Entanglement is added to the multiphoton state emanated by superradiance. It is achieved by employing multilevel atoms, via a multipath Dicke ladder. Additional quantum effects like beating between collective states are exhibited.
We propose realization of sources of multiphoton entanglement from atomic ensembles via a fast and deterministic superradiance process [1]. We leverage the collective emission phenomenon of superradiance in order to generate multiphoton states, and entangle them in their frequency degree of freedom by incorporating the dynamics of multilevel atoms. Such deterministic high-yield sources of entangled photons are crucial for applications pertaining to quantum computation, quantum communications and quantum metrology [2]. We emphasize that the original Dicke superradiance model [3] and its extensions have only dealt with the atomic-ensemble entanglement and photonic ensemble-average observables such as intensity and autocorrelation, and photonic entanglement in superradiance has never been considered.
We show here that the photonic states emitted by ensembles of multilevel atoms via a superradiance process exhibit entanglement in the modal (frequency) degree of freedom, making this collective emission process a favorable candidate for a fast, bright, and deterministic source of entangled photons. This entanglement is driven by two mechanisms: (i) selective excitation of the atomic ensemble to a superposition state, and (ii) degeneracies of the optical transitions owing to the internal structure of the emitting atoms. The latter induces intricate nonradiative virtual transitions in the ensemble, which create interatomic correlations that are imprinted onto the emitted photons. One of the important outcomes of this complexity is the generation of mode-independent entangled multiphoton states. In addition, we study the dynamics of the correlations of the superradiating multilevel atom ensembles, and demonstrate a case where they exhibit beating in steady state as a result of the aforementioned virtual transitions.
Dicke superradiance by an ensemble of quantum emitters produces a collective burst of radiation, but no entanglement in the mixed state of the emitters. We show that adding a local kinetic constraint between the emitters generates extensive mixed-state entanglement, while otherwise preserving all key features of Dicke superradiance. Specifically, for any local Boolean constraint, we analytically derive a lower bound for the emission rate which implies a peak intensity ∝N2 and a peak time ∝(logN)/N with number of spins N. This effect enables the superradiantly accelerated preparation of entangled dark states. Hereby, Hilbert-space fragmentation of the Dicke ladder leads to an exponentially branching decay tree that generates a hierarchy of dark states. Importantly, these disconnected manifolds include exponentially many long-range entangled singlet dark states. The explored kinetic constraints and superradiant dynamics can be realized in neutral-atom arrays coupled to an optical cavity, and we suggest a simple and accessible witness to detect the predicted mixed-state entanglement in such experiments. Moreover, we show that entanglement generation is robust against atomic decay and collective dephasing, and should be observable under recently reported experimental conditions. Our results, thereby, offer a general framework and experimentally viable approach for the dissipative engineering of entangled dark states enhanced by superradiance.