During my PhD I studied the effects of time-dependent noise on low-dimensional systems. I discovered a new type of nonequilibrium criticality, where the noise follows the same scaling low as quantum fluctuations [1]. Later, I worked on the driven-dissipative Dicke model, whose phase transition had surprisingly new critical exponent. We explained that this phase transition is simply equivalent to a classical Landau phase transition at finite temperature [2]. The theoretical models that we developed, based on a path-integral description of Markovian bath, is now a widespread tool to study quantum optical systems and beyond [3].

[1] journal-article. Torre, E. G. D., Demler, E., Giamarchi, T., & Altman, E. (2010). Quantum critical states and phase transitions in the
presence of non-equilibrium noise [Article]. Nature Physics, 6(10), 806–810. https://doi.org/10.1038/NPHYS1754.
[2] journal-article. Torre, E. G. D., Diehl, S., Lukin, M. D., Sachdev, S., & Strack, P. (2013). Keldysh approach for nonequilibrium phase
transitions in quantum optics: Beyond the Dicke model in optical cavities [Article]. Physical Review A, 87(2).
https://doi.org/10.1103/PhysRevA.87.023831.
[3] journal-article. Peter Kirton. (2019). Introduction to the Dicke Model: From Equilibrium to Nonequilibrium, and Vice Versa. Advanced quantum technologies , 2(1–2), https://doi.org/ 10.1002/qute.201800043.