TY - JOUR
AB - We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result.
AU - Frank, Rupert
AU - Killip, Rowan
AU - Nam, Phan
ID - 1267
IS - 8
JF - Letters in Mathematical Physics
TI - Nonexistence of large nuclei in the liquid drop model
VL - 106
ER -
TY - JOUR
AB - Given a convex function (Formula presented.) and two hermitian matrices A and B, Lewin and Sabin study in (Lett Math Phys 104:691–705, 2014) the relative entropy defined by (Formula presented.). Among other things, they prove that the so-defined quantity is monotone if and only if (Formula presented.) is operator monotone. The monotonicity is then used to properly define (Formula presented.) for bounded self-adjoint operators acting on an infinite-dimensional Hilbert space by a limiting procedure. More precisely, for an increasing sequence of finite-dimensional projections (Formula presented.) with (Formula presented.) strongly, the limit (Formula presented.) is shown to exist and to be independent of the sequence of projections (Formula presented.). The question whether this sequence converges to its "obvious" limit, namely (Formula presented.), has been left open. We answer this question in principle affirmatively and show that (Formula presented.). If the operators A and B are regular enough, that is (A − B), (Formula presented.) and (Formula presented.) are trace-class, the identity (Formula presented.) holds.
AU - Deuchert, Andreas
AU - Hainzl, Christian
AU - Seiringer, Robert
ID - 1704
IS - 10
JF - Letters in Mathematical Physics
TI - Note on a family of monotone quantum relative entropies
VL - 105
ER -
TY - JOUR
AB - We study a double Cahn-Hilliard type functional related to the Gross-Pitaevskii energy of two-components Bose-Einstein condensates. In the case of large but same order intercomponent and intracomponent coupling strengths, we prove Γ-convergence to a perimeter minimisation functional with an inhomogeneous surface tension. We study the asymptotic behavior of the surface tension as the ratio between the intercomponent and intracomponent coupling strengths becomes very small or very large and obtain good agreement with the physical literature. We obtain as a consequence, symmetry breaking of the minimisers for the harmonic potential.
AU - Goldman, Michael
AU - Royo-Letelier, Jimena
ID - 1807
IS - 3
JF - ESAIM - Control, Optimisation and Calculus of Variations
TI - Sharp interface limit for two components Bose-Einstein condensates
VL - 21
ER -
TY - JOUR
AB - We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity in the ground state of a one-dimensional model of interacting bosons in a strong random potential. We prove rigorously that in a certain parameter regime the superfluid fraction can be arbitrarily small while complete BEC prevails. In another regime there is both complete BEC and complete superfluidity, despite the strong disorder
AU - Könenberg, Martin
AU - Moser, Thomas
AU - Seiringer, Robert
AU - Yngvason, Jakob
ID - 1880
JF - New Journal of Physics
TI - Superfluid behavior of a Bose-Einstein condensate in a random potential
VL - 17
ER -
TY - JOUR
AU - Dereziński, Jan
AU - Napiórkowski, Marcin M
ID - 1939
IS - 7
JF - Annales Henri Poincare
TI - Erratum to: Excitation spectrum of interacting bosons in the Mean-Field Infinite-Volume limit
VL - 16
ER -