ua nt - p h / 02 10 02 5 v 1 3 O ct 2 00 2 Floquet Analysis of Atom Optics Tunneling Experiments
نویسنده
چکیده
Dynamical tunneling has been observed in atom optics experiments by two groups. We show that the experimental results are extremely well described by time-periodic Hamiltonians with momentum quantized in units of the atomic recoil. The observed tunneling has a well defined period when only two Floquet states dominate the dynamics. Beat frequencies are observed when three Floquet states dominate. We find frequencies which match those observed in both experiments. The dynamical origin of the dominant Floquet states is identified. PACS numbers : 03.65.Xp, 03.75.Be, 05.45.Mt, 42.50.Vk Atom optics experiments recently have been used to investigate the effect of underlying classical chaos on quantum dynamics. The experiments we focus on in this paper have demonstated the existence of dynamic tunneling in momentum space in regimes where the underlying classical phase space contains a mixture of chaotic and regular orbits. We will show that we can accurately reproduce the dominant tunneling frequencies observed in these two very different experiments using Floquet analysis of the quantum dynamics. Typically, cold sodium or cesium atoms are allowed to interact with laser beams which are detuned away from resonance with two atomic energy levels which have energy spacing,
منابع مشابه
ar X iv : q ua nt - p h / 02 10 17 3 v 1 2 5 O ct 2 00 2 Casimir effect and vacuum energy
Vacuum fluctuations have observable consequences, like the Casimir force appearing between two mirrors in vacuum. This force is now measured with good accuracy and agreement with theory. We discuss the meaning and consequences of these statements by emphasizing their relation with the problem of vacuum energy, one of the main unsolved problems at the interface between gravitational and
متن کاملar X iv : q ua nt - p h / 01 10 02 4 v 1 4 O ct 2 00 1 Real continuum
Some physical consequences of the negation of the continuum hypothesis are considered. It is shown that quantum and classical mechanics are component parts of the multicomponent description of the set of variable infinite cardinality. Existence and properties of the set follow directly from the independence of the continuum hypothesis. Particular emphasis is laid on set-theoretic aspect.
متن کاملua nt - p h / 02 11 07 0 v 1 1 3 N ov 2 00 2 Numerical study of induced vortex tunneling
Tunneling of virtual vortex-antivortex pairs across a superconducting film can be enhanced by sending pulses of electric current along the film. Thus, a thin wire made from such a film will function as a quantum switch (changing the magnetic flux enclosed by the device). We study this process numerically in a toroidal film (periodic boundary conditions in both directions) by using the dual desc...
متن کاملua nt - p h / 01 02 02 5 v 1 5 F eb 2 00 1 Teleportation with indistinguishable particles . ∗
We analyze in a critical way the mathematical treatment of a quantum teleportation experiment performed with photon particles, showing that a symmetrization operation over both the polarization and spatial degrees of freedom of all the particles involved is necessary in order to reproduce correctly the observed experimental data.
متن کامل