84 citations · 970 across the 84 of their papers we have counts for
6 papers · 1 filter
Cyclotomic quantum clock
H. C. Rosu, M. Planat
In the wake of our recent work on cyclotomic effects in quantum phase locking [M. Planat and H. C. Rosu, Phys. Lett. A 315, 1 (2003)], we briefly discuss here a cyclotomic extensio…
Invitation to the "Spooky" Quantum Phase-Locking Effect and its Link to 1/F Fluctuations
Michel Planat
An overview of the concept of phase-locking at the non linear, geometric and quantum level is attempted, in relation to finite resolution measurements in a communication receiver a…
The hyperbolic, the arithmetic and the quantum phase
Michel Planat, Haret Rosu
We develop a new approach of the quantum phase in an Hilbert space of finite dimension which is based on the relation between the physical concept of phase locking and mathematical…
Quantum Noise in Equilibrium: from Planck to Ramanujan
Michel Planat
We describe a new model of massless thermal bosons which predicts an hyperbolic fluctuation spectrum at low frequencies. It is found that the partition function per mode is the Eul…
Class numbers in the imaginary quadratic field and the 1/f noise of an electron gas
Michel Planat
Partition functions of statistical mechanics are generally approximated by integrals. The approximation fails in small cavities or at very low temperature, when the ratio $x…
Cyclotomy and Ramanujan sums in quantum phase locking
M. Planat, H. C. Rosu
Phase-locking governs the phase noise in classical clocks through effects described in precise mathematical terms. We seek here a quantum counterpart of these effects by working in…