Dissipative Landau-Zener level crossing subject to continuous measurement: Excitation despite decay

Abstract

The Landau-Zener formula provides an analytical expression for the final excitation of a quantum system after passage of an avoided crossing of two energy levels. If the two levels correspond to a ground state, and to an excited state which is subject to radiative decay, the probability of exciting the system by adiabatic passage of the level crossing is reduced. In this article we use a stochastic master equation to study the level crossing dynamics when the system is subject to continuous probing of the emitted radiation. The measurement backaction on the system associated with the fluctuating homodyne detection record alters the level crossing dynamics, leading to significant excitation in spite of decay and imperfect transfer.

arXiv comment7 pages, 8 figures

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• Quantum fluctuation theorems and power measurements
• Interplay of charge noise and coupling to phonons in adiabatic electron transfer between quantum dots
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• Landau-Zener evolution under weak measurement: Manifestation of the Zeno effect under diabatic and adiabatic measurement protocols
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• Maximally entangled Rydberg-atom pairs via Landau-Zener sweeps
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