The Kitaev–Feynman Clock for Open Quantum Systems

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The Kitaev–Feynman Clock for Open Quantum Systems

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Title: The Kitaev–Feynman Clock for Open Quantum Systems
Author: Tempel, David; Aspuru-Guzik, Alan

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Citation: Tempel, David G, and Alán Aspuru-Guzik. 2014. The Kitaev–Feynman Clock for Open Quantum Systems. New J. Phys. 16 (11) (November 26): 113066. doi:10.1088/1367-2630/16/11/113066.
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Abstract: We show that Kitaevʼs construction of Feynmanʼs clock, in which the time-evolution of a closed quantum system is encoded as a ground state problem, can be extended to open quantum systems. In our formalism, the ground states of an ensemble of non-Hermitian Kitaev–Feynman clock Hamiltonians yield stochastic trajectories, which unravel the evolution of a Lindblad master equation. In this way, one can use the Kitaev–Feynman clock not only to simulate the evolution of a quantum system, but also its interaction with an environment such as a heat bath or measuring apparatus. A simple numerical example of a two-level atom undergoing spontaneous emission is presented and analyzed.
Published Version: doi:10.1039/C5SC03234B
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