Scientific article
Open access

Exact ground state of the Lieb-Mattis Hamiltonian as a superposition of Néel states

ContributorsRademaker, Louk
Published inPhysical review research, vol. 1, no. 3, 032018(R)
Publication date2019-11-14
First online date2019-11-14

We show that the exact ground state of the Lieb-Mattis Hamiltonian is an equal-weight superposition of all possible classical Néel states, and provide an exact formulation of this superposition in the z-spin basis for both S=1/2 and general S using Schwinger bosons. In general, a superposition of possible rotations on a general initial state is symmetric if and only if the initial state has a nonzero overlap with a singlet state and is otherwise made up of states that vanish due to the symmetrization. Most notably, |s,m=0⟩ states will vanish if symmetrized, which explains how a superposition of Néel states projects onto its singlet component.

Research group
Citation (ISO format)
RADEMAKER, Louk. Exact ground state of the Lieb-Mattis Hamiltonian as a superposition of Néel states. In: Physical review research, 2019, vol. 1, n° 3, p. 032018(R). doi: 10.1103/PhysRevResearch.1.032018
Main files (1)
Article (Published version)
ISSN of the journal2643-1564

Technical informations

Creation12/12/2022 2:09:00 PM
First validation12/12/2022 2:09:00 PM
Update time03/16/2023 10:15:34 AM
Status update03/16/2023 10:15:33 AM
Last indexation08/31/2023 10:18:06 AM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack