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

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

Domokos Péter

Wigner Fizikai Kutatóközpont
Kapcsolattartó Dr. Bene Erika
Időpont 2020-01-10 11:00
Helyszín Atomki, nagyelőadó (Debrecen, Bem tér 18/c, XII. épület 3. emelet)
Esemény leírása

We prove that the observable telegraph signal accompanying the bistability in the photonblockade-breakdown regime of the driven and lossy Jaynes–Cummings model is the finite-size precursor of a genuine first-order phase transition in the thermodynamic limit. By unraveling the stationary solution into quantum trajectories, we resolve the nature of coexistence of phases in the time domain. We construct a finite-size scaling of the parameters to the thermodynamic limit, which refers to the same microscopic quantum system, such that the steady-state density matrix is kept invariant, meanwhile the stability of the phases increases and the characteristic lifetime tends to infinity. By showing the existence of this finite-size scaling, we complete and justify the analogy of the photon-blockade-breakdown effect to a dissipative quantum phase transition of the first order.