Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Quantum Simulation

The O\(n→infty\) Rotor Model and the Quantum Spherical Model on Graphs

arXiv
Authors: Nikita Titov, Andrea Trombettoni

Year

2026

Paper ID

3565

Status

Preprint

Abstract Read

~2 min

Abstract Words

121

Citations

N/A

Abstract

We show that the large n limit of the O(n) quantum rotor model defined on a general graph has the same critical behavior as the corresponding quantum spherical model and that the critical exponents depend solely on the spectral dimension ds of the graph. To this end, we employ a classical to quantum mapping and use known results for the large n limit of the classical O(n) model on graphs. Away from the critical point, we discuss the interplay between the Laplacian and the Adjacency matrix in the whole parameter plane of the quantum Hamiltonian. These results allow us to paint the full picture of the O(n) quantum rotor model on graphs in the large n limit.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We show that the large n limit of the O(n) quantum rotor model defined on a general graph has the same critical behavior as the corresponding quantum spherical model and that...

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.14119 [2] arXiv https://arxiv.org/abs/2601.14119 [3] Publisher https://arxiv.org/abs/2601.14119

Local Citation Graph (Related-Paper Links)

Current Paper #3565 #78846 Analog quantum simulation of Sh... #78810 Secure Quantum Handshakes: Quan... #78802 Quantum Co-Design of Inhomogene... #78801 Constructing Large and Structur...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.