SP Seminar 28.06 @SISSA: Balazs Pozsgay

[Condensed Matter Section]

Condensed Matter and Statistical Physics Section
Condensed Matter Seminar


WEDNESDAY, 29 June - 11:00 a.m.

Luigi Stasi Seminar Room, first floor, Leonardo Building


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Speaker:
Wim CASTEELS (Univ. Paris Diderot, Dept. of Physics, Paris, France)


Title:
PHOTONIC NONLINEAR QUANTUM RESONATORS


Abstract:
There will be a short introduction to many-body physics with light 
containing a presentation of the driven-dissipative Bose-Hubbard model. 
One of the main numerical challenges for the description of these 
photonic lattice systems will be highlighted: the exponentially large 
Hilbert space.

In the first part a recently developed numerical approach will be 
presented which circumvents this problem by truncating the higher order 
many-body correlations. This method is then applied to the antibunching 
to bunching crossover in extended 2D lattice structures. These results 
are benchmarked with the corner-space renormalisation method.

Then, in the second part, the physics of optical bistability for a 
single driven-dissipative nonlinear cavity in the quantum regime is 
revisited. The dynamical nature of the associated hysteresis is revealed 
with a rich double power law behaviour of the hysteresis area.

Finally, a scaling analysis based on the Liouvillian gap is presented 
which qualitatively explains the double power law.


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