activity
20142026
most citedShift-invert diagonalization of large many-body localizing spin chains

119 citations · 621 across the 16 of their papers we have counts for

collaborators

16 papers

quant-ph2026

Observable Estimation in the Absence of Classical Verification

Samantha V. Barron, Bradley Mitchell, Vinay Tripathi +45

The predictive success of quantum mechanics underpins many areas of modern science, even as the exact simulation of large, interacting quantum systems remains beyond the reach of c…

quant-ph2024★ 15 cited

Dynamical simulations of many-body quantum chaos on a quantum computer

Laurin E. Fischer, Matea Leahy, Andrew Eddins +16

Quantum circuits with local unitaries have emerged as a rich playground for the exploration of many-body quantum dynamics of discrete-time systems. While the intrinsic locality mak…

cond-mat.stat-mech2023★ 4 cited

Identifying vegetation patterns for a qualitative assessment of land degradation using a cellular automata model and satellite imagery

Hediye Yarahmadi, Yves Desille, John Goold +1

We aim to identify the spatial distribution of vegetation and its growth dynamics with the purpose of obtaining a qualitative assessment of vegetation characteristics tied to its c…

quant-ph2021★ 54 cited

Extensive multipartite entanglement from su(2) quantum many-body scars

Jean-Yves Desaules, Francesca Pietracaprina, Zlatko Papić +2

Recent experimental observation of weak ergodicity breaking in Rydberg atom quantum simulators has sparked interest in quantum many-body scars - eigenstates which evade thermalisat…

cond-mat.dis-nn2021★ 29 cited

Quantum dynamics in the interacting Fibonacci chain

Cecilia Chiaracane, Francesca Pietracaprina, Archak Purkayastha +1

Quantum dynamics on quasiperiodic geometries has recently gathered significant attention in ultra-cold atom experiments where non trivial localised phases have been observed. One s…

cond-mat.dis-nn2020★ 21 cited

Probing many-body localization in a disordered quantum dimer model on the honeycomb lattice

Francesca Pietracaprina, Fabien Alet

We numerically study the possibility of many-body localization transition in a disordered quantum dimer model on the honeycomb lattice. By using the peculiar constraints of this mo…

quant-ph2019★ 3 cited

Logarithmic growth of local entropy and total correlations in many-body localized dynamics

Fabio Anza, Francesca Pietracaprina, John Goold

The characterizing feature of a many-body localized phase is the existence of an extensive set of quasi-local conserved quantities with an exponentially localized support. This str…

cond-mat.dis-nn2019★ 33 cited

Hilbert-space fragmentation, multifractality, and many-body localization

Francesca Pietracaprina, Nicolas Laflorencie

Investigating many-body localization (MBL) using exact numerical methods is limited by the exponentialgrowth of the Hilbert space. However, localized eigenstates display multifract…

cond-mat.dis-nn2018★ 69 cited

Anderson transition on the Bethe lattice: an approach with real energies

Giorgio Parisi, Saverio Pascazio, Francesca Pietracaprina +2

We study the Anderson model on the Bethe lattice by working directly with propagators at real energies . We introduce a novel criterion for the localization-delocalization trans…

cond-mat.dis-nn2018★ 42 cited

Mean-field model for the density of states of jammed soft spheres

Fernanda P. C. Benetti, Giorgio Parisi, Francesca Pietracaprina +1

We propose a class of mean-field models for the isostatic transition of systems of soft spheres, in which the contact network is modeled as a random graph and each contact is assoc…

cond-mat.dis-nn2018★ 119 cited

Shift-invert diagonalization of large many-body localizing spin chains

Francesca Pietracaprina, Nicolas Macé, David J. Luitz +1

We provide a pedagogical review on the calculation of highly excited eigenstates of disordered interacting quantum systems which can undergo a many-body localization (MBL) transiti…

cond-mat.dis-nn2016★ 15 cited

Total correlations of the diagonal ensemble as a generic indicator for ergodicity breaking in quantum systems

Francesca Pietracaprina, Christian Gogolin, John Goold

The diagonal ensemble is the infinite time average of a quantum state following unitary dynamics. In analogy to the time average of a classical phase space dynamics, it is intimate…

cond-mat.dis-nn2016★ 24 cited

Entanglement critical length at the many-body localization transition

Francesca Pietracaprina, Giorgio Parisi, Angelo Mariano +2

We study the details of the distribution of the entanglement spectrum (eigenvalues of the reduced density matrix) of a disordered spin chain exhibiting a many-body localization (MB…

cond-mat.dis-nn2015★ 40 cited

Energy diffusion in the ergodic phase of a many body localizable spin chain

Vipin Kerala Varma, Alessio Lerose, Francesca Pietracaprina +2

The phenomenon of many-body localization in disordered quantum many-body systems occurs when all transport is suppressed despite the fact that the excitations of the system interac…

cond-mat.dis-nn2015★ 91 cited

The forward approximation as a mean field approximation for the Anderson and Many Body Localization transitions

Francesca Pietracaprina, Valentina Ros, Antonello Scardicchio

In this paper we analyze the predictions of the forward approximation in some models which exhibit an Anderson (single-) or many-body localized phase. This approximation, which con…

cond-mat.dis-nn2014★ 62 cited

Localized systems coupled to small baths: from A to Z

D. A. Huse, R. Nandkishore, F. Pietracaprina +2

We investigate what happens if an Anderson localized system is coupled to a small bath, with a discrete spectrum, when the coupling between system and bath is specially chosen so a…