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

831 citations

Showing 2019 · math-phShow all

9 papers · 2 filters

math-ph2019★ 6 cited

The Quantum Random Energy Model as a Limit of p-Spin Interactions

Chokri Manai, Simone Warzel

We consider the free energy of a mean-field quantum spin glass described by a -spin interaction and a transversal magnetic field. Recent rigorous results for the case $ p= \in…

math-ph2019★ 5 cited

On the excess charge of a relativistic statistical model of molecules with an inhomogeneity correction

Hongshuo Chen, Heinz Siedentop

We show that the molecular relativistic Thomas-Fermi-Weizsäcker functional consisting of atoms of atomic numbers has a minimizer, if the particle number is constr…

math-ph2019★ 5 cited

Blow-Up Profile of 2D Focusing Mixture Bose Gases

Dinh-Thi Nguyen

We study the collapse of a many-body system which is used to model two-component Bose-Einstein condensates with attractive intra-species interactions and either attractive or repul…

math-ph2019★ 15 cited

Phase Diagram of the Quantum Random Energy Model

Chokri Manai, Simone Warzel

We prove Goldschmidt's formula [Phys. Rev. B 47 (1990) 4858] for the free energy of the quantum random energy model. In particular, we verify the location of the first order and th…

math-ph2019★ 4 cited

Thermodynamics of a hierarchical mixture of cubes

Sabine Jansen

We investigate a toy model for phase transitions in mixtures of incompressible droplets. The model consists of non-overlapping hypercubes in of sidelengths , $j\…

math-ph2019★ 6 cited

Cluster expansions with renormalized activities and applications to colloids

Sabine Jansen, Dimitrios Tsagkarogiannis

We consider a binary system of small and large objects in the continuous space interacting via a non-negative potential. By integrating over the small objects, the effective intera…

math-ph2019

Blow-up profile of neutron stars in the Hartree-Fock-Bogoliubov theory

Dinh-Thi Nguyen

We consider the gravitational collapse for neutron stars in the Hartree-Fock-Bogoliubov theory. We prove that when the number particle becomes large and the gravitational constant…

math-ph2019★ 1 cited

A stable quantum Darmois-Skitovich theorem

Javier Cuesta

The Darmois-Skitovich theorem is a simple characterization of the normal distribution in terms of the independence of linear forms. We present here a non-commutative version of thi…

math-ph2019★ 12 cited

Quantum Zeno effect generalized

Tim Möbus, Michael M. Wolf

The quantum Zeno effect, in its original form, uses frequent projective measurements to freeze the evolution of a quantum system that is initially governed by a fixed Hamiltonian.…