Nonperturbative electron dynamics in crossed fields

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 8, 2002, Pages 853251-8532510

  Villas Boas J M ^a,b   Zhang, Wei ^a   Ulloa, Sergio E ^a   Rivera, P H ^b   Studart, Nelson ^b  

^a OHIO UNIVERSITY   (United States)

^b FEDERAL UNIVERSITY OF SÃO CARLOS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; DYNAMICS; ELECTRIC FIELD; ELECTRON; MAGNETIC FIELD; MOTION; PHYSICS; QUANTUM MECHANICS; SEMICONDUCTOR; SPECTROSCOPY; THEORY;

EID: 3543009496     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.085325     Document Type: Article

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44. This value is obtained from a direct solution of such two-well potential. The next excited states are in the continuum, out of the potential well and basically uncoupled in the range of fields and frequencies we consider here.
45. We should point out that our numerical finding routine of the crossing points has finite accuracy, and the shallower slopes in the spectrum allow a finer, more accurate, determination of the degeneracy point, which may result in slightly better defined localization at higher F. Further refinements of the Ii points yield generally better localization, although this improvement saturates especially for large Δ/ℏω ratios (see discussion below for Fig. 7), and we are certain the behavior is physical and not a numerical artifact.
46. Notice that for Δ/ℏω=odd, the quasienergies show no gap at F=0, but split quadratically away, similar to an anticrossing behavior. This however, does not yield dynamic localization and agree with a set of solutions to Eq. (13).