Mathematical Challenges in Quantum Mechanics - Online Seminars
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Friday, 1 November 2024 (09:00)
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Wednesday, 6 November 2024
11:30
MCQM PhD Lecture: Benjamin Alvarez
MCQM PhD Lecture: Benjamin Alvarez
11:30 - 12:30
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.
14:30
MCQM Seminar: Volker Bach
MCQM Seminar: Volker Bach
14:30 - 15:30
Title: TBA Abstract: TBA
Thursday, 7 November 2024
Friday, 8 November 2024
Saturday, 9 November 2024
Sunday, 10 November 2024
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Thursday, 12 December 2024
Friday, 13 December 2024
Saturday, 14 December 2024
Sunday, 15 December 2024
Monday, 16 December 2024
Tuesday, 17 December 2024
Wednesday, 18 December 2024
11:30
MCQM PhD Lecture: Angelo Lucia
MCQM PhD Lecture: Angelo Lucia
11:30 - 12:30
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.
14:30
MCQM Seminar: David Pérez García
MCQM Seminar: David Pérez García
14:30 - 15:30
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.
Thursday, 19 December 2024
Friday, 20 December 2024
Saturday, 21 December 2024
Sunday, 22 December 2024
Monday, 23 December 2024
Tuesday, 24 December 2024
Wednesday, 25 December 2024
Thursday, 26 December 2024
Friday, 27 December 2024
Saturday, 28 December 2024
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Monday, 30 December 2024
Tuesday, 31 December 2024
Wednesday, 1 January 2025
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Wednesday, 8 January 2025
Thursday, 9 January 2025
Friday, 10 January 2025
Saturday, 11 January 2025
Sunday, 12 January 2025
Monday, 13 January 2025
Tuesday, 14 January 2025
Wednesday, 15 January 2025
11:30
MCQM PhD Lecture: TBA
MCQM PhD Lecture: TBA
11:30 - 12:30
Title: TBA Abstract: TBA
14:30
MCQM Seminar: Robert Seiringer
MCQM Seminar: Robert Seiringer
14:30 - 15:30
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.
Thursday, 16 January 2025
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