Circuit quantum electrodynamics in hyperbolic space: from photon bound states to frustrated spin models
Circuit quantum electrodynamics is one of the most promising platforms for efficient quantum
simulation and computation. In recent groundbreaking experiments, the immense flexibility …
simulation and computation. In recent groundbreaking experiments, the immense flexibility …
Quantum simulation of hyperbolic space with circuit quantum electrodynamics: From graphs to geometry
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 …
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
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 …
conditions by means of mean-field approximations, spin-wave theory, and quantum Monte …
Quantum phase transitions of interacting bosons on hyperbolic lattices
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 …
Hubbard model on hyperbolic lattices. Using the mean-field approximation and quantum …
Spherical deformation for one-dimensional quantum systems
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 …
one-dimensional (1D) quantum systems with open boundary condition, where the …
Hyperscaling above the upper critical dimension
Above the upper critical dimension, the breakdown of hyperscaling is associated with
dangerous irrelevant variables in the renormalization group formalism at least for systems …
dangerous irrelevant variables in the renormalization group formalism at least for systems …
Random-bond Ising model and its dual in hyperbolic spaces
We analyze the thermodynamic properties of the random-bond Ising model (RBIM) on
closed hyperbolic surfaces using Monte Carlo and high-temperature series expansion …
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 …
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 …
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 …
hyperbolic plane), the infinite two-dimensional Riemannian space of constant negative …