184 citations · 2.1k across the 37 of their papers we have counts for
37 papers
Hyperbolic Matter in Electrical Circuits with Tunable Complex Phases
Anffany Chen, Hauke Brand, Tobias Helbig +11
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. I…
Hyperbolic Topological Band Insulators
David M. Urwyler, Patrick M. Lenggenhager, Igor Boettcher +3
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 s…
Selberg trace formula in hyperbolic band theory
Adil Attar, Igor Boettcher
We apply Selberg's trace formula to solve problems in hyperbolic band theory, a recently developed extension of Bloch theory to model band structures on experimentally realized hyp…
Universality of Hofstadter butterflies on hyperbolic lattices
Alexander Stegmaier, Lavi K. Upreti, Ronny Thomale +1
Motivated by recent experimental breakthroughs in realizing hyperbolic lattices in superconducting waveguides and electric circuits, we compute the Hofstadter butterfly on regular…
Simulating hyperbolic space on a circuit board
Patrick M. Lenggenhager, Alexander Stegmaier, Lavi K. Upreti +12
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 ke…
Circuit Quantum Electrodynamics in Hyperbolic Space: From Photon Bound States to Frustrated Spin Models
Przemyslaw Bienias, Igor Boettcher, Ron Belyansky +2
Circuit quantum electrodynamics is one of the most promising platforms for efficient quantum simulation and computation. In recent groundbreaking experiments, the immense flexibili…