A5030631509- Quantum many-body systems
- Theoretical and Computational Physics
- Opinion Dynamics and Social Influence
- Physics of Superconductivity and Magnetism
- Quantum chaos and dynamical systems
- Quantum and electron transport phenomena
- Cold Atom Physics and Bose-Einstein Condensates
- Model Reduction and Neural Networks
- Protein Structure and Dynamics
- Spectroscopy and Quantum Chemical Studies
- Ecosystem dynamics and resilience
- Ecology and Vegetation Dynamics Studies
- Electrowetting and Microfluidic Technologies
- Surface Modification and Superhydrophobicity
- Quantum Information and Cryptography
- Topological Materials and Phenomena
- Neural Networks and Reservoir Computing
- Random Matrices and Applications
- Machine Learning in Materials Science
- Innovative Microfluidic and Catalytic Techniques Innovation
- Neural dynamics and brain function
- Quantum Computing Algorithms and Architecture
- Land Use and Ecosystem Services
- Evolutionary Game Theory and Cooperation
- Semiconductor Quantum Structures and Devices
Trinity College Dublin
2020-2024
Laboratoire de Physique Théorique
2018-2021
University College Dublin
2021
Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes
2018-2020
Université de Toulouse
2018-2020
Université Toulouse III - Paul Sabatier
2018-2020
Centre National de la Recherche Scientifique
2018-2020
Sapienza University of Rome
2017-2019
Istituto Nazionale di Fisica Nucleare, Sezione di Trieste
2015-2017
Scuola Internazionale Superiore di Studi Avanzati
2015-2017
We provide a pedagogical review on the calculation of highly excited eigenstates disordered interacting quantum systems which can undergo many-body localization (MBL) transition, using shift-invert exact diagonalization. also an example code at https://bitbucket.org/dluitz/sinvert_mbl. Through detailed analysis simulational parameters random field Heisenberg spin chain, we practical guide how to perform efficient computations. present data for mid-spectrum chains sizes up L=26 <mml:math...
In this paper we analyze the predictions of forward approximation in some models which exhibit an Anderson (single-) or many-body localized phase. This approximation, consists summing over amplitudes only shortest paths locator expansion, is known to over-estimate critical value disorder determines onset Nevertheless, results provided by become more and accurate as local coordination (dimensionality) graph, defined hopping matrix, made larger. sense, can be regarded a mean field theory for...
Recent experimental observation of weak ergodicity breaking in Rydberg atom quantum simulators has sparked interest many-body scars-eigenstates which evade thermalization at finite energy densities due to novel mechanisms that do not rely on integrability or protection by a global symmetry. A salient feature some scars is their subvolume bipartite entanglement entropy. In this Letter, we demonstrate such exact also possess extensive multipartite structure if they stem from an su(2) spectrum...
We investigate what happens if an Anderson localized system is coupled to a small bath, with discrete spectrum, when the coupling between and bath specially chosen so as never localize bath. find that effect of on localization in nonmonotonic function At weak couplings, facilitates transport by allowing ``borrow'' energy from But, above certain produces because orthogonality catastrophe, whereby ``dresses'' hence suppresses hopping matrix element. call this last regime ``Zeno localization''...
We propose a class of mean-field models for the isostatic transition systems soft spheres, in which contact network is modeled as random graph and each associated to $d$ degrees freedom. study such hypostatic, isostatic, hyperstatic regimes. The density states evaluated by both cavity method exact diagonalization dynamical matrix. show that model correctly reproduces main features real packings and, moreover, it predicts presence localized modes near lower band edge. Finally, behavior...
The phenomenon of many-body localization in disordered quantum manybody systems occurs when all transport is suppressed despite the excitations system being interacting.In this work we report on numerical simulation autonomous dynamics for Heisenberg chains prepared with an initial inhomogeneity energy density profile.Using exact diagonalisation and a dynamical code based Krylov subspaces are able to simulate up L = 26 spins.We find, surprisingly, breakdown diffusion even before transition...
Quantum dynamics on quasiperiodic geometries has recently gathered significant attention in ultra-cold atom experiments where non trivial localised phases have been observed. One such model is the so called Fibonacci model. In this tight-binding model, non-interacting particles are subject to on-site energies generated by a sequence. This known induce critical states, with continuously varying dynamical exponent, leading anomalous transport. work, we investigate whether diffusion present...
We study the details of distribution entanglement spectrum (eigenvalues reduced density matrix) a disordered spin chain exhibiting many-body localization (MBL) transition. In thermalizing region we identify evolution under increasing system size eigenvalue function, whose thermodynamic limit is close to (but possibly different from) Marchenko–Pastur distribution. From analysis extract correlation length determining minimum enter asymptotic region. find that diverges at MBL discuss nature...
We numerically study the possibility of many-body localization transition in a disordered quantum dimer model on honeycomb lattice. By using peculiar constraints this and state-of-the-art exact diagonalization time evolution methods, we probe both eigenstates dynamical properties conclude existence transition, available length scales (system sizes up to N=108 sites). critically discuss these results their implications.
We study the Anderson model on Bethe lattice by working directly with propagators at real energies E. introduce a novel criterion for localization–delocalization transition based stability of population propagators, and show that it is consistent one obtained through imaginary part self-energy. present an accurate numerical estimate point, as well concise proof asymptotic formula critical disorder lattices large connectivity, given in (1958 Phys. Rev. 109 1492–505). discuss how forward...
The diagonal ensemble is the infinite time average of a quantum state following unitary dynamics in systems without degeneracies. In analogy to classical phase-space dynamics, it intimately related ergodic properties system giving information on spreading initial eigenstates Hamiltonian. this work we apply concept from information, known as total correlations, ensemble. Forming an upper bound multipartite entanglement, quantifies combination both and correlations mixed state. We generalize...
The characterizing feature of a many-body localized phase is the existence an extensive set quasi-local conserved quantities with exponentially support. This structure endows system signature logarithmic in time entanglement growth between spatial partitions. differentiates from Anderson localization, non-interacting model. Experimentally measuring large partitions interacting requires highly non-local measurements which are currently beyond reach experimental technology. In this work we...
We aim to identify the spatial distribution of vegetation and its growth dynamics with purpose obtaining a qualitative assessment characteristics tied condition, productivity health, land degradation. To do so, we compare statistical model surface imagery derived indices. Specifically, analyze stochastic cellular automata data obtained from satellite images, namely using normalized difference index leaf area index. In experimental data, look for areas where is broken into small patches...
Quantum circuits with local unitaries have emerged as a rich playground for the exploration of many-body quantum dynamics discrete-time systems. While intrinsic locality makes them particularly suited to run on current processors, task verification at non-trivial scales is complicated non-integrable Here, we study special class maximally chaotic known dual unitary -- exhibiting unitarity in both space and time that are exact analytical solutions certain correlation functions. With advances...
We analyze the vegetation growth dynamics with a stochastic cellular automata model and in real-world data obtained from satellite images. look for areas where breaks down into clusters, comparing it to percolation transition that happens is an early warning signal of land degradation. use imagery such as Normalized Difference Vegetation Index (NDVI) Leaf Area (LAI). consider periodic effect seasons environmental stress, show numerically how can be resilient high stress during seasonal...