Peter A. Rose, Andrew C. McClung, Tyler E. Keating, Adam T. C. Steege, Eric S. Egge, Arjendu K. Pattanayak
We present a derivation for the evolution of any general quantum state in a Linear Markovian bath expressed in the number basis. This solution, a useful complement to that derived in the characteristic function space, allows for the study of the decoherence of general quantum states through the use of multiple Hilbert-Space measures of classicality and "quantumness", as well as the negative volume of the Wigner function. We explore the benefits and difficulties presented by each measure, and show that they all display qualitatively similar behavior. Specifically, in the absence of environmental coupling, the "quantumness" of harmonic oscillator eigenstates |n> increases monotonically. However, we show that when the system undergoes decoherence, a time-dependent peak in "quantumness" occurs. We further explore the more complex landscape of other initial conditions.
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http://arxiv.org/abs/1206.3356
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