A great collaboration with Nathan Goldman and Marco Schiro has produced a paper "Reaching Sachdev-Ye-Kitaev physics by shaking the Hubbard model", describing how kinetically-shaking the Hubbard model can be used to simulate SYK physics. The article has been accepted for publication in Phys. Rev. Lett., Here is the abstract:
The Sachdev-Ye-Kitaev (SYK) model has attracted widespread attention due to its relevance to diverse areas of physics, such as high temperature superconductivity, black holes, and quantum chaos. The model is, however, extremely challenging to realize experimentally. In this work, we show how a particular form of Floquet engineering, termed ``kinetic driving'', effectively eliminates single-particle processes and creates quasi-random all-to-all interactions when applied to models of Hubbard type. For the specific case of the Bose-Hubbard model, we explicitly verify that the driven system indeed reproduces SYK physics by direct comparison of the spectral form factor and out-of-time ordered correlation functions (OTOCs). Our findings indicate that a cold-atom realization of kinetic driving -- achieved through modulation of hopping amplitudes in an optical lattice -- offers a practical and accurate platform for quantum simulation of the SYK model.
The preprint is available at arXiv:2512.02755.
My latest PhD student, Juan Zurita (co-supervised with Gloria Platero) defended his thesis "Low dimensional topological insulators: flat bands, exotic symmetries and application to quantum computing" on the 27th of November 2025. The thesis was awarded "cum laude" - congratulations to the new Dr Zurita!
The 8th Madrid Meeting on Cold Atoms was held at the Universidad Complutense on Monday, 11th of January 2016. The next meeting will be hosted by the Universidad Autónoma de Madrid.
Previous meetings in this series:
7th Meeting (October 2014), CSIC Serrano
6th Meeting (January 2014), Universidad Autónoma de Madrid
5th Meeting (June 2013), Universidad Complutense de Madrid
4th Meeting (January 2013), CSIC Serrano
Third Meeting (June 2012), Universidad Autónoma de Madrid
Second Meeting (December 2011), Universidad Complutense de Madrid
First meeting (May 2011), CSIC Serrano
More details here