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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260609T160000
DTEND;TZID=Europe/Berlin:20260609T160000
DTSTAMP:20260618T065422
CREATED:20260617T062627Z
LAST-MODIFIED:20260617T062627Z
UID:10000149-1781020800-1781020800@www.trr352.de
SUMMARY:Three-body Hamiltonian for abelian anyons with zero-range interactions
DESCRIPTION:Anyons are 2d identical quantum particles with an intermediate exchange symmetry characterized by representations of the braid group. In the abelian case\, they can be modeled through the so-called magnetic representation\, namely as a system of bosons with an Aharonov-Bohm flux attached to each particle. In this talk\, I will discuss the construction of self-adjoint Hamiltonians\, different from the Friedrichs realization\, for a system of three abelian anyons. I will focus in particular on the Ter-Martirosyan-Skornyakov extensions. This family of Hamiltonians turns out to be parametrized by a suitable boundary operator; I will present a complete classification of its self-adjoint realizations and compute the negative spectrum for the specific case of interest. These results shed light on the possible occurrence of Thomas instability in the three-anyon model. Joint work with Michele Correggi (PoliMi) and Davide Fermi (PoliMi)
URL:https://www.trr352.de/event/three-body-hamiltonian-for-abelian-anyons-with-zero-range-interactions/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260611T161500
DTEND;TZID=Europe/Berlin:20260611T161500
DTSTAMP:20260618T065422
CREATED:20260617T062037Z
LAST-MODIFIED:20260617T062037Z
UID:10000148-1781194500-1781194500@www.trr352.de
SUMMARY:Birth of a gap: critical phenomena in the normal matrix model
DESCRIPTION:We investigate a family of radially symmetric Coulomb gas systems at inverse\ntemperature \ncoming from the normal matrix model. The family is characterised by the\nproperty that the density of the equilibrium measure vanishes on a ring at\nradius \, which lies strictly inside the droplet. The large n expansion of\nthe free energy is obtained up to a novel term. Next\, we perform a scaling\nlimit of the correlation kernel at the scale and obtain a new limiting\nkernel in the bulk\, which differs from the well-known Ginibre kernel. \nJoint work with Matthias Allard based on arXiv:2509.24529
URL:https://www.trr352.de/event/birth-of-a-gap-critical-phenomena-in-the-normal-matrix-model/
LOCATION:5604.02.011 (Seminarraum)\, Boltzmannstr. 3\, Garching b. München\, 85748
CATEGORIES:Talks
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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260616T161500
DTEND;TZID=Europe/Berlin:20260616T161500
DTSTAMP:20260618T065422
CREATED:20260606T204650Z
LAST-MODIFIED:20260606T204650Z
UID:10000143-1781626500-1781626500@www.trr352.de
SUMMARY:On deriving a kinetic equation from many-body quantum dynamics
DESCRIPTION:Effectively describing the long-time dynamical behavior of quantum systems is a long-standing open problem. When the coupling constant λ of the interaction is small\, the dynamics of the system up to kinetic time t ~ λ -2 is conjectured to be effectively governed by the Boltzmann-Nordheim kinetic equation. In this talk\, we consider a system of weakly interacting lattice fermions at thermal equilibrium\, and I will describe how the two-point time correlation function of the system depends on the equilibrium solution of the Boltzmann-Nordheim equation. We approach the problem using a perturbation expansion and represent the appearing terms by Feynman diagrams. \nThis is joint work with Phan Thành Nam\, Herbert Spohn\, and Minh-Binh Tran.
URL:https://www.trr352.de/event/on-deriving-a-kinetic-equation-from-many-body-quantum-dynamics/
LOCATION:5606.02.011 (Konferenzraum)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
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