Dynamic heat transport in open quantum systems

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School of Science | Doctoral thesis (article-based) | Defence date: 2024-12-16
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Authors

Date

2024

Department

Teknillisen fysiikan laitos
Department of Applied Physics

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Mcode

Degree programme

Language

en

Pages

44 + app. 56

Series

Aalto University publication series DOCTORAL THESES, 231/2024

Abstract

Heat transport in driven nanoscale systems plays a critical role in quantum technologies and in non-equilibrium thermodynamics. More specifically, the investigation of time-dependent temperatures in quantum systems is a developing field that has seen recent progress in the context of quantum pumps and heat engines, especially in the adiabatic regime where geometric phases can be used to describe transport. In this thesis, we investigate a theoretical framework where temperature gradients are introduced in the Hamiltonian. The formalism was originally developed by Luttinger in the context of time-independent temperature gradients in electronic systems, where the temperature was controlled by a “gravitational” potential. We explore transport beyond the adiabatic regime, with a dynamic Luttinger potential, where finite frequency noise and fluctuation-dissipation theorems are relevant. The following chapters consist of the description of transport in different contexts. In chapter 2, we develop a Floquet scattering theory formalism for dynamic Luttinger potentials in non-interacting electronic systems, with an emphasis in electron quantum optics. In chapter 3 we characterize the spin-Boson model as a thermotronic device. In chapter 4 we model a finite effective environment with a time-dependent temperature, and develop techniques for calculating photon emission statistics using Gaussian states.

Description

Supervising professor

Flindt, Christian, Prof., Aalto University, Department of Applied Physics, Finland

Keywords

quantum transport, heat current, electron quantum optics, Spin-Boson model, open quantum systems

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Parts

  • [Publication 1]: Pedro Portugal, Christian Flindt, and Nicola Lo Gullo. Heat transport in a two-level system driven by a time-dependent temperature. Phys. Rev. B 104, 205420, November (2021).
    Full text in Acris/Aaltodoc: https://urn.fi/URN:NBN:fi:aalto-2021120810619
    DOI: 10.1103/PhysRevB.104.205420 View at publisher
  • [Publication 2]: Pedro Portugal, Fredrik Brange, and Christian Flindt. Effective temperature pulses in open quantum systems. Phys. Rev. Res. 4, 043112, (2022).
    Full text in Acris/Aaltodoc: https://urn.fi/URN:NBN:fi:aalto-202301181243
    DOI: 10.1103/PhysRevResearch.4.043112 View at publisher
  • [Publication 3]: Pedro Portugal, Fredrik Brange, Kalle S. U. Kansanen, Peter Samuelsson, and Christian Flindt. Photon emission statistics of a driven microwave cavity. Phys. Rev. Res. 5, 033091, Editor’s suggestion, (2023).
    Full text in Acris/Aaltodoc: https://urn.fi/URN:NBN:fi:aalto-202308305352
    DOI: 10.1103/PhysRevResearch.5.033091 View at publisher
  • [Publication 4]: Pedro Portugal, Fredrik Brange, and Christian Flindt. Heat Pulses in Electron Quantum Optics. Phys. Rev. Lett. 132, 256301, (2024).
    Full text in Acris/Aaltodoc: https://urn.fi/URN:NBN:fi:aalto-202407045071
    DOI: 10.1103/PhysRevLett.132.256301 View at publisher

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https://urn.fi/URN:ISBN:978-952-64-2102-5

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[diss] Perustieteiden korkeakoulu / SCI