · Physics 2016-04-01 Viktor Eisler , Zoltán Zimborás

We study entanglement properties in a nonequilibrium steady state of a free-fermion chain, that emerges after connecting two half-chains prepared at different temperatures. The entanglement negativity and the R\'enyi mutual information…

Statistical Mechanics · Physics 2023-02-28 Viktor Eisler

We employ a mathematical framework based on the Riemann-Hilbert approach developed in Ref. [1] to study logarithmic negativity of two intervals of free fermions in the case where the size of the intervals as well as the distance between…

Quantum Physics · Physics 2023-05-29 Eldad Bettelheim

We investigate the interplay between unitary dynamics after a quantum quench and localized dissipation in a noninteracting fermionic chain. In particular, we consider the effect of gain and loss processes, for which fermions are added and…

Statistical Mechanics · Physics 2022-02-09 Vincenzo Alba , Federico Carollo

We study the ground-state entanglement Hamiltonian of several disjoint intervals for the massless Dirac fermion on the half-line. Its structure consists of a local part and a bi-local term that couples each point to another one in each…

Statistical Mechanics · Physics 2023-02-08 Federico Rottoli , Sara Murciano , Erik Tonni , Pasquale Calabrese

Logarithmic negativity is a widely used entanglement measure in quantum information theories, which can also be efficiently computed in quantum many-body systems by replica trick or by relating to correlation matrices. In this paper, we…

Quantum Physics · Physics 2024-02-07 Yang-Yang Tang

We investigate symmetry-resolved entanglement in out-of-equilibrium fermionic systems subject to gain and loss dissipation, which preserves the block-diagonal structure of the reduced density matrix. We derive a hydrodynamic description of…

Statistical Mechanics · Physics 2023-12-07 Sara Murciano , Pasquale Calabrese , Vincenzo Alba

The entanglement of non-complementary regions is investigated in an inhomogeneous free-fermion chain through the lens of the fermionic logarithmic negativity. Focus is on the Krawtchouk chain, whose relation to the eponymous orthogonal…

Statistical Mechanics · Physics 2025-06-19 Gabrielle Blanchet , Gilles Parez , Luc Vinet

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 time-reversal transformation which naturally encodes the…

Statistical Mechanics · Physics 2021-05-26 Sara Murciano , Riccarda Bonsignori , Pasquale Calabrese

The negativity Hamiltonian, defined as the logarithm of a partially transposed density matrix, provides an operatorial characterisation of mixed-state entanglement. However, so far, it has only been studied for the mixed-state density…

High Energy Physics - Theory · Physics 2023-07-17 Federico Rottoli , Sara Murciano , Pasquale Calabrese

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 how temperature affects the logarithmic scaling behavior. To this…

Statistical Mechanics · Physics 2019-06-11 Hassan Shapourian , Shinsei Ryu

We consider a quench in a free-fermion chain by joining two homogeneous half-chains via a defect. The time evolution of the entanglement negativity is studied between adjacent segments surrounding the defect. In case of equal initial…

Statistical Mechanics · Physics 2020-05-07 Matthias Gruber , Viktor Eisler

We study the melting of a domain wall in a free-fermionic chain with a localised impurity. We find that the defect enhances quantum correlations in such a way that even the smallest scatterer leads to a linear growth of the entanglement…

Statistical Mechanics · Physics 2023-02-06 Luca Capizzi , Stefano Scopa , Federico Rottoli , Pasquale Calabrese

We study the entanglement in a chain of harmonic oscillators driven out of equilibrium by preparing the two sides of the system at different temperatures, and subsequently joining them together. The steady state is constructed explicitly…

Statistical Mechanics · Physics 2014-12-11 Viktor Eisler , Zoltan Zimboras

We develop a hydrodynamic description for the driven-dissipative dynamics of the entanglement negativity, which quantifies the genuine entanglement in mixed-state systems. We focus on quantum quenches in fermionic and bosonic systems…

Statistical Mechanics · Physics 2024-06-24 Fabio Caceffo , Vincenzo Alba
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