English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Coherent and incoherent chaotic tunneling near singlet-doublet crossings

MPS-Authors
/persons/resource/persons197402

Dittrich,  Thomas
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Kohler, S., Utermann, R., Hanggi, P., & Dittrich, T. (1998). Coherent and incoherent chaotic tunneling near singlet-doublet crossings. Physical Review E, 58(6), 7219-7230. doi:10.1103/PhysRevE.58.7219.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-A716-B
Abstract
In the spectrum of systems showing chaos-assisted tunneling, three-state crossings are formed when a chaotic singlet intersects a tunnel doublet. We study the dissipative quantum dynamics in the vicinity of such crossings. A harmonically driven double well coupled to a bath serves as a model. Markov and rotating-wave approximations are introduced with respect to the Floquet spectrum of the time-dependent central system. The resulting master equation is integrated numerically. We find various types of transient tunneling, determined by the relation of the level width to the inherent energy scales of the crossing. The decay of coherent tunneling can be significantly retarded or accelerated. Modifications of the quantum asymptotic state by the crossing are also studied. The comparison with a simple three-state model shows that in contrast to the undamped case, the participation of states outside the crossing cannot be neglected in the presence of dissipation. [S1063-651X(98)05212-X].