# SEMINAR+WEBINAR ANNOUNCEMENT

“Dynamics of massive point vortices in a binary mixture of Bose-Einstein condensates”

- https://fisica.upc.edu/en/events/seminar-webinar-announcement-2
- SEMINAR+WEBINAR ANNOUNCEMENT
- 2022-05-06T15:00:00+02:00
- 2022-05-06T16:00:00+02:00
- “Dynamics of massive point vortices in a binary mixture of Bose-Einstein condensates”

**When**

May 06, 2022 from 03:00 PM to 04:00 PM (Europe/Madrid / UTC200)

### SEMINAR+WEBINAR ANNOUNCEMENT

Friday, 6th of May 2022 at 15:00

UPC campus nord, B4-212 (aula seminari)

https://meet.google.com/whq-mkve-aja

Andrea Richaud

SISSA, Trieste, Italy

“Dynamics of massive point vortices in a binary mixture of Bose-Einstein condensates”

## Abstract

In quantum matter, vortices are topological excitations characterized by quantized circulation of the velocity field. They are often modelled as funnel-like holes around which the quantum ﬂuid exhibits a swirling ﬂow. In this perspective, vortex cores are nothing more than empty regions where the superﬂuid density goes to zero. In the last few years, this simple view has been challenged and it is now increasingly clear that, in many real systems, vortex cores are not that empty. In these cases, the hole in the superﬂuid is ﬁlled by particles or excitations which thus dress the vortices and provide them with an effective inertial mass.

In this talk, I will discuss the dynamics of two-dimensional point vortices of one species that have small cores of a different species. I will show how to derive the relevant Lagrangian itself, based on the time-dependent variational method with a two-component Gross-Pitaevskii (GP) trial function. The resulting Lagrangian resembles that of charged particles in a static electromagnetic field, where the canonical momentum includes an electromagnetic term. I will also show some interesting dynamical regimes. The simplest example is a single vortex within a rigid circular boundary, where a massless vortex can only precess uniformly. In contrast, the presence of a small core mass can lead to small radial oscillations, which are, in turn, clear signatures of the associated inertial effect.

The analytical model is then benchmarked against detailed numerical simulations of coupled two-component GP equations with a single vortex and small second-component core. The presence of such radial oscillations is confirmed, implying that this more realistic GP vortex acts as if it has a small massive core.

References:

[1] A. Richaud, V. Penna, R. Mayol, and M. Guilleumas, Phys. Rev. A 101, 013630 (2020)

[2] A. Richaud, V. Penna, and A. L. Fetter, Phys. Rev. A 103, 023311 (2021).

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