Controlling and measuring quantum transport of heat in trapped-ion crystals

Abstract

Measuring heat flow through nanoscale systems poses formidable practical difficulties as there is no `ampere meter' for heat. We propose to overcome this problem by realizing heat transport through a chain of trapped ions. Laser cooling the chain edges to different temperatures induces a current of local vibrations (vibrons). We show how to efficiently control and measure this current, including fluctuations, by coupling vibrons to internal ion states. This demonstrates that ion crystals provide a suitable platform for studying quantum transport, e.g., through thermal analogues of quantum wires and quantum dots. Notably, ion crystals may give access to measurements of the elusive large fluctuations of bosonic currents and the onset of Fourier's law. These results are supported by numerical simulations for a realistic implementation with specific ions and system parameters.

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References in corpus (15)

• Quantum Computing
• Quantum computing with trapped ions
• Energy Dissipation and Transport in Nanoscale Devices
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Single ion heat engine with maximum efficiency at maximum power
• Complete methods set for scalable ion trap quantum information processing
• Structural phase transitions in low-dimensional ion crystals
• Electron counting in quantum dots
• Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions
• Double wells, scalar fields and quantum phase transitions in ions traps
• Fourier's Law confirmed for a class of small quantum systems
• Sympathetic EIT laser cooling of motional modes in an ion chain
• Memory coherence of a sympathetically cooled trapped-ion qubit
• Thermalization and temperature distribution in a driven ion chain
• Localization of phonons in ion traps with controlled quantum disorder

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