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- W4376135088 abstract "This thesis contributes to the study of quantum chaos and thermalization of closed quantum systems by applying tools from quantum information theory. We study scrambling – the delocalization of quantum information – in one-dimensional quantum many-body systems using the observable-independent tripartite information 𝐼3. We consider closed quantum systems that undergo unitary time evolution governed by a Hamiltonian, and compare them to the strong scrambling caused by random unitary operators (Haar scrambling). The tripartite information is a tool from quantum information theory that allows us to quantify correlations in space and time by considering the unitary operator evolving the system as a state |𝑈 (𝑡)⟩ in a doubled Hilbert space H ⊗ H. We found a ballistic spreading of information in translation invariant systems of spinless fermions that causes Haar scrambling in interacting models. For strongly disordered versions of the XXZ chain and the transverse-field Ising chain we found a complete breakdown of in- formation transport in non-interacting Anderson localized systems, as well as a logarithmically slow spreading of the information signal in systems that are said to be many-body localized (MBL)." @default.
- W4376135088 created "2023-05-12" @default.
- W4376135088 creator A5058039649 @default.
- W4376135088 date "2023-05-11" @default.
- W4376135088 modified "2023-10-18" @default.
- W4376135088 title "Tripartite Information and Scrambling in Quantum Many-Body Systems" @default.
- W4376135088 doi "https://doi.org/10.53846/goediss-9879" @default.
- W4376135088 hasPublicationYear "2023" @default.
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