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20072026
most citedEntanglement and thermodynamics after a quantum quench in integrable systems

491 citations · 4.2k across the 70 of their papers we have counts for

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18 papers · 1 filter

cond-mat.str-el2020★ 17 cited

Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems

Miroslav Hopjan, Fabian Heidrich-Meisner, Vincenzo Alba

We investigate a spatial subsystem entropy extracted from the one-particle density matrix (OPDM) in one-dimensional disordered interacting fermions that host a many-body localized…

cond-mat.str-el2018★ 31 cited

Unusual area-law violation in random inhomogeneous systems

Vincenzo Alba, Silvia N. Santalla, Paola Ruggiero +3

The discovery of novel entanglement patterns in quantum many-body systems is a prominent research direction in contemporary physics. Here we provide the example of a spin chain wit…

cond-mat.str-el2016★ 37 cited

Negativity spectrum in 1D gapped phases of matter

Glen Bigan Mbeng, Vincenzo Alba, Pasquale Calabrese

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, th…

cond-mat.str-el2016★ 46 cited

Out-of-equilibrium protocol for Rényi entropies via the Jarzynski equality

Vincenzo Alba

In recent years entanglement measures, such as the von Neumann and the Rényi entropies, provided a unique opportunity to access elusive feature of quantum many-body systems. Howeve…

cond-mat.str-el2016★ 491 cited

Entanglement and thermodynamics after a quantum quench in integrable systems

Vincenzo Alba, Pasquale Calabrese

Entanglement and entropy are key concepts standing at the foundations of quantum and statistical mechanics, respectively. In the last decade the study of quantum quenches revealed…

cond-mat.str-el2016★ 111 cited

The entanglement negativity in random spin chains

Paola Ruggiero, Vincenzo Alba, Pasquale Calabrese

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.…

cond-mat.str-el2015★ 43 cited

The quench action approach in finite integrable spin chains

Vincenzo Alba, Pasquale Calabrese

We consider the problem of constructing the stationary state following a quantum quench, using the exact overlaps for finite size integrable models. We focus on the isotropic Heise…

cond-mat.str-el2015★ 39 cited

Overlap distributions for quantum quenches in the anisotropic Heisenberg chain

Paolo P. Mazza, Jean-Marie Stéphan, Elena Canovi +3

The dynamics after a quantum quench is determined by the weights of the initial state in the eigenspectrum of the final Hamiltonian, i.e., by the distribution of overlaps in the en…

cond-mat.str-el2015★ 10 cited

Simulating the Generalized Gibbs Ensemble (GGE): a Hilbert space Monte Carlo approach

Vincenzo Alba

By combining classical Monte Carlo and Bethe ansatz techniques we devise a numerical method to construct the Truncated Generalized Gibbs Ensemble (TGGE) for the spin-1/2 isotropic…

cond-mat.str-el2014★ 83 cited

Phase diagram of the J1-J2 Heisenberg model on the kagome lattice

Fabian Kolley, Stefan Depenbrock, Ian P. McCulloch +2

We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus…

cond-mat.str-el2014★ 163 cited

Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains

Vincenzo Alba

We investigate the eigenstate thermalization hypothesis (ETH) in integrable models, focusing on the spin-1/2 isotropic Heisenberg (XXX) chain. We provide numerical evidence that ET…

cond-mat.str-el2014★ 59 cited

Bound states and entanglement in the excited states of quantum spin chains

Jan Mölter, Thomas Barthel, Ulrich Schollwöck +1

We investigate entanglement properties of the excited states of the spin-1/2 Heisenberg (XXX) chain with isotropic antiferromagnetic interactions, by exploiting the Bethe ansatz so…

cond-mat.str-el2014★ 88 cited

Entanglement spreading after a geometric quench in quantum spin chains

Vincenzo Alba, Fabian Heidrich-Meisner

We investigate the entanglement spreading in the anisotropic spin-1/2 Heisenberg (XXZ) chain after a geometric quench. This corresponds to a sudden change of the geometry of the ch…

cond-mat.str-el2013★ 76 cited

Entanglement negativity via replica trick: a Quantum Monte Carlo approach

Chia-Min Chung, Vincenzo Alba, Lars Bonnes +2

Motivated by recent developments in conformal field theory (CFT), we devise a Quantum Monte Carlo (QMC) method to calculate the moments of the partially transposed reduced density…

cond-mat.str-el2013★ 14 cited

Bethe ansatz description of edge-localization in the open-boundary XXZ spin chain

Vincenzo Alba, Kush Saha, Masudul Haque

At large values of the anisotropy Δ, the open-boundary Heisenberg spin-1/2 chain has eigenstates displaying localization at the edges. We present a Bethe ansatz description of this…

cond-mat.str-el2012★ 89 cited

Entanglement spectrum of the two dimensional Bose-Hubbard model

Vincenzo Alba, Masudul Haque, Andreas M. Laeuchli

We study the entanglement spectrum (ES) of the Bose-Hubbard model on the two dimensional square lattice at unit filling, both in the Mott insulating and in the superfluid phase. In…

cond-mat.str-el2012★ 33 cited

Entanglement spectrum of the Heisenberg XXZ chain near the ferromagnetic point

Vincenzo Alba, Masudul Haque, Andreas M. Laeuchli

We study the entanglement spectrum (ES) of a finite XXZ spin 1/2 chain in the limit Δ-> -1^+ for both open and periodic boundary conditions. At Δ=-1 (ferromagnetic point) the model…

cond-mat.str-el2011★ 82 cited

Boundary-locality and perturbative structure of entanglement spectra in gapped systems

Vincenzo Alba, Masudul Haque, Andreas M. Laeuchli

The entanglement between two parts of a many-body system can be characterized in detail by the entanglement spectrum. Focusing on gapped phases of one-dimensional systems, we show…