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Recently, [1] Han and Heary introduced a formalism approaching steady-state
quantum transport through mesoscopic structures which maps the non-equilibrium
problem onto a family of auxiliary equilibrium quantum impurity systems by introducing
imaginary voltages. In [2] we applied continuous-time QMC in order to obtain accurate unbiased imaginary-time data for the formalism and analytically continued it with a Maximum Entropy Method (MEM) using a function-theoretical description.
The analytical continuation in both, the Matsubara frequency and complexified voltage, was introduced by means of a kernel function
compatible with the analytical structure of the theory. While a good predictive power was observed for equilibrium systems, the limited set of QMC data which was includable into the approach for analytic continuation restricted the applicability to the non-equilibrium case.
We present an unbiased generalization of the analytic continuation approach which is applicable to the full set of QMC data. MEM results obtained for the resulting linear inverse problem are shown.
[1] J. E. Han and R. J. Heary, Phys. Rev. Lett. 99, 236808 (2007) [2] Dirks, Werner, Jarrell, Pruschke; Phys. Rev. E 82, 026701 (2010) |
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