Hannover 2016 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 22: Quantum Gases: Bosons II

Q 22.2: Talk

Tuesday, March 1, 2016, 14:45–15:00, e001

Interplay between statistics and interactions in 1D few-boson systems — •Quirin Hummel, Benjamin Geiger, Juan Diego Urbina, and Klaus Richter — Institut für Theoretische Physik, Universität Regensburg, Germany

The theoretical study of quantum few-body systems poses a fundamental challenge since the absence of a large number of particles makes the usually simplifying description within the grand canonical formalism invalid. We analytically address the fundamental interplay between indistinguishability and interactions in systems where the total number of particles is strictly fixed, quantum statistics is treated exactly and interparticle forces are described non-perturbatively, by introducing a set of techniques based on neglecting the discreteness of spectra at the level of a cluster expansion of the canonical partition function. Our approach is specially suitable for the few-body case as it generates thermodynamic and spectral properties in terms of a finite set of permutation and interaction events thus overcoming the inappropriate use of virial expansions. For 1D systems with short range interactions we found analytical expressions applicable to both integrable and realistic non-integrable models with harmonic confinement.