Details
| Original language | English |
|---|---|
| Pages (from-to) | 117-126 |
| Number of pages | 10 |
| Journal | Zeitschrift für Physik B Condensed Matter |
| Volume | 60 |
| Issue number | 1 |
| Publication status | Published - 1 Mar 1985 |
Abstract
We investigate the dynamics of one anisotropic spin in an external time-dependent magnetic field. The classical dynamics of the system is nonintegrable (and very similar to the standard map). We present results on this model for a quantum spin (i.e. for finite values of the spin length S). In particular we discuss the semiclassical regime, S≫1, using the concept of Wigner functions to define a suitable probability distribution. In regular regions of phase space the time evolution of the probability distribution shows an algebraic decay of correlations as in quantum mechanics. In chaotic regions of phase space it is characterised by a positive Lyapunov exponent which depends on S. In these regions semiclassical trajectories coincide with classical ones for t <τ0 where τ0∼In S.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Zeitschrift für Physik B Condensed Matter, Vol. 60, No. 1, 01.03.1985, p. 117-126.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the dynamics of a quantum system which is classically chaotic
AU - Frahm, H.
AU - Mikeska, H. J.
PY - 1985/3/1
Y1 - 1985/3/1
N2 - We investigate the dynamics of one anisotropic spin in an external time-dependent magnetic field. The classical dynamics of the system is nonintegrable (and very similar to the standard map). We present results on this model for a quantum spin (i.e. for finite values of the spin length S). In particular we discuss the semiclassical regime, S≫1, using the concept of Wigner functions to define a suitable probability distribution. In regular regions of phase space the time evolution of the probability distribution shows an algebraic decay of correlations as in quantum mechanics. In chaotic regions of phase space it is characterised by a positive Lyapunov exponent which depends on S. In these regions semiclassical trajectories coincide with classical ones for t <τ0 where τ0∼In S.
AB - We investigate the dynamics of one anisotropic spin in an external time-dependent magnetic field. The classical dynamics of the system is nonintegrable (and very similar to the standard map). We present results on this model for a quantum spin (i.e. for finite values of the spin length S). In particular we discuss the semiclassical regime, S≫1, using the concept of Wigner functions to define a suitable probability distribution. In regular regions of phase space the time evolution of the probability distribution shows an algebraic decay of correlations as in quantum mechanics. In chaotic regions of phase space it is characterised by a positive Lyapunov exponent which depends on S. In these regions semiclassical trajectories coincide with classical ones for t <τ0 where τ0∼In S.
U2 - 10.1007/BF01312650
DO - 10.1007/BF01312650
M3 - Article
AN - SCOPUS:0041584021
VL - 60
SP - 117
EP - 126
JO - Zeitschrift für Physik B Condensed Matter
JF - Zeitschrift für Physik B Condensed Matter
SN - 0722-3277
IS - 1
ER -