Landauer current and mutual information in a bosonic quantum dot

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 $T_L$ and $T_R$ 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.

6 pages, 4 figures, Conference proceedings of "Advances in Quantum Transport in Low Dimensional Systems" UC London, Sept 4-5, 2017

References in corpus (7)

• Area laws in quantum systems: mutual information and correlations
• Heat transport in harmonic lattices
• Entanglement negativity in the harmonic chain out of equilibrium
• Quantum Mutual Information as a Probe for Many-Body Localization
• Landauer Current and Mutual Information
• Quantum bounds on heat transport through nanojunctions
• Entanglement Entropy and Mutual Information in Bose-Einstein Condensates

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