Seminarium KMMF "Teoria Dwoistości"
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2025-10-16 (Czwartek)
Zapraszamy do sali 1.02, ul. Pasteura 5 o godzinie 10:15 
Michał Oszmaniec (CFT PAN)Long-Time Properties of Many-Body Quantum Dynamics
In this talk, I will discuss recent results on the long-time dynamics of strongly interacting many-body quantum systems, focusing on two settings: local random quantum circuits and the unitary time evolution of closed quantum systems. For random quantum circuits, I will show that the circuit complexity of states and unitaries saturates after exponential time and undergoes recurrence after double-exponential time (in the system size). For unitary dynamics of closed quantum systems, I will present a doubly exponential upper bound on recurrence times and give examples of Hamiltonians and states that saturate this bound.
2025-10-09 (Czwartek)
Zapraszamy do sali 1.02, ul. Pasteura 5 o godzinie 10:15
Jan Chwedeńczuk (IFT FUW)Conveyor belt for quantum information
This talk is focused on a transfer of information across a many-bodysystem. It will be shown that a single qubit can play the role of anantenna that gathers vast amounts of information from a complex system.Moreover, single-particle measurements performed on this antenna canprovide information about the speed of signal propagation in the system.This way, one can access the Lieb-Robinson bound without measuring thetwo-body correlations.A condition will be formulated under which the antenna, far apart fromthe source and embedded in a many-body interacting medium, can stillcollect the complete information. A striking feature of this setup isthat a single-qubit antenna can accommodate even the full signalamplified by the entanglement of the source. In consequence, theretrieval of this information can be performed with simple one-qubitoperations on the antenna (which will be fully characterized) ratherthan multi-qubit measurements of the source.
2025-10-02 (Czwartek)
Zapraszamy do sali 1.02, ul. Pasteura 5 o godzinie 10:15
Asier López-Gordón (IMPAN)Homogeneous Darboux and Frobenius theorems
There are several contexts in physics and differential geometry where a grading appears (the spin of particles, intensive/extensive variables, the exterior product of differential forms, etc.). It is thus natural to seek coordinates which are simultaneously homogeneous (i.e. respecting the grading) and adapted to the geometric structure under consideration. In the first part of my talk, I shall present a Frobenius theorem for involutive homogeneous distributions. In the second part, I shall present Darboux theorems for homogeneous presymplectic and Pfaffian forms. This is a work in progress with Prof. J. Grabowski.
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