Interacting bosons in a double-well potential: localization regime

DOI10.1007/s00220-018-3156-2zbMath1397.82060arXiv1612.05758OpenAlexW2963048102WikidataQ129729820 ScholiaQ129729820MaRDI QIDQ1664328

Nicolas Rougerie, Dominique Spehner

Publication date: 24 August 2018

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

Full work available at URL: https://arxiv.org/abs/1612.05758

zbMATH Keywords

minimizerbosonic systeminteraction-driven transitionmany-body Schrödinger HamiltonianSchrödinger-type functionals

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Phase transitions (general) in equilibrium statistical mechanics (82B26) Statistical mechanics of superfluids (82D50) Many-body theory; quantum Hall effect (81V70) PDEs in connection with statistical mechanics (35Q82)

Related Items (13)

Reduced fluctuations for bosons in a double well ⋮ Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas ⋮ On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution ⋮ Bogoliubov excitation spectrum of Bose gases ⋮ Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime ⋮ Bosons in a double well: two-mode approximation and fluctuations ⋮ On some rigorous aspects of fragmented condensation ⋮ A weak KAM approach to the periodic stationary Hartree equation ⋮ Binding energy of homogeneous Bose gases ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Ground state energy of mixture of Bose gases ⋮ The Hartree functional in a double well ⋮ The diatomic Hartree model at dissociation

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