Dynamical mean-field theory analysis of the quantum Zeno effect in a driven-dissipative Bose-Hubbard lattice*

The study of the driven-dissipative quantum many-body problem has gained, in the last decade, considerable traction. Photonic systems, in particular, have emerged as particularly suited platforms thanks to the ease of introduction of driving and dissipation, and the latter has been harnessed as a convenient tool for the preparation of strongly-correlated many-body states. Despite these recent efforts, the picture on driven-dissipative many-body quantum systems is still incomplete and calls, among others, for the development of new, powerful numerical methods which are able to cope with the sheer size of the Hilbert space and, at the same time, to carefully handle the presence of correlations. In this work, we overcome these problems by employing the DMFT technique in the context of driven-dissipative bosonic lattices. As a case study for the effectiveness of our specific implementation of this technique, we demonstrate the ability to reproduce the so-called quantum Zeno effect in a Bose-Hubbard lattice of cavities with strong two-particle dissipation.

References

1. Seclì et al, New J. Phys. 23, 063056.

2. Seclì et al, in preparation.