Quantum Many-body Systems and Bose-Einstein Condensation: A Mathematical Physics Perspective
The rigorous mathematical analysis of many-body systems in quantum mechanics has been an important subdiscipline of Mathematical Physics for many decades, and has led to numerous fruitful connections between various aspects of physics and mathematics. The goal of this workshop is to bring together the key players in this and adjacent fields, to discuss the current state-of-the-art as well as possible future directions. We will also use the occasion of the workshop to honor the achievements of Jakob Yngvason, who will celebrate his 80th birthday in 2025.
The workshop is additionally supported by the SFB CRC TRR 352, the ERC-StG MaTCh, the IAMP and the Journal of Mathematical Physics.
Nov. 24, 2025
Nov. 25, 2025
Nov. 26, 2025
Nov. 27, 2025
Nov. 28, 2025
09:00 — 09:30
Registration & Welcome
09:30 — 10:30
Jan Philip Solovej (U of Copenhagen)
Seventy Years of the Mathematical Physics of the Bose Gas
Seventy Years of the Mathematical Physics of the Bose Gas
10:30 — 11:00
Coffee Break
11:00 — 11:40
Benjamin Schlein (U Zurich)
Upper bound for Wu’s correction to the ground state energy of a dilute Bose gas
Upper bound for Wu’s correction to the ground state energy of a dilute Bose gas
11:45 — 12:25
Arnaud Triay (LMU Munich)
The free energy of dilute Bose gases at low temperature
The free energy of dilute Bose gases at low temperature
12:30 — 14:00
Lunch Break
14:00 — 15:00
Stefano Giorgini (U of Trento)
Exact solution of many-body problems using quantum Monte-Carlo: applications to ultracold atoms
Exact solution of many-body problems using quantum Monte-Carlo: applications to ultracold atoms
15:00 — 15:30
coffee break
15:30 — 16:10
Andreas Deuchert (Virginia Tech)
Recent developments in the analysis of Bose gases at positive temperature.
Recent developments in the analysis of Bose gases at positive temperature.
16:15 — 16:55
Valentin Zagrebnov (U Aix-Marseille)
About the observation of Bose-Einstein Condensation in Liquid 4^He
About the observation of Bose-Einstein Condensation in Liquid 4^He
17:00
Reception at the Common Room
09:00 — 09:40
Bruno Nachtergaele (UC Davis)
The Charge Gap, the Neutral Gap, and Fractional Quantum Hall Systems.
The Charge Gap, the Neutral Gap, and Fractional Quantum Hall Systems.
09:45 — 10:25
David Dereudre (U of Lille)
DLR Equations for the Superstable Bose Gas at any Temperature and Activity
DLR Equations for the Superstable Bose Gas at any Temperature and Activity
10:30 — 11:00
coffee break
11:00 — 11:40
Soren Fournais (U of Copenhagen)
Tunnelling formulae for magnetic operators
Tunnelling formulae for magnetic operators
11:45 — 12:25
Emanuela L. Giacomelli (U Milan)
The Huang-Yang-conjecture for the low density Fermi gas
The Huang-Yang-conjecture for the low density Fermi gas
12:30 — 14:00
Lunch break
14:00 — 14:40
Teun van Nuland (TU Delft)
Many-body physics and resolvent algebras
Many-body physics and resolvent algebras
14:45 — 15:25
Jan Derezinski (U Warsaw)
Damping of phonons at low temperature
Damping of phonons at low temperature
15:30 — 16:00
coffee break
09:00 — 09:40
Mathieu Lewin (Paris-Dauphine)
Gross-Pitaevskii equation for supersolids
Gross-Pitaevskii equation for supersolids
09:45 — 10:25
Christian Brennecke (U Bonn)
BEC with optimal rate in the Gross-Pitaevskii Limit
BEC with optimal rate in the Gross-Pitaevskii Limit
10:30 — 11:00
coffee break
11:00 — 11:40
Cristina Caraci (U of Geneva)
Euclidean field theories as limit of interacting Bose gases
Euclidean field theories as limit of interacting Bose gases
11:45 — 12:25
Phan Thanh Nam (LMU Munich)
Derivation of $\Phi^4_3$ theory from many-body quantum mechanics
Derivation of $\Phi^4_3$ theory from many-body quantum mechanics
12:30 — 14:00
Lunch break
14:00 — 14:40
Simone Rademacher (LMU Munich)
Long-time validity of Bogoliubov theory
Long-time validity of Bogoliubov theory
14:45 — 15:25
Alessandro Olgiati (Politecnico Milano)
Third order correction to the ground state energy of a Bose gas in the Gross-Pitaevskii regime
Third order correction to the ground state energy of a Bose gas in the Gross-Pitaevskii regime
15:30 — 16:00
coffee break
16:00 — 17:00
Rupert Frank (LMU Munich)
Stability of matter: The 50th anniversary of the Lieb--Thirring proof
Stability of matter: The 50th anniversary of the Lieb--Thirring proof
09:00 — 09:40
Jean-Bernard Bru (U Basque Country)
Exchange Interactions and Cuprate Superconductivity
Exchange Interactions and Cuprate Superconductivity
09:45 — 10:25
Tanja Rindler-Daller (U of Vienna)
Truly macroscopic quantum systems: dark matter as Bose-Einstein condensates
Truly macroscopic quantum systems: dark matter as Bose-Einstein condensates
- cancelled
10:30 — 11:00
coffee break
11:00 — 11:40
Morris Brooks (U Zurich)
The effective mass of the Fröhlich polaron at strong coupling
The effective mass of the Fröhlich polaron at strong coupling
11:45 — 12:25
Chiara Saffirio (U of Basel)
Semiclassical analysis of mean-field type equations
Semiclassical analysis of mean-field type equations
12:30 — 14:00
Lunch break
14:00 — 14:40
Michele Correggi (Politecnico Milano)
Existence of Bulk Vortices in Superconductors with Strong Magnetic Fields
Existence of Bulk Vortices in Superconductors with Strong Magnetic Fields
14:45 — 15:25
Lukas Junge (U of Copenhagen)
Dilute Bosons in two Dimensions
Dilute Bosons in two Dimensions
15:30 — 16:00
coffee break
16:00 — 17:00
Francesca Ferlaino (U of Innsbruck)
Supersolids in Magnetic Gases: From Roton Softening to Quantum Vortices
Supersolids in Magnetic Gases: From Roton Softening to Quantum Vortices
09:00 — 09:40
Nicolas Rougerie (ENS de Lyon)
Hartree and magnetic Thomas-Fermi approximations for 2D anyons
Hartree and magnetic Thomas-Fermi approximations for 2D anyons
09:45 — 10:25
Peter Pickl (U Tübingen)
Impurities in the Fermi-Gas
Impurities in the Fermi-Gas
10:30 — 11:00
coffee break
11:00 — 11:40
Ian Jauslin (Rutgers U)
Non-perturbative behavior of interacting Bosons at intermediate densities
Non-perturbative behavior of interacting Bosons at intermediate densities
11:45 — 12:25
Alessandro Giuliani (U Roma III)
Universality of the topological phase transition in the interacting Haldane model
Universality of the topological phase transition in the interacting Haldane model
Organizers
| Name | Affiliation |
|---|---|
| Serena Cenatiempo | Gran Sasso Science Institute |
| Christian Hainzl | Ludwig Maximilian University of Munich |
| Robert Seiringer | Institute of Science and Technology Austria |
Attendees
| Name | Affiliation |
|---|---|
| Niels Benedikter | University of Milan |
| Chiara Boccato | University of Pisa |
| Christian Brennecke | University of Bonn |
| Morris Brooks | University of Zurich |
| Jean-Bernard Bru | University of the Basque Country |
| Cristina Caraci | University of Geneva |
| Martin Ravn Christiansen | Institute of Science and Technology Austria |
| Michele Correggi | Politecnico di Milano |
| David Dereudre | University of Lille |
| Jan Derezinski | University of Warsaw |
| Davide Desio | Institute of Science and Technology Austria |
| Andreas Deuchert | Virginia Polytechnic Institute and State University |
| Michiel De Wilde | Institute of Science and Technology Austria |
| Francesca Ferlaino | University of Innsbruck |
| Soren Fournais | University of Copenhagen |
| Rupert Frank | Ludwig-Maximilians-University Munich |
| Emanuela L. Giacomelli | University of Milan |
| Stefano Giorgini | University of Trento |
| Théotime Girardot | Gran Sasso Science Institute |
| Alessandro Giuliani | Università Roma Tre |
| Harald Grosse | University of Vienna |
| Florian Haberberger | Ludwig-Maximilians-University Munich |
| Ian Jauslin | Rutgers University |
| Lukas Junge | University of Copenhagen |
| Jonas Lampart | Université de Bourgogne |
| Asbjorn Baekgaard Lauritsen | Université Paris-Dauphine |
| Jinyeop Lee | University of Basel |
| Marius Lemm | University of Tübingen |
| Nikolai Leopold | Constructor University |
| Mathieu Lewin | CNRS & Paris Dauphine PSL |
| Léo Morin | University of Copenhagen |
| Bruno Nachtergaele | University of California, Davis |
| Phan Thanh Nam | Ludwig-Maximilians-University Munich |
| Marcin Napiórkowski | University of Warsaw |
| Jakob Oldenburg | University of Zurich |
| Alessandro Olgiati | Politecnico di Milano |
| Marco Olivieri | Universitat Politecnica de Catalunya |
| Lorenzo Pettinari | University of Trento |
| Peter Pickl | University of Tübingen |
| Lorenzo Pigozzi | Institute of Science and Technology Austria |
| Alessandro Pizzo | University of Rome Tor Vergata |
| Marcello Porta | SISSA |
| Simone Rademacher | Ludwig-Maximilians-University Munich |
| Robin Reuvers | Università Roma Tre |
| Tanja Rindler-Daller | University of Vienna |
| Nicolas Rougerie | ENS de Lyon |
| Chiara Saffirio | University of Basel |
| Diane Saint Aubin | University of Zurich |
| Benjamin Schlein | University of Zurich |
| Severin Schraven | Technical University of Munich |
| Heinz Siedentop | Ludwig-Maximilians-University Munich |
| Jan Philip Solovej | University of Copenhagen |
| Stefan Teufel | University of Tübingen |
| Francesco Toschi | Institute of Science and Technology Austria |
| Arnaud Triay | Ludwig-Maximilians-University Munich |
| Daniel Ueltschi | University of Warwick |
| Teun van Nuland | Technical University Delft |
| Francois Visconti | Ludwig-Maximilians-University Munich |
| Simone Warzel | Technical University of Munich |
| Jakob Yngvason | University of Vienna |
| Valentin Zagrebnov | University Aix-Marseille |
Jan Philip Solovej (U of Copenhagen): Seventy Years of the Mathematical Physics of the Bose Gas
Nov. 24, 2025 09:30 — 10:30
Nov. 24, 2025 09:30 — 10:30
Benjamin Schlein (U Zurich): Upper bound for Wu’s correction to the ground state energy of a dilute Bose gas
Nov. 24, 2025 11:00 — 11:40
Nov. 24, 2025 11:00 — 11:40
Arnaud Triay (LMU Munich): The free energy of dilute Bose gases at low temperature
Nov. 24, 2025 11:45 — 12:25
Nov. 24, 2025 11:45 — 12:25
Stefano Giorgini (U of Trento): Exact solution of many-body problems using quantum Monte-Carlo: applications to ultracold atoms
Nov. 24, 2025 14:00 — 15:00
Nov. 24, 2025 14:00 — 15:00
Andreas Deuchert (Virginia Tech): Recent developments in the analysis of Bose gases at positive temperature.
Nov. 24, 2025 15:30 — 16:10
Nov. 24, 2025 15:30 — 16:10
Valentin Zagrebnov (U Aix-Marseille): About the observation of Bose-Einstein Condensation in Liquid 4^He
Nov. 24, 2025 16:15 — 16:55
Nov. 24, 2025 16:15 — 16:55
Bruno Nachtergaele (UC Davis): The Charge Gap, the Neutral Gap, and Fractional Quantum Hall Systems.
Nov. 25, 2025 09:00 — 09:40
Nov. 25, 2025 09:00 — 09:40
David Dereudre (U of Lille): DLR Equations for the Superstable Bose Gas at any Temperature and Activity
Nov. 25, 2025 09:45 — 10:25
Nov. 25, 2025 09:45 — 10:25
Soren Fournais (U of Copenhagen): Tunnelling formulae for magnetic operators
Nov. 25, 2025 11:00 — 11:40
Nov. 25, 2025 11:00 — 11:40
Emanuela L. Giacomelli (U Milan): The Huang-Yang-conjecture for the low density Fermi gas
Nov. 25, 2025 11:45 — 12:25
Nov. 25, 2025 11:45 — 12:25
Mathieu Lewin (Paris-Dauphine): Gross-Pitaevskii equation for supersolids
Nov. 26, 2025 09:00 — 09:40
Nov. 26, 2025 09:00 — 09:40
Christian Brennecke (U Bonn): BEC with optimal rate in the Gross-Pitaevskii Limit
Nov. 26, 2025 09:45 — 10:25
Nov. 26, 2025 09:45 — 10:25
Cristina Caraci (U of Geneva): Euclidean field theories as limit of interacting Bose gases
Nov. 26, 2025 11:00 — 11:40
Nov. 26, 2025 11:00 — 11:40
Phan Thanh Nam (LMU Munich): Derivation of $\Phi^4_3$ theory from many-body quantum mechanics
Nov. 26, 2025 11:45 — 12:25
Nov. 26, 2025 11:45 — 12:25
Alessandro Olgiati (Politecnico Milano): Third order correction to the ground state energy of a Bose gas in the Gross-Pitaevskii regime
Nov. 26, 2025 14:45 — 15:25
Nov. 26, 2025 14:45 — 15:25
Rupert Frank (LMU Munich): Stability of matter: The 50th anniversary of the Lieb--Thirring proof
Nov. 26, 2025 16:00 — 17:00
Nov. 26, 2025 16:00 — 17:00
Jean-Bernard Bru (U Basque Country): Exchange Interactions and Cuprate Superconductivity
Nov. 27, 2025 09:00 — 09:40
Nov. 27, 2025 09:00 — 09:40
Morris Brooks (U Zurich): The effective mass of the Fröhlich polaron at strong coupling
Nov. 27, 2025 11:00 — 11:40
Nov. 27, 2025 11:00 — 11:40
Chiara Saffirio (U of Basel): Semiclassical analysis of mean-field type equations
Nov. 27, 2025 11:45 — 12:25
Nov. 27, 2025 11:45 — 12:25
Francesca Ferlaino (U of Innsbruck): Supersolids in Magnetic Gases: From Roton Softening to Quantum Vortices
Nov. 27, 2025 16:00 — 17:00
Nov. 27, 2025 16:00 — 17:00
Nicolas Rougerie (ENS de Lyon): Hartree and magnetic Thomas-Fermi approximations for 2D anyons
Nov. 28, 2025 09:00 — 09:40
Nov. 28, 2025 09:00 — 09:40
Ian Jauslin (Rutgers U): Non-perturbative behavior of interacting Bosons at intermediate densities
Nov. 28, 2025 11:00 — 11:40
Nov. 28, 2025 11:00 — 11:40
Alessandro Giuliani (U Roma III): Universality of the topological phase transition in the interacting Haldane model
Nov. 28, 2025 11:45 — 12:25
Nov. 28, 2025 11:45 — 12:25
At a glance
- Type:
- Workshop
- When:
- Nov. 24, 2025 — Nov. 28, 2025
- Where:
- ESI Boltzmann Lecture Hall
- Organizer(s):
-
Serena Cenatiempo (Gran Sasso Science Institute, L'Aquila)
Christian Hainzl (LMU Munich)
Robert Seiringer (ISTA, Klosterneuburg)