Elucidating Dicke Superradiance by quantum uncertainty

Abstract

Recently it was shown in Ref. [Phys. Rev. Lett. 112, 140402 (2014)] that in the idealized Dicke model of superradiance there is no entanglement among any partitions of the system during the total evolution time of the system. This result immediately conducts us to question if other measures from quantum information theory can explain the characteristic release of energy in a short time interval. In this work we identify the uncertainty of purely quantum origin as the property responsible for Dicke superradiance. The quantum uncertainty on the population of each emitter of the sample captured by the Wigner-Yanase skew information (WYSI) is proportional to the correlation radiation rate, which is the part of the total radiated power coming from dipole correlations and responsible for releasing in a short time a great intensity of radiation energy. We also show that the correlation measure called local quantum uncertainty, which is the minimization of the WYSI over all local observables, presents a double sudden change induced by environment. The time window between these two sudden changes is used to define the interval in which symmetric global observables of the system behave classically for $N\to \infty$, although the emitters remain strongly quantum correlated.

5 pages, 3 figures, Comments are welcome

References in corpus (7)

• Quantum algorithm for solving linear systems of equations
• Quantifying Coherence
• Quantum discord and the power of one qubit
• Interpreting quantum discord through quantum state merging
• All non-classical correlations can be activated into distillable entanglement
• Cooperative Robustness to Static Disorder: Superradiance and localization in a nanoscale ring to model natural light-harvesting systems
• Quantumness of correlations, quantumness of ensembles and quantum data hiding

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• Quantum coherence and speed limit in the mean-field Dicke model of superradiance
• Genuine Multipartite Correlations in a Boundary Time Crystal
• Genuine multipartite correlations in Dicke Superradiance
• Genuine $k$-partite correlations and entanglement in the ground state of the Dicke model for interacting qubits
• Initiation of Superradiance from Different Collective-Spin States