Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Physics Letters

Inherent Nodal Structures of the Wavefunctions of a 4-Boson System

Bao Cheng-guang

Published Jan 1, 1997• 10 citations
Publisher

Abstract

The effect of a kind of nodal surfaces originated from the inherent symmetry on a 4-boson system has been investigated. It was found that these surfaces determine the accessibility of specific geometric structures.
DOI
10.1088/0256-307x/14/1/006

Related papers

Analysis of the low-lying spectrum of the He-tetramer

Bao Cheng-guang, Yan-zhang He, Li Xungui

There is a type of nodal surface imposed by symmetry on wavefunctions. These surfaces are crucial to the ordering of low-lying states. Based on an analysis of this type of surface and based on existing theoretical results, the feature of the low-lying spectrum of the He-tetramer is studied and the candidates of bound states and narrow resonances are suggested.

Chinese Physics•Feb 20, 2002•0 citations

An analysis of the symmetry in 3-boson systems

Xie Wen-Fang, Bao Cheng-guang

The constraints arising from the quantum mechanical symmetry on wavefunctions, and the effect of the constraints on the structures and internal notions of quantum states are studied.

•Sep 20, 1995•2 citations

Interferometric probe for the zeros of the many-body wavefunction

Wayne J. Chetcuti, Anna Minguzzi, Juan Polo +1 more

The nodal surfaces of the many-body wavefunction are fundamental geometric features that encode critical information regarding particle statistics and their interaction. Directly probing these structures, particularly in correlated quantum systems, remains a significant experimental challenge. Here, we provide rigorous results on the structure of the many-body wavefunction and propose to use an interferometric technique to probe its zeros in ultra-cold atomic systems. Specifically, we refer to the so-called heterodyne interferometric reconstruction of the phase of the many-body wavefunction. We prove that the sought nodal surfaces show up as specific discontinuities in the interference fringes. Following Leggett, both `symmetry-dictated' nodal surfaces, due to particle statistics, and `non-symmetry dictated' nodal surfaces emerging from interaction effects, can be probed. We demonstrate how the spin degrees of freedom, effectively modifying the structure of the nodal surfaces of the many-body wavefunction, leave distinct fingerprints in the resulting interference pattern. Our work addresses important features of the structure of the many-body wavefunction that are broadly relevant for quantum science ranging from conceptual aspects to computational questions of extended systems and quantum simulation.

cond-mat.quant-gasCross-listedarXiv:2512.13795•Dec 17, 2025•0 citations

Analysis of the low-lying spectrum of the He-tetramer

Bao Cheng-guang, 贺彦章, 李训贵

There is a type of nodal surface imposed by symmetry on wavefunctions.These surfaces are crucial to the ordering of low-lying states.Based on an analysis of this type of surface and based on existing theoretical results,the feature of the low-lying spectrum of the He-tetramer is studied,and the candidates of bound states and narrow resonances are suggested.

中国物理B：英文版•Jun 13, 2005•0 citations

Analysis of the Structure of Low-Lying States of Four-Boson Systems Based on Symmetry

Bao Cheng-guang, X.-G. Li, Wenfang Xie

Few-Body Systems•Jun 15, 1998•5 citations

Universality in tightly bound 3-boson systems

Yanzhang He, Yizhong Fang, Bao Cheng-guang

The effects of two distinct operations of the elements of the symmetry groups of a Hamiltonian on a quantum state might be equivalent in some specific zones of coordinate space. Making use of the matrix representations of the groups, the equivalence leads to a set of homogeneous linear equations imposing on the wave functions. When the matrix of the equations is non-degenerate, the wave functions will appear as nodal surfaces in these zones. Therefore, the equivalence leads to the existence of inherent nodal structure in the quantum states. In this paper, trapped 3-boson systems with different types of interactions are studied. The structures of the tightly bound eigenstates have been analyzed systematically. The emphasis is placed to demonstrate the universality arising from the common inherent nodal structures.

arXiv:1211.2959•Nov 13, 2012•0 citations
The nodal surfaces of the many-body wavefunction are fundamental geometric features that encode critical information regarding particle statistics and their interaction. Directly probing these structures, particularly in correlated quantum systems, remains a significant experimental challenge. Here, we provide rigorous results on the structure of the many-body wavefunction and propose to use an interferometric technique to probe its zeros in ultra-cold atomic systems. Specifically, we refer to the so-called heterodyne interferometric reconstruction of the phase of the many-body wavefunction. We prove that the sought nodal surfaces show up as specific discontinuities in the interference fringes. Following Leggett, both `symmetry-dictated' nodal surfaces, due to particle statistics, and `non-symmetry dictated' nodal surfaces emerging from interaction effects, can be probed. We demonstrate how the spin degrees of freedom, effectively modifying the structure of the nodal surfaces of the many-body wavefunction, leave distinct fingerprints in the resulting interference pattern. Our work addresses important features of the structure of the many-body wavefunction that are broadly relevant for quantum science ranging from conceptual aspects to computational questions of extended systems and quantum simulation.
The effects of two distinct operations of the elements of the symmetry groups of a Hamiltonian on a quantum state might be equivalent in some specific zones of coordinate space. Making use of the matrix representations of the groups, the equivalence leads to a set of homogeneous linear equations imposing on the wave functions. When the matrix of the equations is non-degenerate, the wave functions will appear as nodal surfaces in these zones. Therefore, the equivalence leads to the existence of inherent nodal structure in the quantum states. In this paper, trapped 3-boson systems with different types of interactions are studied. The structures of the tightly bound eigenstates have been analyzed systematically. The emphasis is placed to demonstrate the universality arising from the common inherent nodal structures.