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Journal Article

Formal Equivalence Between Partitioned and Partition-Free Quenches in Quantum Transport

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Tuovinen,  R.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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https://dx.doi.org/10.1007/s10909-018-1880-9
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Citation

Ridley, M., & Tuovinen, R. (2018). Formal Equivalence Between Partitioned and Partition-Free Quenches in Quantum Transport. Journal of Low Temperature Physics, 191(5-6, SI), 380-392. doi:10.1007/s10909-018-1880-9.


Cite as: https://hdl.handle.net/21.11116/0000-0001-A903-D
Abstract
In this paper, we review the partitioned and partition-free approaches to the calculation of the time-dependent response of a molecular junction to the switch-on of an arbitrary time-dependent bias. Using the nonequilibrium Green’s function formalism on different time contours, we derive a formal equivalence between these two approaches. This clarifies a recent result of Odashima and Lewenkopf (Phys Rev B 95:104301, 2017), which is valid for a static bias and single-level molecular structure, and extends it to arbitrary time-dependent biases and arbitrarily large molecular structures.