Phenomenology of the prethermal many-body localized regime
The dynamical phase diagram of interacting disordered systems has seen substantial
revision over the past few years. Theory must now account for a large prethermal many-body …
revision over the past few years. Theory must now account for a large prethermal many-body …
Krylov complexity as an order parameter for quantum chaotic-integrable transitions
Krylov complexity has recently emerged as a new paradigm to characterize quantum chaos
in many-body systems. However, which features of Krylov complexity are prerogative of …
in many-body systems. However, which features of Krylov complexity are prerogative of …
Adiabatic eigenstate deformations and weak integrability breaking of Heisenberg chain
We consider the spin-1 2 Heisenberg chain (XXX model) weakly perturbed away from
integrability by an isotropic next-to-nearest neighbor exchange interaction. Recently, it was …
integrability by an isotropic next-to-nearest neighbor exchange interaction. Recently, it was …
Modave lectures on de Sitter space & holography
DA Galante - 2023 - inspirehep.net
These lecture notes provide an overview of different aspects of de Sitter space and their
plausible holographic interpretations. We start with a general description of the classical …
plausible holographic interpretations. We start with a general description of the classical …
Spectral statistics of a minimal quantum glass model
Glasses have the interesting feature of being neither integrable nor fully chaotic. They
thermalize quickly within a subspace but thermalize much more slowly across the full space …
thermalize quickly within a subspace but thermalize much more slowly across the full space …
A Lanczos approach to the adiabatic gauge potential
B Bhattacharjee - arXiv preprint arXiv:2302.07228, 2023 - arxiv.org
The Adiabatic Gauge Potential (AGP) is the generator of adiabatic deformations between
quantum eigenstates. There are many ways to construct the AGP operator and evaluate the …
quantum eigenstates. There are many ways to construct the AGP operator and evaluate the …
Renormalisation group flows of deformed SYK models
D Anninos, DA Galante, SU Sheorey - Journal of High Energy Physics, 2023 - Springer
A bstract We explore computationally tractable deformations of the SYK model. The
deformed theories are described by the sum of two SYK Hamiltonians with differing …
deformed theories are described by the sum of two SYK Hamiltonians with differing …
Role of Fock-space correlations in many-body localization
Models of many-body localization (MBL) can be represented as tight-binding models in the
many-body Hilbert space (Fock space). We explore the role of correlations between matrix …
many-body Hilbert space (Fock space). We explore the role of correlations between matrix …
Hayden-Preskill recovery in Hamiltonian systems
Information scrambling refers to the unitary dynamics that quickly spreads and encodes
localized quantum information over an entire many-body system and makes the information …
localized quantum information over an entire many-body system and makes the information …
Ergodicity-to-localization transition on random regular graphs with large connectivity and in many-body quantum dots
Anderson localization on random regular graphs (RRG) serves as a toy-model of many-body
localization (MBL). We explore the transition from ergodicity to localization on RRG with …
localization (MBL). We explore the transition from ergodicity to localization on RRG with …