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arXiv:cond-mat/9911333 · Lecture notes in physics

Nonequilibrium Mesoscopic Conductors Driven by Reservoirs

Akira Shimizu, Hiroaki Kato

Published Jan 1, 1999• 5 citations
arXivHTMLPDF
DOI
10.1007/3-540-46438-7_1

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•Oct 11, 1999•194 citations
We investigate the size scaling of the entanglement entropy (EE) in nonequilibrium steady states (NESSs) of a one-dimensional open quantum system with a random potential. It models a mesoscopic conductor, composed of a long quantum wire (QWR) with impurities and two electron reservoirs at zero temperature. The EE at equilibrium obeys the logarithmic law. However, in NESSs far from equilibrium the EE grows anomalously fast, obeying the `quasi volume law,' although the conductor is driven by the zero-temperature reservoirs. This anomalous behavior arises from both the far from equilibrium condition and multiple scatterings due to impurities.
We propose to generate heat pulses in mesoscopic conductors using light fields. In contrast to single-electron excitations such as levitons, which are created by accurate voltage drives, our approach relies on modulating the temperature of an electronic reservoir. To this end, we show that the interactions with a light field can induce a controllable time-dependent temperature in an electrode. The temperature modulations generate charge-neutral heat pulses that can be emitted into a mesoscopic conductor and detected in the outputs. We illustrate our approach by evaluating the time-dependent currents and their fluctuations using a tight-binding model of two electronic reservoirs connected by a quantum point contact. Our work establishes a route towards on-demand caloritronics, where energy rather than charge carries quantum information, and it paves the way for probing time-resolved heat transport and quantum coherence in thermally driven conductors.
Basic Concepts. Canonical Quantization. Quantum States of the Electromagnetic Fields. Coherence of the Electromagnetic Fields. Quantum States of Atoms. Interaction between Atoms and Fields. Mathematical Methods for System-Reservoir Interaction. Stochastic Wavefunction Methods. Quantum Nondemolition Measurements. Semiconductor Bloch Equations. Excitons and Polaritons. Coulomb Blockade and Squeezing. Current Noise in Mesoscopic and Macroscopic Conductors. Nonequilibrium Green's Function Formalism. Quantum Statistical Properties of a Laser. Index.