17/07/2023: Angelo Lucia @ PoliMi

July 17, 2023 - 16:00
Sala Consiglio, seventh floor
Politecnico di Milano
Campus Leonardo, Ed. 14 (Nave)

SPEAKER: Angelo Lucia (Universidad Complutense de Madrid)

Thermalization of quantum memories

Quantum memories are quantum spins systems designed to protect a quantum state from external noise. Contrary to the classical case, there are reasons to conjecture that there are no two-dimensional quantum memories that survive for long period of times at non-zero temperature.

In this talk, I will discuss a way to rigorously prove this conjecture, by estimating the mixing time of a class of
Quantum Markovian Semigroups. I will then present some recent results, regarding the case of so-called Kitaev’s quantum double models, for which we can perform such estimate and confirm the conjecture.

This is also part of the “PhD Lectures” activity of the project “Departments of Excellence 2023-2027”. This activity consists of seminars open to Ph.D. students, followed by meetings with the speaker to discuss and go into detail on the topics presented at the talk.

6/7/2023: Domenico Finco @ UnIns

July 6, 2023 - 16:15
Aula VA2, floor -1
Università degli Studi dell'Insubria
Via Valleggio 11, Como

SPEAKER: Domenico Finco (Università Telematica Uninettuno, Roma)

NLS with a Nonlinearity Concentrated on a Sphere

We discuss some existence results for the solutions of the NLS with nonlinearity concentrated on a sphere in dimension three.