The squeezed state is used to study the one-dimensional quantum mechanical Frenkel-Kontorova model. A set of coupled equations for the particle’s expectation value and the fluctuations for the ground state are derived. It is shown that quantum fluctuations renormalize the standard map to an effective sawtooth map. The underlying mechanism provides an alternative and simple explanation of dynamical localization in quantum chaos.
|Journal||Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - 1998 Jan 1|
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Physics and Astronomy(all)