Nonequilibrium boundary-driven quantum systems: Models, methods, and properties

GT Landi, D Poletti, G Schaller - Reviews of Modern Physics, 2022 - APS
Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

Colloquium: Many-body localization, thermalization, and entanglement

DA Abanin, E Altman, I Bloch, M Serbyn - Reviews of Modern Physics, 2019 - APS
Thermalizing quantum systems are conventionally described by statistical mechanics at
equilibrium. However, not all systems fall into this category, with many-body localization …

Kan: Kolmogorov-arnold networks

Z Liu, Y Wang, S Vaidya, F Ruehle, J Halverson… - arXiv preprint arXiv …, 2024 - arxiv.org
Inspired by the Kolmogorov-Arnold representation theorem, we propose Kolmogorov-Arnold
Networks (KANs) as promising alternatives to Multi-Layer Perceptrons (MLPs). While MLPs …

Observation of interaction-induced mobility edge in an atomic Aubry-André wire

Y Wang, JH Zhang, Y Li, J Wu, W Liu, F Mei, Y Hu… - Physical Review Letters, 2022 - APS
A mobility edge, a critical energy separating localized and extended excitations, is a key
concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm …

Spectroscopic signatures of localization with interacting photons in superconducting qubits

P Roushan, C Neill, J Tangpanitanon, VM Bastidas… - Science, 2017 - science.org
Quantized eigenenergies and their associated wave functions provide extensive information
for predicting the physics of quantum many-body systems. Using a chain of nine …

Observation of many-body localization in a one-dimensional system with a single-particle mobility edge

T Kohlert, S Scherg, X Li, HP Lüschen, S Das Sarma… - Physical review …, 2019 - APS
We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-
dimensional quasiperiodic potential, which in the noninteracting limit exhibits an …

Signatures of many-body localization in a controlled open quantum system

HP Lüschen, P Bordia, SS Hodgman, M Schreiber… - Physical Review X, 2017 - APS
In the presence of disorder, an interacting closed quantum system can undergo many-body
localization (MBL) and fail to thermalize. However, over long times, even weak couplings to …

Single-particle mobility edge in a one-dimensional quasiperiodic optical lattice

HP Lüschen, S Scherg, T Kohlert, M Schreiber… - Physical review …, 2018 - APS
A single-particle mobility edge (SPME) marks a critical energy separating extended from
localized states in a quantum system. In one-dimensional systems with uncorrelated …

Generalized Aubry-André self-duality and mobility edges in non-Hermitian quasiperiodic lattices

T Liu, H Guo, Y Pu, S Longhi - Physical Review B, 2020 - APS
We demonstrate the existence of generalized Aubry-André self-duality in a class of non-
Hermitian quasiperiodic lattices with complex potentials. From the self-duality relations, the …

Mobility edges in one-dimensional bichromatic incommensurate potentials

X Li, X Li, S Das Sarma - Physical Review B, 2017 - APS
We theoretically study a one-dimensional (1D) mutually incommensurate bichromatic lattice
system, which has been implemented in ultracold atoms to study quantum localization. It has …