Landau-Zener transitions in a two-level system coupled to a finite-temperature harmonic oscillator

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Abstract

We consider the Landau-Zener problem for a two-level system (or qubit) when this system interacts with one harmonic oscillator mode that is initially set to a finite-temperature thermal equilibrium state. The oscillator could represent an external mode that is strongly coupled to the qubit, e.g., an ionic oscillation mode in a molecule, or it could represent a prototypical uncontrolled environment. We analyze the qubit's occupation probabilities at the final time in a number of regimes, varying the qubit and oscillator frequencies, their coupling strength, and the temperature. In particular, we find a surprising nonmonotonic dependence on the coupling strength and temperature.

Original languageEnglish
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume90
Issue number6
DOIs
Publication statusPublished - 16 Dec 2014

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harmonic oscillators
oscillators
occupation
temperature
oscillations
molecules

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

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AB - We consider the Landau-Zener problem for a two-level system (or qubit) when this system interacts with one harmonic oscillator mode that is initially set to a finite-temperature thermal equilibrium state. The oscillator could represent an external mode that is strongly coupled to the qubit, e.g., an ionic oscillation mode in a molecule, or it could represent a prototypical uncontrolled environment. We analyze the qubit's occupation probabilities at the final time in a number of regimes, varying the qubit and oscillator frequencies, their coupling strength, and the temperature. In particular, we find a surprising nonmonotonic dependence on the coupling strength and temperature.

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