Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Petrat, Sören"'
We consider the many-body quantum Gibbs state for the Bose-Hubbard model on a finite graph at positive temperature. We scale the interaction with the inverse temperature, corresponding to a mean-field limit where the temperature is of the order of th
Externí odkaz:
http://arxiv.org/abs/2405.04055
We consider a system of $N$ bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form $N^{3\beta-1} v (N^\beta x)$ for $\beta \in (0,1)$. We prove the next order correction to Bogoliubov theory
Externí odkaz:
http://arxiv.org/abs/2309.12233
We consider a gas of N weakly interacting bosons in the ground state. Such gases exhibit Bose-Einstein condensation. The binding energy is defined as the energy it takes to remove one particle from the gas. In this article, we prove an asymptotic exp
Externí odkaz:
http://arxiv.org/abs/2307.13115
We consider a gas of N bosons with interactions in the mean-field scaling regime. We review a recent proof of the asymptotic expansion of its spectrum and eigenstates and two applications of this result, namely the derivation of an Edgeworth expansio
Externí odkaz:
http://arxiv.org/abs/2304.12910
Autor:
Petrat, Sören
In this work, we derive the time-dependent Hartree(-Fock) equations as an effective dynamics for fermionic many-particle systems. Our main results are the first for a quantum mechanical mean-field dynamics for fermions; in previous works, the mean-fi
Externí odkaz:
http://edoc.ub.uni-muenchen.de/16986/1/Petrat_Soeren.pdf
http://nbn-resolving.de/urn:nbn:de:bvb:19-169869
http://nbn-resolving.de/urn:nbn:de:bvb:19-169869
Autor:
Boßmann, Lea, Petrat, Sören
We consider the ground state and the low-energy excited states of a system of $N$ identical bosons with interactions in the mean-field scaling regime. For the ground state, we derive an Edgeworth expansion for the fluctuations of bounded one-body ope
Externí odkaz:
http://arxiv.org/abs/2208.00199
We study the time evolution of the Nelson model in a mean-field limit in which N non-relativistic bosons weakly couple (w.r.t. the particle number) to a positive or zero mass quantized scalar field. Our main result is the derivation of the Bogoliubov
Externí odkaz:
http://arxiv.org/abs/2110.00458
Dreadlocks are a natural generalization of the well-known concept of dynamic rays in complex dynamics. In this article we investigate which periodic or preperiodic dreadlocks land together for arbitrary post-singularly finite transcendental entire fu
Externí odkaz:
http://arxiv.org/abs/2109.06863
Publikováno v:
Forum Math. Sigma 9, e28 (2021)
We consider a system of $N$ bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides
Externí odkaz:
http://arxiv.org/abs/2006.09825
Publikováno v:
Pure Appl. Analysis 3 (2021) 677-726
We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm to arbitrary precision. The N-independent corrections are given in te
Externí odkaz:
http://arxiv.org/abs/1912.11004