Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition

Vukics, A and Dombi, A and Fink, J. M. and Domokos, P. (2019) Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition. Quantum : The Open Journal for Quantum Science, 3. pp. 1-14. ISSN 2521-327X

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Abstract

We prove that the observable telegraph signal accompanying the bistability in the photon-blockade-breakdown regime of the driven and lossy Jaynes–Cummings model is the finite-size precursor of what in the thermodynamic limit is a genuine first-order phase transition. We construct a finite-size scaling of the system parameters to a well-defined thermodynamic limit, in which the system remains the same microscopic system, but the telegraph signal becomes macroscopic both in its timescale and intensity. The existence of such a finite-size scaling completes and justifies the classification of the photon-blockade-breakdown effect as a first-order dissipative quantum phase transition.

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