A bifurcation phenomenon of Stokes curves around a double turning point, and influence of virtual turning points upon the transition probabilities for three-level systems

Shinji Sasaki

doi:10.1016/j.aim.2016.06.025

A bifurcation phenomenon of Stokes curves around a double turning point, and influence of virtual turning points upon the transition probabilities for three-level systems

Shinji Sasaki

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We study the non-adiabatic transition problem of three-level systems from the viewpoint of the exact WKB analysis. We show the importance of virtual turning points and new Stokes curves in this problem by presenting some concrete examples where the contribution of virtual turning points to transition probabilities becomes greater than that of ordinary turning points. In the course of our discussion we encounter a bifurcation phenomenon of Stokes curves around a double turning point, and we investigate this issue as well.

Original language	English
Pages (from-to)	711-738
Number of pages	28
Journal	Advances in Mathematics
Volume	301
DOIs	https://doi.org/10.1016/j.aim.2016.06.025
Publication status	Published - 2016 Oct 1
Externally published	Yes

Keywords

Exact WKB analysis
New Stokes curve
Non-adiabatic transition
Three-level system
Virtual turning point

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.aim.2016.06.025

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title = "A bifurcation phenomenon of Stokes curves around a double turning point, and influence of virtual turning points upon the transition probabilities for three-level systems",

abstract = "We study the non-adiabatic transition problem of three-level systems from the viewpoint of the exact WKB analysis. We show the importance of virtual turning points and new Stokes curves in this problem by presenting some concrete examples where the contribution of virtual turning points to transition probabilities becomes greater than that of ordinary turning points. In the course of our discussion we encounter a bifurcation phenomenon of Stokes curves around a double turning point, and we investigate this issue as well.",

keywords = "Exact WKB analysis, New Stokes curve, Non-adiabatic transition, Three-level system, Virtual turning point",

author = "Shinji Sasaki",

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AU - Sasaki, Shinji

PY - 2016/10/1

Y1 - 2016/10/1

N2 - We study the non-adiabatic transition problem of three-level systems from the viewpoint of the exact WKB analysis. We show the importance of virtual turning points and new Stokes curves in this problem by presenting some concrete examples where the contribution of virtual turning points to transition probabilities becomes greater than that of ordinary turning points. In the course of our discussion we encounter a bifurcation phenomenon of Stokes curves around a double turning point, and we investigate this issue as well.

AB - We study the non-adiabatic transition problem of three-level systems from the viewpoint of the exact WKB analysis. We show the importance of virtual turning points and new Stokes curves in this problem by presenting some concrete examples where the contribution of virtual turning points to transition probabilities becomes greater than that of ordinary turning points. In the course of our discussion we encounter a bifurcation phenomenon of Stokes curves around a double turning point, and we investigate this issue as well.

KW - Exact WKB analysis

KW - New Stokes curve

KW - Non-adiabatic transition

KW - Three-level system

KW - Virtual turning point

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SP - 711

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JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

A bifurcation phenomenon of Stokes curves around a double turning point, and influence of virtual turning points upon the transition probabilities for three-level systems

Abstract

Keywords

ASJC Scopus subject areas

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