Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations

DOI10.1063/1.4946044zbMath1337.81140arXiv1411.7330OpenAlexW2337776010MaRDI QIDQ2804980

Jens Bolte, Joachim Kerner

Publication date: 9 May 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7330

zbMATH Keywords

Lieb-Liniger model

Mathematics Subject Classification ID

Continuum limits in quantum field theory (81T27) Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of gases (82D05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Bose-Einstein condensation in the Luttinger-Sy model with contact interaction ⋮ Bose–Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in ⋮ Many-Particle Quantum Graphs: A Review ⋮ An Asymptotic Expansion of the Trace of the Heat Kernel of a Singular Two-particle Contact Interaction in One-dimension ⋮ Solvable models of interacting 𝑛-particle systems on quantum graphs ⋮ On the effect of repulsive pair interactions on Bose–Einstein condensation in the Luttinger–Sy model

Cites Work

• Unnamed Item
• Unnamed Item
• The mathematics of the Bose gas and its condensation.
• Many-body boson systems. Half a century later
• The trace formula for quantum graphs with general self adjoint boundary conditions
• Note on two theorems in nonequilibrium statistical mechanics
• Bose-Einstein Condensation and Liquid Helium
• Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension
• Kirchhoff's rule for quantum wires
• Proof of Bose–Einstein condensation for interacting gases with a one-particle spectral gap
• A model with coexistence of two kinds of Bose condensation
• Nonextensive Bose–Einstein condensation model
• Quantum graphs with singular two-particle interactions
• Quantum graphs with two-particle contact interactions
• Many-particle quantum graphs and Bose-Einstein condensation
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
• Quantum graphs: I. Some basic structures
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• The Bogoliubov model of weakly imperfect Bose gas