Quantum Simulation of a Hyperbolically Driven Quantum System with Superconducting Circuits
Abstract
Hyperbolic geometry hosts a plethora of exotic quantum phenomena ranging from holographic duality to novel topological phases. However, investigating these effects experimentally remains challenging due to the Euclidean constraints of natural crystalline materials. While recent synthetic lattices have achieved static realizations, they often lack the dynamical tunability required to explore the full geometric landscape. Here, we overcome these limitations by implementing a quantum simulation of hyperbolic geometry within the parameter space of a superconducting quantum circuit. We construct a Hyperbolically Driven Quantum System (HDQS) by mapping the hyperbolic properties onto the dynamically controllable Hamiltonian parameters. By probing the systems' response under geometric quantum driving, we elucidate how the intrinsic geometry of the parameter space dictates observable physical quantities. Furthermore, we extend the theoretical framework to realize ensemble simulation. This generalization enables us to harness the fast coherent control of superconducting qubits to capture essential geometric characteristics, establishing a versatile platform for exploring quantum dynamics on hyperbolic manifolds.
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BibTeX
@misc{che2026quantum,
title = {{Quantum Simulation of a Hyperbolically Driven Quantum System with Superconducting Circuits}},
author = {Han-xin Che and Yangyang Yu and Tao Zhang and Wen Zheng and Hai-Feng Yu and Xinsheng Tan and Yang Yu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11081},
eprint = {2610.11081},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11081},
}
RIS
TY - UNPB
TI - Quantum Simulation of a Hyperbolically Driven Quantum System with Superconducting Circuits
AU - Han-xin Che
AU - Yangyang Yu
AU - Tao Zhang
AU - Wen Zheng
AU - Hai-Feng Yu
AU - Xinsheng Tan
AU - Yang Yu
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.11081
UR - https://arxiv.org/abs/2610.11081
AB - Hyperbolic geometry hosts a plethora of exotic quantum phenomena ranging from holographic duality to novel topological phases. However, investigating these effects experimentally remains challenging due to the Euclidean constraints of natural crystalline materials. While recent synthetic lattices have achieved static realizations, they often lack the dynamical tunability required to explore the full geometric landscape. Here, we overcome these limitations by implementing a quantum simulation of hyperbolic geometry within the parameter space of a superconducting quantum circuit. We construct a Hyperbolically Driven Quantum System (HDQS) by mapping the hyperbolic properties onto the dynamically controllable Hamiltonian parameters. By probing the systems' response under geometric quantum driving, we elucidate how the intrinsic geometry of the parameter space dictates observable physical quantities. Furthermore, we extend the theoretical framework to realize ensemble simulation. This generalization enables us to harness the fast coherent control of superconducting qubits to capture essential geometric characteristics, establishing a versatile platform for exploring quantum dynamics on hyperbolic manifolds.
ER -