Memory effects in non-interacting mesoscopic transport

Abstract

Consider a quantum dot coupled to two semi-infinite one-dimensional leads at thermal equilibrium. We turn on adiabatically a bias between the leads such that there exists exactly one discrete eigenvalue both at the beginning and at the end of the switching procedure. It is shown that the expectation on the final bound state strongly depends on the history of the switching procedure. On the contrary, the contribution to the final steady-state corresponding to the continuous spectrum has no memory, and only depends on the initial and final values of the bias.

17 pages, submitted

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Cited by in corpus (6)

• Geometry-induced memory effects in isolated quantum systems: Observations and applications
• Landauer transport as a quasisteady state on finite chains under unitary quantum dynamics
• Boundary-induced dynamics in 1D topological systems and memory effects of edge modes
• Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems
• On the adiabatic theorem when eigenvalues dive into the continuum
• On the self-consistent Landauer-Büttiker formalism