Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition
Institute of Science and Technology Austria
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.
A. Vukics, A. Dombi, J. M. Fink, and P. Domokos: Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition. Quantum 3, 150 (2019).
trajectory state snapshots for g=20κ, η=11.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=20κ, η=11.5g/50, γ=0κ with seed=10001–10012
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quantum trajectories for g=20κ, η=11.75g/50, γ=0κ with seed=10001–10012
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quantum trajectories for g=35κ, η=12g/50, γ=0κ with seed=10001–10012
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quantum trajectories for g=50κ, η=13.25g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=70κ, η=13.25g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=70κ, η=13.25g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=70κ, η=13.25g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=70κ, η=13.25g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=70κ, η=13.25g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=70κ, η=13.25g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=85κ, η=13.25g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=85κ, η=13.25g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=85κ, η=13.25g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=85κ, η=13.25g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=85κ, η=13.25g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=85κ, η=13.25g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=100κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=100κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=100κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=100κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=100κ, η=13.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=100κ, η=13.5g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=20κ, η=13.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=20κ, η=13.5g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=25κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=25κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=25κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=25κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=25κ, η=13.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=25κ, η=13.5g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=30κ, η=13.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=30κ, η=13.5g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=35κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=35κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=35κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=35κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=35κ, η=13.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=35κ, η=13.5g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=40κ, η=13.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=40κ, η=13.5g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=45κ, η=13.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=45κ, η=13.5g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=50κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=50κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=50κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=50κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=50κ, η=13.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=50κ, η=13.5g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=70κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=70κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=70κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=70κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=70κ, η=13.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=70κ, η=13.5g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=85κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=85κ, η=13.5g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=85κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=85κ, η=13.5g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=85κ, η=13.5g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=85κ, η=13.5g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=100κ, η=13g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=100κ, η=13g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=100κ, η=13g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=100κ, η=13g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=100κ, η=13g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=100κ, η=13g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=20κ, η=13g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=20κ, η=13g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=25κ, η=13g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=25κ, η=13g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=25κ, η=13g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=25κ, η=13g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=25κ, η=13g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=25κ, η=13g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=30κ, η=13g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=30κ, η=13g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=35κ, η=13g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=35κ, η=13g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=35κ, η=13g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=35κ, η=13g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=35κ, η=13g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=35κ, η=13g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=40κ, η=13g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=40κ, η=13g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=45κ, η=13g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=45κ, η=13g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=50κ, η=13g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=50κ, η=13g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=50κ, η=13g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=50κ, η=13g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=50κ, η=13g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=50κ, η=13g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=70κ, η=13g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=70κ, η=13g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=70κ, η=13g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=70κ, η=13g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=70κ, η=13g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=70κ, η=13g/50, γ=0κ with seed=10001–10012
trajectory state snapshots for g=85κ, η=13g/50, γ=0.001κ with seed=10001–10012
quantum trajectories for g=85κ, η=13g/50, γ=0.001κ with seed=10001–10012
trajectory state snapshots for g=85κ, η=13g/50, γ=0.01κ with seed=10001–10012
quantum trajectories for g=85κ, η=13g/50, γ=0.01κ with seed=10001–10012
trajectory state snapshots for g=85κ, η=13g/50, γ=0κ with seed=10001–10012
quantum trajectories for g=85κ, η=13g/50, γ=0κ with seed=10001–10012