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35 papers · 1 filter
Billiard representation for multidimensional multi-scalar cosmological model with exponential potentials
H. Dehnen, V. D. Ivashchuk, V. N. Melnikov
Multidimensional cosmological-type model with n Einstein factor spaces in the theory with l scalar fields and multiple exponential potential is considered. The dynamics of the mode…
Electrostatic colloid-membrane complexation
Christian C. Fleck, Roland R. Netz
We investigate numerically and on the scaling level the adsorption of a charged colloid on an oppositely charged flexible membrane. We show that the long ranged character of the el…
Idempotents of Clifford Algebras
R. Ablamowicz, B. Fauser, K. Podlaski +1
A classification of idempotents in Clifford algebras C(p,q) is presented. It is shown that using isomorphisms between Clifford algebras C(p,q) and appropriate matrix rings, it is p…
Homodyne tomography characterization and nonlocality of a dual-mode optical qubit
S. A. Babichev, J. Appel, A. I. Lvovsky
A single photon, delocalized over two optical modes, is characterized by means of quantum homodyne tomography. The reconstructed four-dimensional density matrix extends over the en…
Iterative maximum-likelihood reconstruction in quantum homodyne tomography
A. I. Lvovsky
I propose an iterative expectation maximization algorithm for reconstructing a quantum optical ensemble from a set of balanced homodyne measurements performed on an optical state.…
Energy estimates for weakly hyperbolic systems of the first order
Michael Dreher, Ingo Witt
For a class of weakly hyperbolic systems of the form D_t - A(t,x,D_x), where A(t,x,D_x) is a first-order pseudodifferential operator whose principal symbol degenerates like t^{l_*}…