263 citations · 2.2k across the 84 of their papers we have counts for
5 papers · 1 filter
Arnol'd Tongues and Quantum Accelerator Modes
Italo Guarneri, Laura Rebuzzini, Shmuel Fishman
The stable periodic orbits of an area-preserving map on the 2-torus, which is formally a variant of the Standard Map, have been shown to explain the quantum accelerator modes that…
Scaling and Universality of the Complexity of Analog Computation
Yaniv Avizrats, Joshua Feinberg, Shmuel Fishman
We apply a probabilistic approach to study the computational complexity of analog computers which solve linear programming problems. We analyze numerically various ensembles of lin…
Theory of 2-kicked Quantum Rotors
C. E. Creffield, S. Fishman, T. S. Monteiro
We examine the quantum dynamics of cold atoms subjected to {\em pairs} of closely spaced -kicks from standing waves of light, and find behaviour quite unlike the well-studied qu…
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…