Condensed Matter Seminars

The goal of this seminar is to provide an overview of our recent work. We will discuss connections between operator space entanglement of unitary dynamics, OTOCs, and entropy production as introduced in [1]. How to 'disentangle' contributions from decoherence vs. scrambling for open quantum systems [2]. How finite temperature 'regularized' OTOCs are related to spectral form factors and the entanglement of the time-evolved thermofield double state [3]. An intermezzo about the connection between the quantum coherence-generating power of a unitary, OTOCs of random diagonal unitaries, and distances between maximally abelian subalgebras [4]. A unifying operator algebraic framework for scrambling that is useful for both closed and open quantum systems [5]. How OTOCs behave in local non-Hermitian Hamiltonians (effective models for measurement-induced phase transitions) [6]. And finally, an application of some of these techniques to a dual-unitary classical shadow tomography scheme [7]

[1] Phys. Rev. Lett. 126, 030601 (2021)

[2] Phys. Rev. A 103, 062214 (2021)

[3] Quantum 6, 746 (2022)

[4] Phys. Rev. Research 3, 023214 (2021)

[5] Phys. Rev. A 107, 042217 (2023) [Editors' Suggestion]

[6] Phys. Rev. B 108, 134305 (2023) [Editors' Suggestion]

[7] arXiv:2404.01068 (2024) [quant-ph]