Macroscopic Behavior of Many-Body Quantum Systems

Project Information

MaMBoQ

Grant agreement ID: 802901

DOI

10.3030/802901

Project closed

EC signature date 6 August 2018

Start date 1 February 2019

End date 31 July 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 982 625,00

EU contribution

€ 982 625,00

Coordinated by

SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE
Italy

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (33)

Energy cascade and Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain

Author(s): Matteo Gallone, Antonio Ponno, Stefano Ruffo
Published in: Physical Review E, Issue 110, 2024, ISSN 2470-0045
Publisher: American Physical Society (APS)
DOI: 10.1103/physreve.110.054212

Stochastic Entropy Production: Fluctuation Relation and Irreversibility Mitigation in Non-unital Quantum Dynamics

Author(s): Eliana Fiorelli, Stefano Gherardini, Stefano Marcantoni
Published in: Journal of Statistical Physics, Issue 190, 2023, ISSN 1572-9613
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s10955-023-03118-2

Approaching off-diagonal long-range order for 1 + 1 -dimensional relativistic anyons

Author(s): Luca Fresta, Per Moosavi
Published in: Physical Review B, Issue 103/8, 2021, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.103.085140

Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential

Author(s): Niels Benedikter, Marcello Porta, Benjamin Schlein, Robert Seiringer
Published in: Archive for Rational Mechanics and Analysis, Issue 247, 2023, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-023-01893-6

Dynamics of Mean-Field Fermi Systems with Nonzero Pairing

Author(s): Stefano Marcantoni, Marcello Porta, Julien Sabin
Published in: Annales Henri Poincaré, Issue 26, 2025, Page(s) 2901-2954, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-024-01473-8

Adiabatic Evolution of Low-Temperature Many-Body Systems

Author(s): Rafael L. Greenblatt, Markus Lange, Giovanna Marcelli, Marcello Porta
Published in: Communications in Mathematical Physics, Issue 405, 2024, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-023-04903-6

Improved energy estimates for a class of time-dependent perturbed Hamiltonians

Author(s): Giovanna Marcelli
Published in: Lett Math Phys, Issue 112, 2022, Page(s) 51, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-022-01543-0

Correlation energy of a weakly interacting Fermi gas

Author(s): Niels Benedikter, Phan Thành Nam, Marcello Porta, Benjamin Schlein, Robert Seiringer
Published in: Inventiones mathematicae, Issue 225, 2022, Page(s) 885-979, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-021-01041-5

Bosonization of fermionic many-body dynamics

Author(s): Niels Benedikter, Phan Thành Nam, Marcello Porta, Benjamin Schlein, Robert Seiringer
Published in: Annales Henri Poincaré, 2021, ISSN 1424-0637
Publisher: Birkhauser Verlag

Localization of Generalized Wannier Bases Implies Chern Triviality in Non-periodic Insulators

Author(s): Giovanna Marcelli, Massimo Moscolari, Gianluca Panati
Published in: Annales Henri Poincaré, Issue 24, 2023, Page(s) 895-930, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-022-01232-7

Lyapunov exponent for products of random Ising transfer matrices: the balanced disorder case

Author(s): Giambattista Giacomin, Rafael L. Greenblatt
Published in: ALEA, Lat. Am. J. Probab. Math. Stat., Issue 19, 2022, Page(s) 701–728, ISSN 1980-0436
Publisher: Instituto Nacional de Matematica Pura e Aplicada
DOI: 10.30757/alea.v19-27

Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality

Author(s): Dirk Hundertmark, Michal Jex, Markus Lange
Published in: Forum of Mathematics, Sigma, Issue 11, 2023, ISSN 2050-5094
Publisher: Cambridge University Press (CUP)
DOI: 10.1017/fms.2023.39

Degenerate Perturbation Theory for Models of Quantum Field Theory with Symmetries

Author(s): David Hasler, Markus Lange
Published in: Annales Henri Poincaré, Issue 25, 2024, Page(s) 2489-2545, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-023-01359-1

Effective Dynamics of Extended Fermi Gases in the High-Density Regime

Author(s): Luca Fresta, Marcello Porta, Benjamin Schlein
Published in: Commun. Math. Phys., 2023, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-023-04677-x

Bosonization of Fermionic Many-Body Dynamics

Author(s): Niels Benedikter, Phan Thành Nam, Marcello Porta, Benjamin Schlein, Robert Seiringer
Published in: Annales Henri Poincaré, Issue 23, 2022, Page(s) 1725-1764, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-021-01136-y

Universality in the 2d Quasi-periodic Ising Model and Harris–Luck Irrelevance

Author(s): Matteo Gallone, Vieri Mastropietro
Published in: Communications in Mathematical Physics, Issue 405, 2024, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-024-05092-6

Trotter product formulae for ∗-automorphisms of quantum lattice systems

Author(s): Sven Bachmann, Markus Lange
Published in: Ann. Henri Poincaré, Issue 23, 2022, Page(s) 4463–4487, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-022-01207-8

The zeros of the partition function of the pinning model

Author(s): Rafael L. Greenblatt, Giambattista Giacomin
Published in: Math Phys Anal Geom, Issue 25, 2022, Page(s) 16, ISSN 1385-0172
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11040-022-09428-3

Two dimensional NLS ground states with attractive Coulomb potential and point interaction

Author(s): Filippo Boni, Matteo Gallone
Published in: Journal of Differential Equations, Issue 414, 2024, Page(s) 1-33, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2024.08.076

Energy Correlations of Non-Integrable Ising Models: The Scaling Limit in the Cylinder

Author(s): Giovanni Antinucci, Alessandro Giuliani, Rafael L. Greenblatt
Published in: Communications in Mathematical Physics, Issue 397, 2023, Page(s) 393-483, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-022-04481-z

Supersymmetric Cluster Expansions and Applications to Random Schrödinger Operators

Author(s): Luca Fresta
Published in: Mathematical Physics, Analysis and Geometry, Issue 24/1, 2021, ISSN 1385-0172
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11040-021-09375-5

Anomaly Non-renormalization in Interacting Weyl Semimetals

Author(s): Alessandro Giuliani, Vieri Mastropietro, Marcello Porta
Published in: Communications in Mathematical Physics, Issue 384/2, 2021, Page(s) 997-1060, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04004-2

A Supersymmetric Hierarchical Model for Weakly Disordered 3d Semimetals

Author(s): Giovanni Antinucci, Luca Fresta, Marcello Porta
Published in: Annales Henri Poincaré, Issue 21/11, 2020, Page(s) 3499-3574, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-020-00909-1

The scaling limit of boundary spin correlations in non-integrable Ising models

Author(s): Giulia Cava, Alessandro Giuliani, Rafael Leon Greenblatt
Published in: Journal of Mathematical Physics, Issue 66, 2025, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0235381

Correlation energy of a weakly interacting Fermi gas

Author(s): Niels Benedikter, Phan Thành Nam, Marcello Porta, Benjamin Schlein, Robert Seiringer
Published in: Inventiones mathematicae, Issue 225/3, 2021, Page(s) 885-979, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-021-01041-5

From charge to spin: Analogies and differences in quantum transport coefficients

Author(s): Domenico Monaco; Giovanna Marcelli
Published in: J. Math. Phys., Issue 63, 2022, Page(s) 072102, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.48550/arxiv.2203.08044

Prethermalization and Conservation Laws in Quasi-Periodically Driven Quantum Systems

Author(s): Matteo Gallone, Beatrice Langella
Published in: Journal of Statistical Physics, Issue 191, 2024, ISSN 1572-9613
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s10955-024-03313-9

Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime

Author(s): Luca Fresta, Marcello Porta, Benjamin Schlein
Published in: Communications in Mathematical Physics, Issue 406, 2025, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-025-05393-4

Multi-Channel Luttinger Liquids at the Edge of Quantum Hall Systems

Author(s): Vieri Mastropietro, Marcello Porta
Published in: Commun. Math. Phys., Issue 395, 2022, Page(s) 1097–1173, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-022-04443-5

Discrete and zeta-regularized determinants of the Laplacian on polygonal domains with Dirichlet boundary conditions

Author(s): Rafael L. Greenblatt
Published in: Journal of Mathematical Physics, Issue 64, 2025, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0062138

The Dilute Fermi Gas via Bogoliubov Theory

Author(s): Marco Falconi, Emanuela L. Giacomelli, Christian Hainzl, Marcello Porta
Published in: Annales Henri Poincaré, Issue 22/7, 2021, Page(s) 2283-2353, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-021-01031-6

Symmetries in non-relativistic quantum electrodynamics

Author(s): David Hasler, Markus Lange
Published in: Reviews in Mathematical Physics, Issue 35, 2023, ISSN 0129-055X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129055x23500186

Purely linear response of the quantum Hall current to space-adiabatic perturbations

Author(s): Domenico Monaco; Giovanna Marcelli
Published in: Lett Math Phys, Issue 112, 2022, Page(s) 91, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-022-01574-7

Book chapters (1)

Quantum Systems at the Brink

Author(s): Dirk Hundertmark, Michal Jex, Markus Lange
Published in: Springer INdAM Series, Quantum Mathematics I, 2023, Page(s) 259-273
Publisher: Springer Nature Singapore
DOI: 10.1007/978-981-99-5894-8_10

Other (8)

Symmetries in non-relativistic quantum electrodynamics

Author(s): David Hasler, Markus Lange
Published in: 2023
Publisher: arxiv.org

Adiabatic Evolution of Low-Temperature Many-Body Systems

Author(s): Rafael L. Greenblatt, Markus Lange, Giovanna Marcelli, Marcello Porta
Published in: 2022
Publisher: arxiv.org

Quantum Systems at The Brink

Author(s): Dirk Hundertmark, Michal Jex, Markus Lange
Published in: 2022
Publisher: arxiv.org

Degenerate perturbation theory for models of quantum field theory with symmetries

Author(s): David Hasler, Markus Lange
Published in: 2022
Publisher: arxiv.org

Stochastic entropy production: Fluctuation relation and irreversibility mitigation in non-unital quantum dynamics

Author(s): Eliana Fiorelli, Stefano Gherardini, Stefano Marcantoni
Published in: 2022
Publisher: arxiv.org

Universality in the 2d quasi-periodic Ising model and Harris-Luck irrelevance

Author(s): Matteo Gallone, Vieri Mastropietro
Published in: 2023
Publisher: arxiv.org

Quantum Systems at the Brink: Existence of Bound States, Critical Potentials and Dimensionality

Author(s): Dirk Hundertmark, Michal Jex, Markus Lange
Published in: 2021
Publisher: arxiv.org

Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential

Author(s): Niels Benedikter, Marcello Porta, Benjamin Schlein, Robert Seiringer
Published in: 2021
Publisher: arxiv.org

Non-peer reviewed articles (1)

Non-integrable Ising Models in Cylindrical Geometry: Grassmann Representation and Infinite Volume Limit

Author(s): Giovanni Antinucci, Alessandro Giuliani, Rafael L. Greenblatt
Published in: Annales Henri Poincaré, 2021, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-021-01107-3