Abstract
We study the quantum transport of bosons through a quantum dot coupled to two macroscopic heat baths L and R, held at fixed temperatures TL and TR respectively. We manage to cast the particle as well as the heat current into the Landauer form. Following the correlation matrix approach, we compute the time-dependent mutual information of the dot with the baths. We find that mutual information goes logarithmically as the number of bosons, and at low temperatures, it is possible to set up the parameters in such a way that in steady-state, the mutual information goes quadratically as a function of current.
Highlights
The Landauer approach to quantum transport [4] [5] [6] has been around for many decades, and has been developed extensively, only recently [7] has the connection between current through a quantum dot, and the quantum correlations that develop between the dot and the leads in a nonequilibrium setting, been shown to be intimate
We have verified that this system size is large enough to have converged to the thermodynamic limit
Since the transient behaviour of the current and the mutual information involves rapid changes, we focus on their steady state values
Summary
Quantum entanglement [1] has proven to be a useful quantity to probe in a variety of phenomena. 2. Model Hamiltonian The model consists of a quantum dot in the center coupled to two bosonic baths - left L and right R. The symmetry present in the energy levels and the coupling constants of the baths allows us to express the current in the Landauer form as
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