Landau-Zener transitions in an open multilevel quantum system

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Abstract

We consider the Landau-Zener problem for a multilevel quantum system that is coupled to an external environment. In particular, we consider a number of cases of three-level systems coupled to a harmonic oscillator that represents the external environment. We find that, similar to the case of the Landau-Zener problem with a two-level system, when the quantum system and the environment are both initially in their ground states the probability that the system remains in the same quantum state is not affected by the coupling to the environment. The final occupation probabilities of the other states are well described by a common general principle: the coupling to the environment turns each Landau-Zener transition process in the closed system into a sequence of smaller transitions in the combined Hilbert space of the system and environment, and this sequence of transitions lasts a total duration that increases with increasing system-environment coupling strength. These results provide an intuitive understanding of Landau-Zener transitions in open multilevel quantum systems.

Original languageEnglish
Article number042109
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume94
Issue number4
DOIs
Publication statusPublished - 14 Oct 2016

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Hilbert space
occupation
harmonic oscillators
ground state

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Landau-Zener transitions in an open multilevel quantum system. / Ashhab, Sahel.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 94, No. 4, 042109, 14.10.2016.

Research output: Contribution to journalArticle

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