[seminar] Fabio Franchini (Tue 22nd Nov, 14:15h, F-201)

[Ivica Smolic]

Dear colleagues,

I would like to invite you to the following seminar,


Dr. Fabio Franchini
(Ruđer Bošković Institute)

"Universal dynamics of a localized excitation after an interaction quench"

Tuesday, 22nd of November, 14:15h, F-201

We study the time evolution, induced by a quench, of local excitations 
in one dimension. We focus on interaction quenches: the considered 
protocol consists in creating a stable localized excitation propagating 
through the system, and then operating a sudden change of the 
interaction between the particles. To highlight the effect of the 
quench, we take the initial excitation to be a soliton. The quench 
splits the excitation into two packets moving in opposite directions, 
whose characteristics can be expressed in a universal way. Our 
treatment, which is hydrodynamic in nature, allows to describe the 
internal dynamics of these two packets in terms of the different 
velocities of their components. We confirm our analytical predictions 
through numerical simulations performed with the Gross-Pitaevskii 
equation and with the Calogero model (as an example of long range 
interactions and solvable with a parabolic confinement). Through the 
Calogero model we also discuss the effect of an external trapping on the 
protocol. The hydrodynamic approach shows that there is a difference 
between the bulk velocities of the propagating packets and the 
velocities of their peaks: it is possible to discriminate the two 
quantities, as we show through the comparison between numerical 
simulations and analytical estimates. In the realizations of the 
discussed quench protocol in a cold atom experiment, these different 
velocities are accessible through different measurement procedures.


Best regards,
Ivica Smolić
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