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 …

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 …

Emergent models for gravity: an overview of microscopic models

L Sindoni - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2012 - emis.de
We give a critical overview of various attempts to describe gravity as an emergent
phenomenon, starting from examples of condensed matter physics, to arrive to more …

Anisotropic optics and gravitational lensing of tilted Weyl fermions

V Könye, L Mertens, C Morice, D Chernyavsky… - Physical Review B, 2023 - APS
We show that tilted Weyl semimetals with a spatially varying tilt of the Weyl cones provide a
platform for studying analogs to problems in anisotropic optics as well as curved spacetime …

Horizon physics of quasi-one-dimensional tilted Weyl cones on a lattice

V Könye, C Morice, D Chernyavsky… - Physical Review …, 2022 - APS
To simulate the dynamics of massless Dirac fermions in curved space-times with one, two,
and three spatial dimensions, we construct tight-binding Hamiltonians with spatially varying …

Quantum dynamics in 1D lattice models with synthetic horizons

C Morice, D Chernyavsky, J van Wezel… - SciPost Physics …, 2022 - scipost.org
We investigate the wave packet dynamics and eigenstate localization in recently proposed
generalized lattice models whose low-energy dynamics mimic a quantum field theory in (1+ …

Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces

R Zhang, C Lv, Y Yan, Q Zhou - Science Bulletin, 2021 - Elsevier
Engineering lattice models with tailored inter-site tunnelings and onsite energies could
synthesize essentially arbitrary Riemannian surfaces with highly tunable local curvatures …

Emergence of spacetime in a restricted spin-foam model

S Steinhaus, J Thürigen - Physical Review D, 2018 - APS
The spectral dimension has proven to be a very informative observable to understand the
properties of quantum geometries in approaches to quantum gravity. In loop quantum gravity …

Ensembles of physical states and random quantum circuits on graphs

A Hamma, S Santra, P Zanardi - Physical Review A—Atomic, Molecular, and …, 2012 - APS
In this paper we continue and extend the investigations of the ensembles of random physical
states introduced in Hamma et al.[Phys. Rev. Lett. 109, 040502 (2012) PRLTAO 0031-9007 …

Information sharing in quantum complex networks

A Cardillo, F Galve, D Zueco, J Gómez-Gardenes - Physical Review A—Atomic …, 2013 - APS
We introduce the use of entanglement entropy as a tool for studying the amount of
information shared between the nodes of quantum complex networks. By considering the …