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- W1552472511 abstract "We show that in the few-excitation regime, the classical and quantum time evolution of the inhomogeneous Dicke model for $N$ two-level systems coupled to a single boson mode agree for $N⪢1$. In the presence of a single excitation only, the leading term in an $1/N$ expansion of the classical equations of motion reproduces the result of the Schrodinger equation. For a small number of excitations, the numerical solutions of the classical and quantum problems become equal for $N$ sufficiently large. By solving the Schrodinger equation exactly for two excitations and a particular inhomogeneity, we obtain $1/N$ corrections which lead to a significant difference between the classical and quantum solutions at a new time scale which we identify as an Ehrenferst time, given by ${ensuremath{tau}}_{E}=sqrt{N/⟨{g}^{2}⟩}$, where $sqrt{⟨{g}^{2}⟩}$ is an effective coupling strength between the two-level systems and the boson." @default.
- W1552472511 created "2016-06-24" @default.
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- W1552472511 date "2010-07-27" @default.
- W1552472511 modified "2023-09-23" @default.
- W1552472511 title "Classical and quantum regimes of the inhomogeneous Dicke model and its Ehrenfest time" @default.
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- W1552472511 doi "https://doi.org/10.1103/physrevb.82.024305" @default.
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