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

831 citations

Showing 2021 · math-phShow all

6 papers · 2 filters

math-ph2021★ 4 cited

Transcendental properties of entropy-constrained sets

Vjosa Blakaj, Michael M. Wolf

For information-theoretic quantities with an asymptotic operational characterization, the question arises whether an alternative single-shot characterization exists, possibly inclu…

math-ph2021★ 10 cited

The spectral gap of a fractional quantum Hall system on a thin torus

Simone Warzel, Amanda Young

We study a fractional quantum Hall system with maximal filling in the thin torus limit. The corresponding Hamiltonian is a truncated version of Haldane's pseudopotential…

math-ph2021★ 4 cited

Cluster expansions: Necessary and sufficient convergence conditions

Sabine Jansen, Leonid Kolesnikov

We prove a new convergence condition for the activity expansion of correlation functions in equilibrium statistical mechanics with possibly negative pair potentials. For non-negati…

math-ph2021★ 16 cited

The condensation of a trapped dilute Bose gas with three-body interactions

Phan Thành Nam, Julien Ricaud, Arnaud Triay

We consider a trapped dilute gas of bosons in interacting via a three-body interaction potential of the form . In the limit $N\to \infty…

math-ph2021★ 9 cited

The de Almeida-Thouless Line in Hierarchical Quantum Spin Glasses

Chokri Manai, Simone Warzel

We determine explicitly and discuss in detail the effects of the joint presence of a longitudinal and a transversal (random) magnetic field on the phases of the Random Energy Model…

math-ph2021★ 1 cited

On the spectrum of the Kronig-Penney model in a constant electric field

Rupert L. Frank, Simon Larson

We are interested in the nature of the spectrum of the one-dimensional Schrödinger operator $$ - \frac{d^2}{dx^2}-Fx + \sum_{n \in \mathbb{Z}}g_n δ(x-n) \qquad\text{in } L^2(\mathb…