Quantum anomalies and linear response theory Academic Article uri icon

abstract

  • The analysis of diffusive energy spreading in quantized chaotic driven systems leads to a universal paradigm for the emergence of a quantum anomaly. In the classical approximation, a driven chaotic system exhibits stochastic-like diffusion in energy space with a coefficient D that is proportional to the intensity ε 2 of the driving. In the corresponding quantized problem the coherent transitions are characterized by a generalized Wigner time t ε, and a self-generated (intrinsic) dephasing process leads to nonlinear dependence of D on ε 2.

publication date

  • January 1, 2010