### Periodic Dynamics of a Local Perturbation in the Isotropic XY Model

- Series
- Math Physics Seminar
- Time
- Monday, September 16, 2019 - 16:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Livia Corsi – Universita' di Roma 3 – liv.corsi@gmail.com

I will consider the isotropic XY chain with a transverse magnetic field acting on a single site, and analyze the long time behaviour of the time-dependent state of the system when a periodic perturbation drives the impurity. I will show that, under some conditions, the state approaches a periodic orbit synchronized with the forcing. Moreover I will provide the explicit rate of convergence to the asymptotics. This is a joint work with G. Genovese.