124 citations · 324 across the 7 of their papers we have counts for
11 papers
A Universal Scaling Theory for Complexity of Analog Computation
Yaniv S. Avizrats, Joshua Feinberg, Shmuel Fishman
We discuss the computational complexity of solving linear programming problems by means of an analog computer. The latter is modeled by a dynamical system which converges to the op…
Quantum Accelerator Modes from the Farey Tree
A. Buchleitner, M. B. d'Arcy, S. Fishman +5
We show that mode-locking finds a purely quantum non-dissipative counterpart in atom-optical quantum accelerator modes. These modes are formed by exposing cold atoms to periodic ki…
Time-independent approximations for periodically driven systems with friction
Saar Rahav, Eli Geva, Shmuel Fishman
The classical dynamics of a particle that is driven by a rapidly oscillating potential (with frequency ) is studied. The motion is separated into a slow part and a fast part tha…
Time independent description of rapidly oscillating potentials
Saar Rahav, Ido Gilary, Shmuel Fishman
The classical and quantum dynamics in a high frequency field are found to be described by an effective time independent Hamiltonian. It is calculated in a systematic expansion in t…
A classical scaling theory of quantum resonances
Sandro Wimberger, Italo Guarneri, Shmuel Fishman
The quantum resonances occurring with delta-kicked particles are studied with the help of a fictitious classical limit, establishing a direct correspondence between the nearly reso…
Quantum resonances and decoherence for delta-kicked atoms
Sandro Wimberger, Italo Guarneri, Shmuel Fishman
The quantum resonances occurring with delta-kicked atoms when the kicking period is an integer multiple of the half-Talbot time are analyzed in detail. Exact results about the mome…