Professor Fabian Essler: Publications

Exact spectral gaps of the asymmetric exclusion process with open boundaries

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2006) ARTN P12011

Authors:

Jan de Gier, Fabian HL Essler

Quantum phase transition in the one-dimensional extended Peierls-Hubbard model

PHYSICAL REVIEW B 73:8 (2006) ARTN 085105

Authors:

H Benthien, FHL Essler, A Grage

Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 39:18 (2006) 4845-4857

Authors:

S Ejima, FHL Essler, F Gebhard

Bethe ansatz solution of the asymmetric exclusion process with open boundaries.

Phys Rev Lett 95:24 (2005) 240601

Authors:

Jan de Gier, Fabian HL Essler

Abstract:

We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. For totally asymmetric diffusion we calculate the spectral gap, which characterizes the approach to stationarity at large times. We observe boundary induced crossovers in and between massive, diffusive, and Kardar-Parisi-Zhang scaling regimes.

Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries

Physical Review Letters 95 (2005) 240601 4pp

Authors:

FH Essler, Jan de Gier

91̽��