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Bounds for the adiabatic approximation with applications to quantum computation

TLDR

On the notion(s) of duality for Markov processes

We provide a systematic study of the notion of duality of Markov processes with respect to a function. We discuss the relation of this notion with duality with respect to a measure as studied in… Expand

Virial inversion and density functionals

- S. Jansen, T. Kuna, D. Tsagkarogiannis
- Mathematics
- 5 June 2019

We prove a novel inversion theorem for functionals given as power series in infinite-dimensional spaces and apply it to the inversion of the density-activity relation for inhomogeneous systems. This… Expand

Fermionic and bosonic Laughlin state on thick cylinders

- S. Jansen
- Physics
- 19 September 2011

We investigate a many-body wave function for particles on a cylinder known as Laughlin's function. It is the power of a Vandermonde determinant times a Gaussian. Our main result is: in a… Expand

Symmetry Breaking in Laughlin’s State on a Cylinder

We investigate Laughlin’s fractional quantum Hall effect wave function on a cylinder. We show that it displays translational symmetry breaking in the axial direction for sufficiently thin cylinders.… Expand

Surface Energy and Boundary Layers for a Chain of Atoms at Low Temperature

- S. Jansen, W. König, B. Schmidt, F. Theil
- Computer ScienceArchive for Rational Mechanics and Analysis
- 12 April 2019

TLDR

Graphical representation of certain moment dualities and application to population models with balancing selection

We investigate dual mechanisms for interacting particle systems. Generalizing an approach of Alkemper and Hutzenthaler in the case of coalescing duals, we show that a simple linear transformation… Expand

Revisiting Groeneveld’s approach to the virial expansion

- S. Jansen
- Mathematics
- 19 September 2020

A generalized version of Groeneveld's convergence criterion for the virial expansion and generating functionals for weighted $2$-connected graphs is proven. The criterion works for inhomogeneous… Expand

A note on the uniqueness result for the inverse Henderson problem

- F. Frommer, M. Hanke, S. Jansen
- MathematicsJournal of Mathematical Physics
- 8 March 2019

The inverse Henderson problem of statistical mechanics concerns classical particles in continuous space which interact according to a pair potential depending on the distance of the particles.… Expand

Continuum percolation for Gibbsian point processes with attractive interactions

- S. Jansen
- Mathematics
- 6 August 2012

We study the problem of continuum percolation in infinite volume Gibbs measures for particles with an attractive pair potential, with a focus on low temperatures (large β). The main results are… Expand

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