output
20142026
most citedMatrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

831 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2022 · math-phShow all

7 papers · 2 filters

math-ph2022★ 3 cited

A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated Graphs

Angelo Lucia, Amanda Young

We consider the spectral gap question for AKLT models defined on decorated versions of simple, connected graphs G. This class of decorated graphs, which are defined by replacing al…

math-ph2022★ 7 cited

The Scott conjecture for large Coulomb systems: a review

Rupert L. Frank, Konstantin Merz, Heinz Siedentop

We review some older and more recent results concerning the energy and particle distribution in ground states of heavy Coulomb systems. The reviewed results are asymptotic in natur…

math-ph2022★ 2 cited

Mathematical Elements of Density Functional Theory

Heinz Siedentop

We review some of the basic mathematical results about density functional theory.

math-ph2022★ 11 cited

Dilute Bose gas with three-body interaction: recent results and open questions

Phan Thành Nam, Julien Ricaud, Arnaud Triay

We review our recent study on the ground state energy of dilute Bose gases with three-body interactions. The main feature of our results is the emergence of the 3D energy-critical…

math-ph2022★ 1 cited

On the generators of quantum dynamical semigroups with invariant subalgebras

Markus Hasenöhrl, Matthias C. Caro

The problem of characterizing GKLS-generators and CP-maps with an invariant appeared in different guises in the literature. We prove two unifying results which hold even for weakly…

math-ph2022★ 11 cited

Spectral Analysis of the Quantum Random Energy Model

Chokri Manai, Simone Warzel

The Quantum Random Energy Model (QREM) is a random matrix of Anderson-type which describes effects of a transversal magnetic field on Derrida's spin glass. The model exhibits a gla…

math-ph2022★ 13 cited

Ground state energy of the low density Bose gas with three-body interactions

Phan Thành Nam, Julien Ricaud, Arnaud Triay

We consider the low density Bose gas in the thermodynamic limit with a three-body interaction potential. We prove that the leading order of the ground state energy of the system is…