Evidence map›Paper›PMID 40271518›Full record

ArticleJournal of statistical physics2025

Density-Functional Theory for the Dicke Hamiltonian.

Vebjørn H Bakkestuen, Mihály A Csirik, Andre Laestadius, Markus Penz

Abstract read
In one paragraph

Article in Journal of statistical physics, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

2 citing papers in PubMed.

  1. Article
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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Vebjørn H BakkestuenDepartment of Computer Science, Oslo Metropolitan University, Oslo, Norway.ORCID 0009-0009-2809-6482
Mihály A CsirikDepartment of Computer Science, Oslo Metropolitan University, Oslo, Norway.ORCID 0000-0002-2363-9371
Andre LaestadiusDepartment of Computer Science, Oslo Metropolitan University, Oslo, Norway.ORCID 0000-0001-7391-0396
Markus PenzDepartment of Computer Science, Oslo Metropolitan University, Oslo, Norway.ORCID 0000-0001-8363-1980

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

A detailed analysis of density-functional theory for quantum-electrodynamical model systems is provided. In particular, the quantum Rabi model, the Dicke model, and a generalization of the latter to multiple modes are considered. We prove a Hohenberg-Kohn theorem that manifests the magnetization and displacement as internal variables, along with several representability results. The constrained-search functionals for pure states and ensembles are introduced and analyzed. We find the optimizers for the pure-state constrained-search functional to be low-lying eigenstates of the Hamiltonian and, based on the properties of the optimizers, we formulate an adiabatic-connection formula. In the reduced case of the Rabi model we can even show differentiability of the universal density functional, which amounts to unique pure-state

Indexed as

Density-functional theoryDicke modelHohenberg–Kohn theoremMathematical physicsNon-relativistic quantum electrodynamicsRabi modelRepresentability

Identifiers

PMID40271518
PMCPMC12011976

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.