The general strategy of engineering dissipation to stabilize non-trivial quantum states has been implemented with great success in a series of experiments in atomic systems, circuit QED and optomechanics. While these techniques can in principle be used to stabilize complex states in strongly nonlinear systems or even lattices, the resources required tend to be well beyond the reach of experiment. In this talk I’ll discuss recent theory work that attempts to remedy this problem. I’ll first discuss the problem of using dissipation to stabilize states in coupled arrays of bosonic cavities. By exploiting generalized versions of chiral symmetries, one can have a single, locally-coupled reservoir stabilize an entire lattice (even in two-dimensions) into a pure, multi-mode entangled state. In the second part of the talk, I will switch focus to a strongly interacting Bose Hubbard dimer system, where two parametrically driven Kerr cavities are coupled via dissipation. Despite interactions, driving and dissipation, this system is exactly solvable, and has a pure steady state which is non-Gaussian and strongly entangled (an entangled cat state).
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By Yassine Hamoudi
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By Nana Liu
