Mathematical Challenges in Quantum Mechanics - Online Seminars

Europe/Rome
Online

Online

Description

The series of online seminars Mathematical Challenges in Quantum Mechanics (MCQM) focuses on current topics of mathematical physics, with special attention to the mathematical aspects of quantum mechanics. It aims to bring together the Italian community working on mathematical methods for quantum theory.      

The seminars take place on Wednesday afternoon, usually at 14:30 Italian time, on a monthly basis. The schedule for the 2024/25 seminar series is as follows:       
 

Each seminar will be accompanied by a lecture addressed to PhD students and young researchers, aimed at introducing the broad topic of the seminar and presenting some perspectives of the open problems and mathematical challenges in the field. The lecture is usually held on the same day of the seminar, at 11.30 Italian time.

Titles and abstracts of the MCQM Seminars and PhD lectures are available at this page and this page respectively. To receive the zoom link to attend the seminars and/or the PhD lectures please register here

The online seminars are part of a long-running series of events organized over the years by the Italian community working on mathematical methods for quantum physics, including the following School and Workshops: 

MCQM - Mathematical Challenges in Quantum Mechanics  
MCQM22 - Como, June 13-18, 2022 
MCQM18 - Rome, February 19-24, 2018  
MCQM16 - Bressanone, February 8-13, 2016


Organizing committee

Serena Cenatiempo (GSSI)     
Marco Falconi (PoliMi)     
Emanuela L. Giacomelli (UniMI)     
Domenico Monaco (Sapienza)     
Marco Olivieri (Copenhagen)     

 

Registration
Registration to MCQM Seminars
Participants
  • ADECHOLA EMILE KODJO KOUANDE
  • Aldo Clemente
  • Alessandra Faggionato
  • Alessandro Ferreri
  • Alessandro Olgiati
  • Andrew Rout
  • Anouar Kouraich
  • Antoine Levitt
  • Arnaud Triay
  • Asbjørn Bækgaard Lauritsen
  • AYOUB ARRAJI
  • Benjamin Hinrichs
  • Bruno Colbois
  • Camilo Gómez Araya
  • Carlo Presilla
  • Chiara Boccato
  • Claudio Cacciapuoti
  • Cornelia Vogel
  • Cristina Caraci
  • Daniel Fröhlich
  • Danko Aldunate
  • David Miguélez Caballero
  • Davide Desio
  • Denis Périce
  • Dirk Hundertmark
  • Domenico Lapadula
  • Domenico Monaco
  • Eliana Fiorelli
  • Fabio Briscese
  • Fabrizio Caragiulo
  • Feng He
  • François Visconti
  • Fumio Hiroshima
  • Gabriele Grillo
  • Gabriele Peluso
  • Gehad Eldibany
  • Ghofrane Bel Hadj Aissa
  • Gianluca Panati
  • Giovanna Marcelli
  • Giovanni Franzina
  • Giulia Basti
  • Giuseppe Gaeta
  • Giuseppe Lipardi
  • Giuseppe MARMO
  • Graziano Surace
  • Harman Preet Singh
  • Horia Cornean
  • Jakob Oldenburg
  • Javier Valentín Martín
  • Jinyeop Lee
  • Jobst Ziebell
  • Jonas Lampart
  • Jose Manuel Montes Armenteros
  • Konstantin Merz
  • LAKHDAR SEK
  • Lakshita Bageja
  • Leonardo Goller
  • Loredana Mihaela Vasiloiu
  • Luca Fresta
  • Lucrezia Cossetti
  • Mangaldeep Paul
  • Marcello Seri
  • Marcin Klaczak
  • Marco Falconi
  • Marco Olivieri
  • Maria-Myrto Pegioudi
  • Massimo Moscolari
  • Matias Ginzburg
  • Matteo Gallone
  • Meriem Bahhi
  • Michele Correggi
  • MOHAMED HUSSEIN MOHAMED SALAMA
  • Nepomuk Trauner
  • Nico Michele Schiavone
  • Nils Schopohl
  • Paolo Facchi
  • Per Moosavi
  • Pierfrancesco Martini
  • Raphaël Gautier
  • Ricardo Weder
  • Riccardo Panza
  • Sangdon Jin
  • Saptarshi Mandal
  • Serena Cenatiempo
  • Siegfried Spruck
  • Simone Rademacher
  • SIVASISH PAUL
  • Sonae Hadama
  • Stefano Marcantoni
  • Sujoy Saha
  • Thiago Carvalho Corso
  • Tim Möbus
  • Tommaso Pistillo
  • Umberto Morellini
  • William Borrelli
  • Yair Mulian
  • +120
    • 1
      MCQM PhD Lecture: Benjamin Alvarez

      Title: An introduction to non relativistic QED

      Abstract: This talk is dedicated to presenting the fundamental notions to adress non relativistic QED models. The general framework of quantum field theory will be presented together with the Hamiltonian of non relativistic QED. In addition, we aim to give a taste of important works that have been done in the field together with some open problems.

    • 2
      MCQM Seminar: Volker Bach

      Title: TBA

      Abstract: TBA

    • 3
      MCQM PhD Lecture: Angelo Lucia

      Title: Locality and spectral gaps in quantum spin systems

      Abstract: In this lecture, I will give a brief introduction to the mathematical framework used to describe quantum spin systems on lattices. The main goal will be to connect the study of models defined over finite volumes to an idealized infinite volume limit called the thermodynamic limit. A key role will be played by locality estimates known as Lieb-Robinson bounds. I will then focus on the spectral gap of the model, the difference between the two lowest energy levels, and I will explain how it is related to the problem of phase classification of quantum phases of matter.

    • 4
      MCQM Seminar: David Pérez García

      Title: Spectral gaps in many body quantum systems

      Abstract: How does the spectral gap of a quantum many body system scale with the system size? This turns out to be a very relevant question both in condensed matter physics and in quantum computing. However, there are very few available techniques to give bounds of that scaling. In the first part of this talk, we will review recent results which explain why: it is undecidable to know if the spectral gap will vanish or not with the system size. In the second part, we will review complementary results which show that, despite this general impossibility result, one can still prove spectral gap estimates in a rather wide family of systems. As a consequence, one obtains new bounds on the lifetime of quantum memories.

    • 5
      MCQM PhD Lecture: Benjamin Hinrichs

      Title: An Invitation to Path Measure Methods for Polaron Models

      Abstract: This talk gives an introduction to the connection between the Hamiltonian formulation of quantum mechanics and its probabilistic counterpart. We first discuss this in terms of Feynman-Kac formulas for Schrödinger operators together with some applications. Then, we move to their analogues for polaron models, i.e., models of quantum particles linearly coupled to a quantum field. We also sketch how the named applications extend to the polaron, e.g., when studying ground states or the effective mass.

    • 6
      MCQM Seminar: Robert Seiringer

      Title: Spectral analysis of polaron models in the strong coupling limit

      Abstract: The Fröhlich polaron and related models of quantum field theory have played a prominent role in mathematical physics over several decades. In this talk, we shall explain recent bounds on the quantum corrections to the (classical) Pekar approximation of the ground state energy of the Fröhlich polaron model in the strong coupling limit, and their consequence on the existence of excited states and the polaron's effective mass.

    • 7
      MCQM PhD Lecture: Andrew Rout

      Title: A (brief) introduction to Gibbs measures for the nonlinear Schrödinger equation

      Abstract: In this talk I will give an introduction to Gibbs measures for the nonlinear Schrödinger equation. The construction of global solutions to dispersive PDEs usually relies on the conservation of quantities like the energy and the mass. For lower regularity functions, these quantities are infinite, so cannot be used. Instead one introduces an invariant measure, which can act as a substitute for the conserved quantities.
      I give the heuristic ideas for the construction the Gibbs measure, and also sketch the details of the rigorous construction. I will also discuss how to use the Gibbs measure to construct global solutions to the nonlinear Schrödinger equation.

    • 8
      MCQM Seminar: Rafael Benguria

      Title: Bound on the Excess Charge of Generalized Thomas-Fermi-Weizsäcker functionals

      Abstract: We bound the number of electrons Q that an atom can bind in excess of neutrality for density functionals generalizing the classical Thomas-Fermi-Weizsäcker functional: instead of the classical power 5/3 more general powers p are considered. For 3/2 < p <2 we prove the excess charge conjecture, i.e., that Q is uniformly bounded in the atomic number Z. The case p = 3/2 is critical: the behavior changes from a uniform bound in Z to a linear bound at the critical coupling 4 √ π of the nonlinear term. We also improve the linear bound for all p ≥ 6/5.

      This is joint work with Heinz Siedentop, LMU, Munich.