Figure 2 | Scientific Reports

Figure 2

From: Canonical Hamiltonian ensemble representation of dephasing dynamics and the impact of thermal fluctuations on quantum-to-classical transition

Figure 2

(a) Random phase model of qubit pure dephasing. The ensemble of red arrows denotes the random unitary rotations generated by \(\hbar \omega {\hat{\sigma }}_z/2\). The opacity reflects that each of the unitary operators \(\widehat{U}_\omega\) is weighted by the probability distribution \(p(\omega )\). The ensemble-averaged state, denoted by the blue arrow, then undergoes a pure dephasing dynamics. (b) The probability distribution function \(p(\omega )\) fully determines the pure dephasing dynamics via the Fourier transform; consequently, it is promoted to a representation of qubit pure dephasing in frequency domain.

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