Summary form only given.The recent progress in trapping and cooling of atoms allowed us to prepare and to measure various nonclassical states of atomic motion. These methods make use of the laser-assisted vibronic interaction of the trapped atom. The interaction Hamiltonian for the laser being resonant to the kth vibrational sideband.
Summary form only given, as follows. The ability to create and completely characterize a variety of fundamental quantum states has long been sought after in the laboratory since it brings to the forefront issues involving the relationship between quantum and classical physics. The interaction of a trapped atom with classical laser light constitutes a simple and well-isolated quantum system that makes experiments along these lines possible. The motion of an ion trapped in a rf-trap can be described as a quantum harmonic oscillator. If the ion is driven by a classical light field, several interactions similar to and beyond the simple Jaynes-Cummings coupling can be realized. These couplings allow for precisely controlled engineering and measurement of quantum states. We create states having both classical and nonclassical character including thermal, number, coherent, squeezed, and Schrodinger cat states. The motional quantum state is fully reconstructed with use of two novel schemes that determine the density matrix in the number state basis and the Wigner function. Our techniques allow well-controlled experiments on decoherence and related phenomena on the quantum-classical borderline.
Highly excited eigenstates of the motion of an individual spatially confined atom may be prepared making use of a “trapping” mechanism based on the nonlinearity of the laser-mediated coupling of internal excitation and center-of-mass vibration of the atom. In contrast to micromaser-type trapping states, these states are insensitive to laser-phase fluctuations, and a long sequence of laser pulses may be applied to the atom with little degradation only of the atomic motion. Thus, vibrational number states of high quantum numbers are achievable.
Summary form only given. A brief history of the laser cooling and trapping of atoms will be presented, covering some of the cooling and trapping techniques that have been developed over the past 15 years. The cooling and trapping technology is already being applied in numerous areas of science and engineering. Applications to be discussed include atomic clocks, atom interferometers for inertial sensors and for the measurement of the fine structure constant, as well as studies in polymer dynamics and protein motion.
Recently, laser cooling methods have been extended from atoms to molecules. The complex rotational and vibrational energy level structure of molecules makes laser cooling difficult, but these difficulties have been overcome and molecules have now been cooled to a few microkelvin and trapped for several seconds. This opens many possibilities for applications in quantum science and technology, controlled chemistry, and tests of fundamental physics. This article explains how molecules can be decelerated, cooled and trapped using laser light, reviews the progress made in recent years, and outlines some future applications.