TY - JOUR
T1 - Quantum suppression of diffusion on stochastic webs
AU - Dana, Itzhack
PY - 1994
Y1 - 1994
N2 - Quantum suppression of diffusion on stochastic webs is shown to take place for the kicked harmonic oscillator in the form of exactly periodic recurrences. This phenomenon occurs, in general, only if three conditions are satisfied: (1) The kicking potential is odd, up to an additive constant. (2) The web is crystalline with square or hexagonal symmetry. (3) A dimensionless h assumes integer values. The nature of the phenomenon and its sensitivity to small perturbations are examined in terms of generalized kicked Harper models and the theory of topological Chern invariants.
AB - Quantum suppression of diffusion on stochastic webs is shown to take place for the kicked harmonic oscillator in the form of exactly periodic recurrences. This phenomenon occurs, in general, only if three conditions are satisfied: (1) The kicking potential is odd, up to an additive constant. (2) The web is crystalline with square or hexagonal symmetry. (3) A dimensionless h assumes integer values. The nature of the phenomenon and its sensitivity to small perturbations are examined in terms of generalized kicked Harper models and the theory of topological Chern invariants.
UR - http://www.scopus.com/inward/record.url?scp=0001592136&partnerID=8YFLogxK
U2 - 10.1103/physrevlett.73.1609
DO - 10.1103/physrevlett.73.1609
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AN - SCOPUS:0001592136
SN - 0031-9007
VL - 73
SP - 1609
EP - 1612
JO - Physical Review Letters
JF - Physical Review Letters
IS - 12
ER -