Nuclear excitons known from Mössbauer spectroscopy describe coherent excitations of a large number of nuclei -analogous to Dicke states (or Dicke super-radiance) in quantum optics. In this paper, we study the possibility of constructing a laser based on these coherent excitations. In contrast to the free electron laser (in its usual design), such a device would be based on stimulated emission and thus might offer certain advantages, e.g., regarding energy-momentum accuracy. Unfortunately, inserting realistic parameters, the window of operability is probably not open (yet) to present-day technology -but our design should be feasible in the UV regime, for example.

We study Dicke superradiance as collective and coherent absorption and (time-delayed) emission of photons from an ensemble of ultracold atoms in an optical lattice. Since this process depends on the coherence properties of the atoms (e.g., superfluidity), it can be used as a probe for their quantum state. In analogy to pump-probe spectroscopy in solid-state physics, this detection method facilitates the investigation of nonequilibrium phenomena and is less invasive than time-of-flight experiments or direct (projective) measurements of the atom number (or parity) per lattice site, which both destroy properties of the quantum state such as phase coherence.

We propose a scheme for entangling two photons via the quantum Zeno effect, which describes the inhibition of quantum evolution by frequent measurements and is based on the difference between summing amplitudes and probabilities. For a given error probability $P_{\rm error}$, our scheme requires that the one-photon loss rate $\xi_{1\gamma}$ and the two-photon absorption rate $\xi_{2\gamma}$ in some medium satisfy $\xi_{1\gamma}/\xi_{2\gamma}=2P_{\rm error}^2/\pi^2$, which is significantly improved in comparison to previous approaches. Again based on the quantum Zeno effect, as well as coherent excitations, we present a possibility to fulfill this requirement in an otherwise linear optics set-up.Comment: 4 pages RevTeX, 2 figure

We study the Fermi-Hubbard model in the strongly correlated Mott phase under the influence of a harmonically oscillating electric field, e.g., a pump laser. In the Peierls representation, this pump field can be represented as an oscillating phase of the hopping rate J(t), such that the effective time-averaged rateJ is reduced, i.e., switching the pump laser suddenly is analogous to a quantum quench. Apart from this time-averaged rateJ, it is well known that the oscillating component of J(t) can resonantly create particle-hole pairs if the pump frequency ωpump equals (or a little exceeds) the Mott gap. In addition, we find that it is possible to create multiple pairs if ωpump is near an integer multiple of the gap. These findings should be relevant for pump-probe experiments.

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