99 citations · 594 across the 33 of their papers we have counts for
6 papers · 1 filter
Berry phase in atom optics
Polina V. Mironova, Maxim A. Efremov, Wolfgang P. Schleich
We consider the scattering of an atom by a sequence of two near-resonant standing light waves each formed by two running waves with slightly different wave vectors. Due to opposite…
Atom lens without chromatic aberrations
Maxim A. Efremov, Polina V. Mironova, Wolfgang P. Schleich
We propose a lens for atoms with reduced chromatic aberrations and calculate its focal length and spot size. In our scheme a two-level atom interacts with a near-resonant standing…
Factorization of numbers with Gauss sums: III. Algorithms with Entanglement
S. Wölk, W. P. Schleich
We propose two algorithms to factor numbers using Gauss sums and entanglement: (i) in a Shor-like algorithm we encode the standard Gauss sum in one of two entangled states and (ii)…
Factorization of numbers with Gauss sums: II. Suggestions for implementations with chirped laser pulses
W. Merkel, S. Wölk, W. P. Schleich +3
We propose three implementations of the Gauss sum factorization schemes discussed in part I of this series: (i) a two-photon transition in a multi-level ladder system induced by a…
Factorization of numbers with Gauss sums: I. Mathematical background
S. Wölk, W. Merkel, W. P. Schleich +2
We use the periodicity properties of generalized Gauss sums to factor numbers. Moreover, we derive rules for finding the factors and illustrate this factorization scheme for variou…
Factorization of numbers with truncated Gauss sums at rational arguments
S. Wölk, C. Feiler, W. P. Schleich
Factorization of numbers with the help of Gauss sums relies on an intimate relationship between the maxima of these functions and the factors. Indeed, when we restrict ourselves to…