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arXiv · 1104.5104

Energy-time uncertainty relation for driven quantum systems

Sebastian Deffner·Eric Lutz
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Abstract

We derive generalizations of the energy-time uncertainty relation for driven quantum systems. Using a geometric approach based on the Bures length between mixed quantum states, we obtain explicit expressions for the quantum speed limit time, valid for arbitrary initial and final quantum states and arbitrary driving protocols. Our results establish the fundamental limit on the rate of evolution of generic quantum systems.

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Sebastian Deffner, Eric Lutz. 2013-08-07. Energy-time uncertainty relation for driven quantum systems. https://doi.org/10.1088/1751-8113%2F46%2F33%2F335302

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