[BUCH][B] The Jaynes–Cummings model and its descendants: modern research directions

J Larson, T Mavrogordatos - 2021 - iopscience.iop.org
The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …

Higher-order topological phases in crystalline and non-crystalline systems: a review

YB Yang, JH Wang, K Li, Y Xu - Journal of Physics: Condensed …, 2024 - iopscience.iop.org
Higher-order topological phases in crystalline and non-crystalline systems: a review Page 1
Journal of Physics: Condensed Matter ACCEPTED MANUSCRIPT • OPEN ACCESS Higher-order …

Hyperbolic band topology with non-trivial second Chern numbers

W Zhang, F Di, X Zheng, H Sun, X Zhang - Nature Communications, 2023 - nature.com
Topological band theory establishes a standardized framework for classifying different types
of topological matters. Recent investigations have shown that hyperbolic lattices in non …

Hyperbolic matter in electrical circuits with tunable complex phases

A Chen, H Brand, T Helbig, T Hofmann, S Imhof… - Nature …, 2023 - nature.com
Curved spaces play a fundamental role in many areas of modern physics, from cosmological
length scales to subatomic structures related to quantum information and quantum gravity. In …

Simulating hyperbolic space on a circuit board

PM Lenggenhager, A Stegmaier, LK Upreti… - Nature …, 2022 - nature.com
The Laplace operator encodes the behavior of physical systems at vastly different scales,
describing heat flow, fluids, as well as electric, gravitational, and quantum fields. A key input …

Simulating holographic conformal field theories on hyperbolic lattices

S Dey, A Chen, P Basteiro, A Fritzsche, M Greiter… - Physical Review Letters, 2024 - APS
We demonstrate how tabletop settings combining hyperbolic lattices with nonlinear
dynamics universally encode aspects of the bulk-boundary correspondence between gravity …

Automorphic Bloch theorems for hyperbolic lattices

J Maciejko, S Rayan - … of the National Academy of Sciences, 2022 - National Acad Sciences
Hyperbolic lattices are a new form of synthetic quantum matter in which particles effectively
hop on a discrete tessellation of two-dimensional (2D) hyperbolic space, a non-Euclidean …

Crystallography of hyperbolic lattices

I Boettcher, AV Gorshkov, AJ Kollár, J Maciejko… - Physical Review B, 2022 - APS
Hyperbolic lattices are a revolutionary platform for tabletop simulations of holography and
quantum physics in curved space and facilitate efficient quantum error correcting codes …

Anderson localization transition in disordered hyperbolic lattices

A Chen, J Maciejko, I Boettcher - Physical Review Letters, 2024 - APS
We study Anderson localization in disordered tight-binding models on hyperbolic lattices.
Such lattices are geometries intermediate between ordinary two-dimensional crystalline …

Hyperbolic topological band insulators

DM Urwyler, PM Lenggenhager, I Boettcher… - Physical Review Letters, 2022 - APS
Recently, hyperbolic lattices that tile the negatively curved hyperbolic plane emerged as a
new paradigm of synthetic matter, and their energy levels were characterized by a band …