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We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length l and its complement, starting from a pure state which is not an eigenstate of the…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , John Cardy

We use a disordered anti-ferromagnetic spin-1/2 chain with anisotropic exchange coupling to model an array of interacting qubits. All qubits have the same level spacing, except two, which are called the defects of the chain. The level…

Quantum Physics · Physics 2009-11-10 L. F. Santos , G. Rigolin

In this paper, we consider the dynamics of R\'enyi negativities after a quantum quench in the free-boson chain with homogeneous dissipation. Initially we prepare the system in the squeezed thermal state, and then let it evolves under the…

Statistical Mechanics · Physics 2023-10-24 Hui-Huang Chen

Studies of random unitary circuits have shown that the calculation of Renyi entropies of entanglement can be mapped to classical statistical mechanics problems in spacetime. In this paper, we develop an analogous spacetime picture of…

Statistical Mechanics · Physics 2026-03-13 Tobias Swann , Denis Bernard , Adam Nahum

We study the time evolution of superposition of product states of two dressed atoms in a spherical cavity in the extreme situations of an arbitrarily large cavity (free space) and of a small one. In the large-cavity case, the system…

Quantum Physics · Physics 2009-10-15 E. R. Granhen , C. A. Linhares , A. P. C. Malbouisson , J. M. C. Malbouisson

We investigate the spectrum of the partial transpose (negativity spectrum) of two adjacent regions in gapped one-dimensional models. We show that, in the limit of large regions, the negativity spectrum is entirely reconstructed from the…

Strongly Correlated Electrons · Physics 2017-04-18 Glen Bigan Mbeng , Vincenzo Alba , Pasquale Calabrese

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

Entanglement has become central for the characterization of quantum matter both in and out of equilibrium. In a dynamical context entanglement exhibits universal linear temporal growth in generic systems, which stems from the underlying…

Statistical Mechanics · Physics 2020-10-13 Arkadiusz Kosior , Markus Heyl

We investigate the dynamics of the XXZ spin chain after a geometric quench, which is realized by connecting two half-chains prepared in their ground states with zero and maximum magnetizations, respectively. The profiles of magnetization…

Statistical Mechanics · Physics 2019-05-15 Matthias Gruber , Viktor Eisler

We examine the temporal evolution of the modular entropy and capacity (in particular, the fluctuation of the entanglement entropy) for systems of time-dependent oscillators coupled by a (time-dependent) parameter. Such models, through the…

High Energy Physics - Theory · Physics 2023-12-25 K. Andrzejewski

We study the dynamics of the entanglement spectrum, that is the time evolution of the eigenvalues of the reduced density matrices after a bipartition of a one-dimensional spin chain. Starting from the ground state of an initial Hamiltonian,…

Statistical Mechanics · Physics 2014-06-26 G. Torlai , L. Tagliacozzo , G. De Chiara

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 chain. We find that for two arbitrary intervals the…

Strongly Correlated Electrons · Physics 2016-07-27 Paola Ruggiero , Vincenzo Alba , Pasquale Calabrese

Thermal equilibrium states of local quantum many-body systems are notorious for their spatially decaying correlations, which place severe restrictions on the types of many-body entanglement structures that may be observed at finite…

Quantum Physics · Physics 2024-07-24 Shachar Fraenkel , Moshe Goldstein

We study the spreading of entanglement produced by the time evolution of a local fermionic excitation created above the ground state of the XXZ chain. The resulting entropy profiles are investigated via density-matrix renormalization group…

Statistical Mechanics · Physics 2021-01-13 Matthias Gruber , Viktor Eisler

We study solvable spin chains where either fields or couplings vary linearly in space and create a sandwich-like structure of the ground state. We find that the entanglement entropy between two halves of a chain varies logarithmically with…

Statistical Mechanics · Physics 2009-11-13 V. Eisler , F. Igloi , I. Peschel

We analyze fermions after an interaction quantum quench in one spatial dimension and study the growth of the steady state entanglement entropy density under either a spatial mode or particle bipartition. For integrable lattice models, we…

Statistical Mechanics · Physics 2021-11-15 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

We consider the effect of projective measurements on the quench dynamics of the bipartite entanglement entropy in one dimensional free fermionic systems. In our protocol, we consider projective measurements of a $U(1)$ conserved charge, the…

Quantum Physics · Physics 2025-12-15 Riccardo Travaglino , Colin Rylands , Pasquale Calabrese

We investigate entanglement dynamics in continuously monitored open quantum systems featuring current-carrying non-equilibrium states. We focus on a prototypical one-dimensional model of boundary-driven non-interacting fermions with…

Statistical Mechanics · Physics 2022-07-12 Xhek Turkeshi , Lorenzo Piroli , Marco Schirò

We characterize the degree of entanglement of a subsystem of $k$ particles in a $N$-two level system ($k\leq N/2$) initially prepared in a mesoscopic superposition $|\psi>=\int d\theta f(\theta) (|\phi_{1}(\theta)>^{\otimes…

Quantum Physics · Physics 2007-05-23 A. N. Salgueiro

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 statistical ensembles. Unfortunately, its characterization is a…

Statistical Mechanics · Physics 2019-07-31 Vincenzo Alba , Pasquale Calabrese