TY - JOUR
AB - We consider the low-density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs.
AU - Hainzl, Christian
AU - Robert Seiringer
ID - 2397
IS - 2
JF - Letters in Mathematical Physics
TI - Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs
VL - 100
ER -
TY - GEN
AB - We extend the mathematical theory of quantum hypothesis testing to the general W*-algebraic setting and explore its relation with recent developments in non-equilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy flow to quantum hypothesis testing of the arrow of time.
AU - Jakšić, Vojkan
AU - Ogata, Yoshiko
AU - Pillet, Claude A
AU - Robert Seiringer
ID - 2398
IS - 6
T2 - Reviews in Mathematical Physics
TI - Quantum hypothesis testing and non-equilibrium statistical mechanics
VL - 24
ER -
TY - JOUR
AB - If the polaron coupling constant α is large enough, bipolarons or multi-polarons will form. When passing through the critical α c from above, does the radius of the system simply get arbitrarily large or does it reach a maximum and then explode? We prove that it is always the latter. We also prove the analogous statement for the Pekar-Tomasevich (PT) approximation to the energy, in which case there is a solution to the PT equation at α c. Similarly, we show that the same phenomenon occurs for atoms, e. g., helium, at the critical value of the nuclear charge. Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger equation, and are very general. They use the fact that the Coulomb repulsion decays like 1/r, while 'uncertainty principle' localization energies decay more rapidly, as 1/r 2.
AU - Frank, Rupert L
AU - Lieb, Élliott H
AU - Robert Seiringer
ID - 2400
IS - 2
JF - Communications in Mathematical Physics
TI - Binding of polarons and atoms at threshold
VL - 313
ER -
TY - JOUR
AB - We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace transform of a positive measure supported on [0,∞].
AU - Lieb, Élliott H
AU - Robert Seiringer
ID - 2401
IS - 1
JF - Journal of Statistical Physics
TI - Further implications of the Bessis-Moussa-Villani conjecture
VL - 149
ER -
TY - JOUR
AB - We consider a model of quantum-mechanical particles interacting via point interactions of infinite scattering length. In the case of fermions we prove a Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded from below by a constant times the integral of the particle density to the power.
AU - Frank, Rupert L
AU - Robert Seiringer
ID - 2402
IS - 9
JF - Journal of Mathematical Physics
TI - Lieb-Thirring inequality for a model of particles with point interactions
VL - 53
ER -