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Dissipative phase transitions in the Driven-Dissipative Bose-Hubbard model

Filippo Vicentini (Laboratoire Matériaux et Phénomènes Quantiques (MPQ), Univ. Paris Diderot)
When Mar 29, 2019
from 10:45 to 11:45
Where room M7
Attendees Filippo Vicentini
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Any realistic quantum system is subjected to coupling to an environment, which influences it in a non-negligible way. Under general approximations it is possible to give a probabilistic description of the system-bath interaction thanks to the so-called Lindblad Master Equation for Open Quantum Systems [1], which is particularly relevant for experimental platforms such as semiconductor microcavities and superconducting quantum circuits. During this talk we will discuss the differences between phase transitions in- and out-of equilibrium [2], and comment on recent theoretical results about 1st [3, 4] and 2nd [5] order phase transitions in the Driven-Dissipative Bose-Hubbard model.

[1] H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2007).
[2] F. Minganti, A. Biella, N. Bartolo, and C. Ciuti, Spectral theory of Liouvillians for dissipative phase transitions, Phys. Rev. A 98, 042118 (2018).
[3] F. Vicentini, F. Minganti, R. Rota, G. Orso and C. Ciuti, Critical slowing down in driven-dissipative Bose-Hubbard lattices, Phys. Rev. A 97, 013853 (2018).
[4] F. Vicentini, F. Minganti, A. Biella, G. Orso and C. Ciuti, Optimal stochastic unraveling of disordered open quantum systems, arXiV:1812.08582 [quant-ph] (2018).
[5] R. Rota, F. Minganti, C. Ciuti and V. Savone Quantum critical regime in a quadratically-driven nonlinear photonic lattice, arXiV:1809.10138 [quant-ph] (2018).