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14 papers · 1 filter
Observation of Four-Photon de Broglie Wavelength by State Projection Measurement
F. W. Sun, B. H. Liu, Y. F. Huang +2
A measurement process is constructed to project an arbitrary two-mode -photon state to a maximally entangled -photon state (the {\it NOON}-state). The result of this projecti…
Rigorous approach to the comparison between experiment and theory in Casimir force measurements
G. L. Klimchitskaya, F. Chen, R. S. Decca +5
In most experiments on the Casimir force the comparison between measurement data and theory was done using the concept of the root-mean-square deviation, a procedure that has been…
Projection Measurement of the Maximally Entangled N-Photon State for a Demonstration of N-Photon de Broglie Wavelength
F. W. Sun, Z. Y. Ou, G. C. Guo
We construct a projection measurement process for the maximally entangled N-photon state (the NOON-state) with only linear optical elements and photodetectors. This measurement pro…
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
E. Mukhin, V. Tarasov, A. Varchenko
We prove the B. and M. Shapiro conjecture that says that if the Wronskian of a set of polynomials has real roots only, then the complex span of this set of polynomials has a basis…
Exact Solution of the Six-Vertex Model with Domain Wall Boundary Conditions. Disordered Phase
Pavel Bleher, Vladimir Fokin
The six-vertex model, or the square ice model, with domain wall boundary conditions (DWBC) has been introduced and solved for finite by Korepin and Izergin. The solution is bas…
Rotation sets of billiards with one obstacle
A. Blokh, M. Misiurewicz, N. Simanyi
We investigate the rotation sets of billiards on the -dimensional torus with one small convex obstacle and in the square with one small convex obstacle. In the first case the di…