Circuit quantum electrodynamics in hyperbolic space: from photon bound states to frustrated spin models

P Bienias, I Boettcher, R Belyansky, AJ Kollár… - Physical Review Letters, 2022 - APS
Circuit quantum electrodynamics is one of the most promising platforms for efficient quantum
simulation and computation. In recent groundbreaking experiments, the immense flexibility …

Quantum simulation of hyperbolic space with circuit quantum electrodynamics: From graphs to geometry

I Boettcher, P Bienias, R Belyansky, AJ Kollár… - Physical Review A, 2020 - APS
We show how quantum many-body systems on hyperbolic lattices with nearest-neighbor
hop** and local interactions can be mapped onto quantum field theories in continuous …

Hubbard and Heisenberg models on hyperbolic lattices: Metal-insulator transitions, global antiferromagnetism, and enhanced boundary fluctuations

A Götz, G Rein, JC Inácio, FF Assaad - Physical Review B, 2024 - APS
We study the Hubbard and Heisenberg models on hyperbolic lattices with open boundary
conditions by means of mean-field approximations, spin-wave theory, and quantum Monte …

Quantum phase transitions of interacting bosons on hyperbolic lattices

X Zhu, J Guo, NP Breuckmann, H Guo… - Journal of Physics …, 2021 - iopscience.iop.org
The effect of many-body interaction in curved space is studied based on the extended Bose–
Hubbard model on hyperbolic lattices. Using the mean-field approximation and quantum …

Spherical deformation for one-dimensional quantum systems

A Gendiar, R Krcmar, T Nishino - Progress of Theoretical …, 2009 - academic.oup.com
Abstract System-size dependence of the ground-state energy EN is investigated for N-site
one-dimensional (1D) quantum systems with open boundary condition, where the …

Hyperscaling above the upper critical dimension

B Berche, R Kenna, JC Walter - Nuclear Physics B, 2012 - Elsevier
Above the upper critical dimension, the breakdown of hyperscaling is associated with
dangerous irrelevant variables in the renormalization group formalism at least for systems …

Random-bond Ising model and its dual in hyperbolic spaces

B Placke, NP Breuckmann - Physical Review E, 2023 - APS
We analyze the thermodynamic properties of the random-bond Ising model (RBIM) on
closed hyperbolic surfaces using Monte Carlo and high-temperature series expansion …

Hyperbolic lattice for scalar field theory in

RC Brower, CV Cogburn, E Owen - Physical Review D, 2022 - APS
We construct a tessellation of AdS 3, by extending the equilateral triangulation of AdS 2 on
the Poincaré disk based on the (2, 3, 7) triangle group, suitable for studying strongly coupled …

HYPERTILING—a high performance Python library for the generation and visualization of hyperbolic lattices

M Schrauth, Y Thurn, F Goth, J Portela… - SciPost Physics …, 2024 - scipost.org
HYPERTILING is a high-performance Python library for the generation and visualization of
regular hyperbolic lattices embedded in the Poincar\'e disk model. Using highly optimized …

Periodic boundary conditions on the pseudosphere

F Sausset, G Tarjus - Journal of Physics A: Mathematical and …, 2007 - iopscience.iop.org
We provide a framework for building periodic boundary conditions on the pseudosphere (or
hyperbolic plane), the infinite two-dimensional Riemannian space of constant negative …