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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230609T161500
DTEND;TZID=Europe/Berlin:20230609T161500
DTSTAMP:20260505T030918
CREATED:20250707T130400Z
LAST-MODIFIED:20250904T103511Z
UID:10000093-1686327300-1686327300@www.trr352.de
SUMMARY:Light cones for open quantum systems
DESCRIPTION:We consider Markovian open quantum dynamics (MOQD) in continuous space. We show that\, up to small-probability tails\, the supports of quantum states evolving under such dynamics propagate with finite speed in any finite-energy subspace. More precisely\, we prove that if the initial quantum state is localized in space\, then any finite-energy part of the solution of the von Neumann-Lindblad equation is approximately localized inside an energy- dependent light cone. We also obtain an explicit upper bound for the slope of this light cone. Joint work with S. Breteaux\, J. Faupin\, D.H. Ou Yang\, I.M. Sigal\, and J. Zhang.
URL:https://www.trr352.de/event/light-cones-for-open-quantum-systems/
LOCATION:Room 5607.01.023 (Seminarraum)\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230613T160000
DTEND;TZID=Europe/Berlin:20230613T160000
DTSTAMP:20260505T030918
CREATED:20250707T130135Z
LAST-MODIFIED:20250707T130135Z
UID:10000092-1686672000-1686672000@www.trr352.de
SUMMARY:Estimation of propagation of chaos via cumulant hierarchies in two example models
DESCRIPTION:Propagation and generation of “chaos” is an important ingredient in rigorous control of applicability of kinetic theory\, in general. Chaos can here be understood as sufficient statistical independence of random variables related to the “kinetic” obser- vables of the system. Cumulant hierarchy of these random variables thus often gives a way of controlling the evolution and the degree of such independence\, i.e.\, theamount of “chaos” in the system. In this talk\, we will consider two\, qualitatively different\, ex-ample cases for which kinetic theory is believed to be applicable: the discrete nonlinear Schrodinger evolution (DNLS) with suitable random\, spatially ho- mogeneous initial data\, and the stochastic Kac model. In both cases\, we set up sui- table random variables and propose methods to control the evolution of their cumu- lant hierarchies. The talk is based on joint work with Aleksis Vuoksenmaa\, and earlier works with Matteo Marcozzi\, Alessia Nota\, and Herbert Spohn.
URL:https://www.trr352.de/event/estimation-of-propagation-of-chaos-via-cumulant-hierarchies-in-two-example-models/
LOCATION:Room 5608.03.011 (Seminarraum (M1/M7))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230613T170000
DTEND;TZID=Europe/Berlin:20230613T170000
DTSTAMP:20260505T030918
CREATED:20250707T125926Z
LAST-MODIFIED:20250904T103455Z
UID:10000091-1686675600-1686675600@www.trr352.de
SUMMARY:Boltzmann-type collision operators for Bogoliubov excitations of Bose-Einstein condensates
DESCRIPTION:In this talk\, we describe the kinetic equation for the Bogoliubov excitations of the Bose-Einstein Condensate. We find three collisional processes: One of them describes the 1↔2 interactions between the condensate and the excited atoms. The other two describe the 2↔2 and 1↔3 interactions between the excited atoms themselves. This is a joint work with Yves Pomeau.
URL:https://www.trr352.de/event/boltzmann-type-collision-operators-for-bogoliubov-excitations-of-bose-einstein-condensates/
LOCATION:Room 5608.03.011 (Seminarraum (M1/M7))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230622T160000
DTEND;TZID=Europe/Berlin:20230622T160000
DTSTAMP:20260505T030918
CREATED:20250707T125722Z
LAST-MODIFIED:20250829T135115Z
UID:10000090-1687449600-1687449600@www.trr352.de
SUMMARY:Large deviations in Bose-Einstein condensates
DESCRIPTION:We consider the ground state of a Bose gas of N particles on the three-dimensional unit torus in the mean-field regime that is known to exhibit Bose-Einstein condensation. Bounded one-particle operators with law given through the interacting Bose gas’ ground state correspond to dependent random variables. We prove that in the limit N to infinity\, bounded one-particle operators with law given by the ground state satisfy large deviation estimates. We derive a lower and an upper bound on the rate function that match up to second order and that are characterized by quantum fluctuations around the condensate.
URL:https://www.trr352.de/event/large-deviations-in-bose-einstein-condensates/
LOCATION:Room C3N14\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230628T161500
DTEND;TZID=Europe/Berlin:20230628T161500
DTSTAMP:20260505T030918
CREATED:20250707T125547Z
LAST-MODIFIED:20250904T103444Z
UID:10000089-1687968900-1687968900@www.trr352.de
SUMMARY:Ground state phase diagram of jellium: what do we think we know?
DESCRIPTION:The homogeneous electron gas (jellium) where electrons interact with each other and with a positive background charge is one of the simplest model system in condensed matter physics. Still\, the precise determination of the zero temperature phase diagram remains challenging. In the talk I will review some recent progress from a computational perspective concerning the ground state phase diagram and Fermi Liquid properties.
URL:https://www.trr352.de/event/ground-state-phase-diagram-of-jellium-what-do-we-think-we-know/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20230629T143000
DTEND;TZID=Europe/Berlin:20230629T143000
DTSTAMP:20260505T030918
CREATED:20250707T125402Z
LAST-MODIFIED:20250829T134950Z
UID:10000088-1688049000-1688049000@www.trr352.de
SUMMARY:A new approach to Scattering: On the Asymptotic states of Nonlinear Dispersive and Hyperbolic equations with General Data
DESCRIPTION:I will present a new approach to finding the asymptotic states of Nonlinear Wave Equations with general initial data.\nIn particular\, we show for a large class of equations\, that all asymptotic states are linear combinations of free wave\, localized parts (solitons\, breathers..) and a possibility of self-similar solutions as well in some cases. These results hold for initial data for which the H^1 Sobolev norm (the energy norm) is uniformly bounded in time.\nThis answers the question of Asymptotic Completeness to a large class of equations\, including for the first time\, equations with time dependent potentials.\nThese are joint works with Baoping Liu (Peking Univ) and Xiaoxu Wu (Rutgers).
URL:https://www.trr352.de/event/a-new-approach-to-scattering-on-the-asymptotic-states-of-nonlinear-dispersive-and-hyperbolic-equations-with-general-data/
LOCATION:Room C3N14\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
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