Thermodynamics of interacting many-body quantum systems
- URL: http://arxiv.org/abs/2112.11493v1
- Date: Tue, 21 Dec 2021 19:18:09 GMT
- Title: Thermodynamics of interacting many-body quantum systems
- Authors: Marlon Brenes
- Abstract summary: In this PhD thesis I summarise some of the most important results obtained over the duration of my PhD.
The topics of discussion encompass three main themes: spin/particle transport in non-integrable systems, explorations in eigenstate thermalisation and finite-temperature transport in autonomous thermal machines.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Technological and scientific advances have given rise to an era in which
coherent quantum-mechanical phenomena can be probed and experimentally-realised
over unprecedented timescales in condensed matter physics. In turn, scientific
interest in non-equilibrium dynamics and irreversibility signatures of
thermodynamics has taken place in recent decades, particularly in relation to
cold-atom platforms and thermoelectric devices.
In this PhD thesis I summarise some of the most important results obtained
over the duration of my PhD, on the topic of thermodynamics involving
interacting many-body quantum systems. The topics of discussion encompass three
main themes: spin/particle transport in non-integrable systems, explorations in
eigenstate thermalisation and finite-temperature transport in autonomous
thermal machines.
By questioning the effect of local integrability-breaking perturbations, I
describe the subtle effects that may rise from conservation laws and their
connection to linear response transport using microscopic models. Then, I
describe thermalisation in the context of the eigenstate thermalisation
hypothesis and its consequence to multipartite entanglement and high-order
correlation functions. Finally, motivated by the necessity of describing
quantum thermal machines in the finite-temperature regime, I introduce a novel
tensor-network based method to investigate thermodynamic properties of
autonomous machines that employ interacting many-body systems as working media.
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