Carlo Vanoni

Carlo Vanoni

Postdoctoral researcher at the Department of Physics of Princeton University

Posts by Collection

publications

Average optimal cost for the Euclidean TSP in one dimension

Published in Journal of Physics A: Mathematical and Theoretical, 2019

We characterize the optimal tour and compute the average optimal cost for the one-dimensional Euclidean traveling salesman problem with randomly distributed cities.

Recommended citation: Caracciolo, S., Di Gioacchino, A., Malatesta, E. M., and Vanoni, C. (2019). "Average optimal cost for the Euclidean TSP in one dimension." Journal of Physics A: Mathematical and Theoretical 52, 264003.
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Localization in the Discrete Non-linear Schrödinger Equation and Geometric Properties of the Microcanonical Surface

Published in Journal of Statistical Physics, 2022

We show that localization in the classical discrete nonlinear Schrödinger equation arises from geometric properties of the microcanonical potential energy surface and is associated with a spectral transition of the Laplacian.

Recommended citation: Arezzo, C., Balducci, F., Piergallini, R., Scardicchio, A., and Vanoni, C. (2022). "Localization in the Discrete Non-linear Schrödinger Equation and Geometric Properties of the Microcanonical Surface." Journal of Statistical Physics 186(2), 24.
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Localization in the Discrete Non-Linear Schrödinger Equation and geometric properties of the microcanonical surface

Published in APS March Meeting Abstracts, 2022

We present recent results on relaxation to equilibrium and dynamical localization in the classical discrete nonlinear Schrödinger equation, including mean-field fully connected models.

Recommended citation: Balducci, F., Scardicchio, A., Arezzo, C., Vanoni, C., and Piergallini, R. (2022). "Localization in the Discrete Non-Linear Schrödinger Equation and geometric properties of the microcanonical surface." APS March Meeting Abstracts, N08.008.
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Localization and Melting of Interfaces in the Two-Dimensional Quantum Ising Model

Published in Physical Review Letters, 2022

We study localization and melting transitions of interfaces in the two-dimensional quantum Ising model and characterize their dynamical and structural properties.

Recommended citation: Balducci, F., Gambassi, A., Lerose, A., Scardicchio, A., and Vanoni, C. (2022). "Localization and Melting of Interfaces in the Two-Dimensional Quantum Ising Model." Physical Review Letters 129, 120601.
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Slow melting of a disordered quantum crystal

Published in Physical Review B, 2023

We investigate the slow melting dynamics of a disordered quantum crystal and identify the mechanisms controlling relaxation.

Recommended citation: Balducci, F., Scardicchio, A., and Vanoni, C. (2023). "Slow melting of a disordered quantum crystal." Physical Review B 107, 024201.
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Interface dynamics in the two-dimensional quantum Ising model

Published in Physical Review B, 2023

We study the dynamics of interfaces in the two-dimensional quantum Ising model and characterize their relaxation and transport properties.

Recommended citation: Balducci, F., Gambassi, A., Lerose, A., Scardicchio, A., and Vanoni, C. (2023). "Interface dynamics in the two-dimensional quantum Ising model." Physical Review B 107, 024306.
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A hydrodynamic approach to Stark localization

Published in Journal of Statistical Mechanics: Theory and Experiment, 2023

We revisit Stark localization using generalized hydrodynamics and derive analytical predictions for densities, currents, entanglement, and full counting statistics.

Recommended citation: Capizzi, L., Vanoni, C., Calabrese, P., and Gambassi, A. (2023). "A hydrodynamic approach to Stark localization." Journal of Statistical Mechanics: Theory and Experiment 2023(7), 073104.
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Renormalization group analysis of the Anderson model on random regular graphs

Published in Proceedings of the National Academy of Sciences, 2024

We develop a renormalization-group framework for the Anderson model on random regular graphs and explain unusual finite-size scaling of spectral and dynamical observables near the localization transition.

Recommended citation: Vanoni, C., Altshuler, B. L., Kravtsov, V. E., and Scardicchio, A. (2024). "Renormalization group analysis of the Anderson model on random regular graphs." Proceedings of the National Academy of Sciences 121(29), e2401955121.
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Dynamical properties of dense disordered stealthy hyperuniform packings

Published in APS March Meeting, 2025

We introduce dense disordered stealthy hyperuniform packings with soft-core repulsion and study their dynamical properties, including effective dielectric response and diffusion spreadability.

Recommended citation: Vanoni, C., Kim, J., Steinhardt, P. J., and Torquato, S. (2025). "Dynamical properties of dense disordered stealthy hyperuniform packings." APS March Meeting, Oral Presentation.
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Scaling analysis and renormalization group on the mobility edge in the quantum random energy model

Published in Physical Review B, 2025

We perform a scaling and renormalization-group analysis of the mobility edge in the quantum random energy model.

Recommended citation: Balducci, F., Bracci Testasecca, G., Niedda, J., Scardicchio, A., and Vanoni, C. (2025). "Scaling analysis and renormalization group on the mobility edge in the quantum random energy model." Physical Review B 111, 214206.
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Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packings

Published in Physical Review E, 2025

We study the dynamical response of particulate composites derived from ultradense stealthy hyperuniform sphere packings.

Recommended citation: Vanoni, C., Kim, J., Steinhardt, P. J., and Torquato, S. (2025). "Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packings." Physical Review E 112, 015406.
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Renormalization group for Anderson localization on high-dimensional lattices

Published in Proceedings of the National Academy of Sciences, 2025

We develop a renormalization-group framework to analyze Anderson localization on high-dimensional lattices and connect low-dimensional results with infinite-dimensional limits.

Recommended citation: Altshuler, B. L., Kravtsov, V. E., Scardicchio, A., Sierant, P., and Vanoni, C. (2025). "Renormalization group for Anderson localization on high-dimensional lattices." Proceedings of the National Academy of Sciences 122(35), e2423763122.
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Renormalization group analysis of the many-body localization transition in the random-field XXZ chain

Published in Physical Review B, 2025

We develop a renormalization-group description of the many-body localization transition in the random-field XXZ spin chain.

Recommended citation: Niedda, J., Bracci Testasecca, G., Magnifico, G., Balducci, F., Vanoni, C., and Scardicchio, A. (2025). "Renormalization group analysis of the many-body localization transition in the random-field XXZ chain." Physical Review B 112, 144201.
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Scaling Theory of Fading Ergodicity

Published in Physical Review Letters, 2025

We develop a scaling theory describing the gradual loss of ergodicity in interacting quantum systems.

Recommended citation: Światek, R., Hopjan, M., Vanoni, C., Scardicchio, A., and Vidmar, L. (2025). "Scaling Theory of Fading Ergodicity." Physical Review Letters 135, 170401.
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Effective delocalization in the one-dimensional Anderson model with stealthy disorder

Published in Physical Review Letters (Editors Suggestion), 2026

We show that stealthy disorder can induce effective delocalization in the one-dimensional Anderson model and analyze the resulting transport and spectral properties.

This article was featured on the homepages of Princeton University, the Department of Physics, and the Department of Chemistry. Read the Research Highlight here.

Recommended citation: Vanoni, C., Karcher, J., Rechtsman, M. C., Altshuler, B. L., Steinhardt, P. J., and Torquato, S. (2026). "Effective delocalization in the one-dimensional Anderson model with stealthy disorder." Phys. Rev. Lett. 136, 150404.
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Resonance Proliferation Across Localization Transitions

Published in arXiv, 2026

We analyze localization transitions using the Statistical Jacobi Approximation, deriving a phase diagram from the distribution of resonances at different frequencies

Recommended citation: Vanoni, C., Long, D. M., Chandran, A. (2026). "Resonance Proliferation Across Localization Transitions." arXiv:2605.05445
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Semi-fractality and localization on a chiral Cayley tree

Published in arXiv, 2026

We study the emergence of semi-fractality, an intermediate ergodic-multifractal regime, on a Cayley tree with chiral symmetry.

Recommended citation: Vanoni, C., Kravtsov, V. E., Altshuler, B. L. (2026). "Semi-fractality and localization on a chiral Cayley tree." arXiv:2607.18179 .
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Analysis of Conjectural Improvements to Minkowski’s Lower Bound on the Sphere Packing Density

Published in arXiv, 2026

We derive a family of polynomial improvements to Minkowski’s lower bound on the maximal packing fraction in high dimensions, and its approach to the Torquato–Stillinger exponential improvement

Recommended citation: Vanoni, C., Guo, A., Torquato, S. (2026). "Analysis of Conjectural Improvements to Minkowski’s Lower Bound on the Sphere Packing Density." arXiv:2608.00920 .
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Inferring stealthy hyperuniform correlations from quantum transport

Published in arXiv, 2026

We propose a method for obtaining hyperuniform correlations from transport data in quantum systems

Recommended citation: Costa, N. C., Ferreira, M. S., Lewenkopf, C., Pinheiro, F. A., Steinhardt, P. J., Torquato, S., Vanoni, C. (2026). "Inferring stealthy hyperuniform correlations from quantum transport." arXiv:2608.11188 .
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Quantum transmission in 1D disordered stealthy hyperuniform Kronig–Penney-like models

Published in arXiv, 2026

We show that SHU positional disorder suppresses one-dimensional quantum localization by canceling lower-order scattering contributions and reducing the leading fourth-order contribution to the Lyapunov exponent.

Recommended citation: Yuan, S., Vanoni, C., Torquato, S. (2026). "Quantum transmission in 1D disordered stealthy hyperuniform Kronig--Penney-like models." arXiv:2610.02501 .
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talks

teaching

Lesson on Classical Mechanics

Lesson, Liceo Scientifico Viale dei Tigli, 2016

Preparation course for the second level competition of the Physics Olympics

Lesson on Classical Mechanics

Lesson, Liceo Scientifico Viale dei Tigli, 2017

Preparation course for the second level competition of the Physics Olympics

Lesson on Electromagnetism

Lesson, Liceo Scientifico Viale dei Tigli, 2018

Preparation course for the second level competition of the Physics Olympics

Lesson on Electromagnetism

Lesson, Liceo Scientifico Viale dei Tigli, 2019

Preparation course for the second level competition of the Physics Olympics

Mentor in the ReMatch program

Mentoring, Princeton University, 2024

ReMatch is a research-mentoring program designed to connect undergraduate students, graduate students, and postdoctoral researchers through their shared interest in academic research.