Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Quantum Simulation Quantum Chemistry

Husimi distribution and phase-space analysis of a vibron-model quantum phase transition

arXiv

Authors: M. Calixto, R. del Real, E. Romera

Year

2014

Paper ID

47432

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

The Husimi distribution is proposed for a phase space analysis of quantum phase transitions in the two-dimensional U(3) vibron model for N-size molecules. We show that the inverse participation ratio and Wehrl's entropy of the Husimi distribution give sharp signatures of the quantum (shape) phase transition from linear to bent. Numerical results are complemented with a variational approach using parity-symmetry-adapted U(3) coherent states, which reach the minimum Wehrl entropy frac{N(3+2N)}{(N+1)(N+2)}, in the rigidly linear phase, according to a generalized Wehrl-Lieb conjecture. We also propose a characterization of the vibron-model quantum phase transition by means of the zeros of the Husimi distribution.

Why This Paper Matters

This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
It adds a 2014 reference point for readers tracking recent quantum research.
The Husimi distribution is proposed for a phase space analysis of quantum phase transitions in the two-dimensional U(3) vibron model for N-size molecules.

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:1409.5591 [2] arXiv https://arxiv.org/abs/1409.5591 [3] Publisher https://arxiv.org/abs/1409.5591

Local Citation Graph (Related-Paper Links)

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0

Likes: 0 Dislikes: 0

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.