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

Abstract

We analyze the dynamics and final populations in a 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 harmonic 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 different regimes, varying the qubit and oscillator frequencies, their coupling strength and the temperature. In particular we find some surprising non-monotonic dependence on the coupling strength and temperature.

7 pages (two-column), 6 figures

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• Landau-Zener transition in a two-level system coupled to a single highly-excited oscillator
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• Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
• Generalized Adiabatic Impulse Approximation
• Sudden death of entanglement induced by a minimal thermal environment
• Loss of adiabaticity with increasing tunneling gap in non-integrable multistate Landau-Zener models
• Dissipative dynamics of a driven qubit: interplay between non-adiabatic dynamics and noise effects from weak to strong coupling regime
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• Nonadiabatic transition at a band-touching point
• Improving quantum annealing by engineering the coupling to the environment
• Effect of decay of the final states on the probabilities of the Landau-Zener transitions in multistate non-integrable models
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