Anderson Localization in Atoms
نویسندگان
چکیده
We investigate the celebrated analogy [1] between Anderson localization phenomena in condensed matter physics [2] and related effects in the ionization process of driven Rydberg atoms, and put them on a quantitative footing. The atomic system we consider for a comprehensive numerical analysis of its ionization properties is a highly excited hydrogen atom exposed to a monochromatic electromagnetic field of linear polarization. The external field is purely classical, we ignore relativistic corrections, and assume an infinite proton mass. Dropping the – for our purposes negligible – ponderomotive energy shift [3], and restricting to the dipole approximation, the Hamiltonian (in atomic units, and applying the velocity gauge [3]) reads as
منابع مشابه
Localization of cold atoms in state-dependent optical lattices via a Rabi Pulse.
We propose a novel realization of Anderson localization in nonequilibrium states of ultracold atoms in an optical lattice. A Rabi pulse transfers part of the population to a different internal state with infinite effective mass. These frozen atoms create a quantum superposition of different disorder potentials, localizing the mobile atoms. For weakly interacting mobile atoms, Anderson localizat...
متن کاملMicrowave-driven atoms: from Anderson localization to Einstein's photoeffect.
We study the counterpart of Anderson localization in driven one-electron Rydberg atoms. By changing the initial Rydberg state at fixed microwave frequency and interaction time, we numerically monitor the crossover from Anderson localization to the photoeffect in the atomic ionization signal.
متن کاملA universal ionization threshold for strongly driven Rydberg states
The suppression of quantum transport across disordered media is one of the most spectacular consequences of destructive quantum interference. Originally predicted by Anderson [1] in his treatment of electrons propagating in disordered one dimensional lattices, Anderson localization has now become a general concept which prevails in abundant scenarios of coherent quantum transport in the presenc...
متن کاملQuantum correlations in two-particle Anderson localization.
We predict quantum correlations between noninteracting particles evolving simultaneously in a disordered medium. While the particle density follows the single-particle dynamics and exhibits Anderson localization, the two-particle correlation develops unique features that depend on the quantum statistics of the particles and their initial separation. On short time scales, the localization of one...
متن کاملAnderson localization of solitons.
At low temperature, a quasi-one-dimensional ensemble of atoms with an attractive interaction forms a bright soliton. When exposed to a weak and smooth external potential, the shape of the soliton is hardly modified, but its center-of-mass motion is affected. We show that in a spatially correlated disordered potential, the quantum motion of a bright soliton displays Anderson localization. The lo...
متن کاملجایگزیدگی الکترون و گذارفاز فلز- عایق در زنجیر یک بعدی اتمها
In this paper, the electron localization length was calculated numerically in a one-dimensional chain of atoms with random binary alloy. It is shown that in a one-dimensional finite-size chian of atoms, the localization length of the electron wave function decreases with increasing impurity concentration and with more increasing of the impurity concentration, the localization length becomes s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002