Quantum Carpets made simple
We show that the concept of degeneracy is the key idea for understanding the quantum carpet woven by a particle in the box.
arXiv subjects
Publications and source records attributed to W. P. Schleich.
We show that the concept of degeneracy is the key idea for understanding the quantum carpet woven by a particle in the box.
We show that quantum localization occurs in the center-of-mass motion of an ion stored in a Paul trap and interacting with a standing laser field. The present experimental state of the art makes the observation of this phenomenon feasible.
By sending many two-level atoms through a cavity resonant with the atomic transition, and letting the interaction times between the atoms and the cavity be randomly distributed, we end up with a predetermined Fock state of the electromagnetic field inside the cavity if we perform after the interaction with the cavity a conditional measurement of the internal state of each atom in a coherent superposition of its ground and excited states. Differently from previous schemes, this procedure turns out to be very stable under fluctuations in the interaction times.
We investigate the general case of the photon distribution of a two-mode squeezed vacuum and show that the distribution of photons among the two modes depends on four parameters: two squeezing parameters, the relative phase between the two oscillators and their spatial orientation. The distribution of the total number of photons depends only on the two squeezing parameters. We derive analytical expressions and present pictures for both distributions.