Abstract
We consider systems which display dynamical localization, and study the effect of breaking an antiunitary symmetry (related to time reversal symmetry) on the localization length. Using semiclassical arguements substantiated by numerical results for the quantum kicked rotor, we establish that localization length increases by a factor of two when the symmetry breaking interaction is sufficiently strong. The transition is not abrupt and we give an approximate expression for the transition function. The semiclassical theory provides also the critical strength of the symmetry breaking interaction which is neccessary to achieve the full factor two increase of the localization length. (author).
Bluemel, R;
[1]
Smilansky, U
[2]
- Delaware Univ., Newark, DE (United States). Dept. of Physics and Astronomy
- Weizmann Inst. of Science, Rehovoth (Israel). Dept. of Nuclear Physics
Citation Formats
Bluemel, R, and Smilansky, U.
Symmetry breaking and localization in quantum chaotic systems.
Israel: N. p.,
1992.
Web.
Bluemel, R, & Smilansky, U.
Symmetry breaking and localization in quantum chaotic systems.
Israel.
Bluemel, R, and Smilansky, U.
1992.
"Symmetry breaking and localization in quantum chaotic systems."
Israel.
@misc{etde_10157350,
title = {Symmetry breaking and localization in quantum chaotic systems}
author = {Bluemel, R, and Smilansky, U}
abstractNote = {We consider systems which display dynamical localization, and study the effect of breaking an antiunitary symmetry (related to time reversal symmetry) on the localization length. Using semiclassical arguements substantiated by numerical results for the quantum kicked rotor, we establish that localization length increases by a factor of two when the symmetry breaking interaction is sufficiently strong. The transition is not abrupt and we give an approximate expression for the transition function. The semiclassical theory provides also the critical strength of the symmetry breaking interaction which is neccessary to achieve the full factor two increase of the localization length. (author).}
place = {Israel}
year = {1992}
month = {Feb}
}
title = {Symmetry breaking and localization in quantum chaotic systems}
author = {Bluemel, R, and Smilansky, U}
abstractNote = {We consider systems which display dynamical localization, and study the effect of breaking an antiunitary symmetry (related to time reversal symmetry) on the localization length. Using semiclassical arguements substantiated by numerical results for the quantum kicked rotor, we establish that localization length increases by a factor of two when the symmetry breaking interaction is sufficiently strong. The transition is not abrupt and we give an approximate expression for the transition function. The semiclassical theory provides also the critical strength of the symmetry breaking interaction which is neccessary to achieve the full factor two increase of the localization length. (author).}
place = {Israel}
year = {1992}
month = {Feb}
}