Loss of adiabaticity with increasing tunneling gap in nonintegrable multistate Landau-Zener models

Rajesh K. Malla and M. E. Raikh
Phys. Rev. B 96, 115437 – Published 19 September 2017

Abstract

We consider the simplest nonintegrable model of the multistate Landau-Zener transition. In this model, two pairs of levels in two tunnel-coupled quantum dots are swept past each other by the gate voltage. Although this 2×2 model is nonintegrable, it can be solved analytically in the limit when the interlevel energy distance is much smaller than their tunnel splitting. The result is contrasted to the similar 2×1 model, in which one of the dots contains only one level. The latter model does not allow interference of the virtual transition amplitudes, and it is exactly solvable. In the 2×1 model, the probability for a particle, residing at time t in one dot, to remain in the same dot at t, falls off exponentially with tunnel coupling. By contrast, in the 2×2 model, this probability grows rapidly with tunnel coupling. The physical origin of this growth is the formation of the tunneling-induced collective states in the system of two dots. This can be viewed as a manifestation of the Dicke effect.

  • Figure
  • Figure
  • Figure
  • Received 4 August 2017
  • Revised 5 September 2017

DOI:https://doi.org/10.1103/PhysRevB.96.115437

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Rajesh K. Malla and M. E. Raikh

  • Department of Physics and Astronomy, University of Utah, Salt Lake City, Utah 84112, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 96, Iss. 11 — 15 September 2017

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×