期刊
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
卷 69, 期 12, 页码 2250-2303出版社
WILEY
DOI: 10.1002/cpa.21598
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资金
- European Research Council [MAQD-240518, CoMBoS-239694]
- NCCR
- Natural Sciences and Engineering Research Council of Canada
- Villum Fonden [00010059] Funding Source: researchfish
In this paper we study the dynamics of fermionic mixed states in the mean-field regime. We consider initial states that are close to quasi-free states and prove that, under suitable assumptions on the initial data and on the many-body interaction, the quantum evolution of such initial data is well approximated by a suitable quasi-free state. In particular, we prove that the evolution of the reduced one-particle density matrix converges, as the number of particles goes to infinity, to the solution of the time-dependent Hartree-Fock equation. Our result holds for all times and gives effective estimates on the rate of convergence of the many-body dynamics towards the Hartree-Fock evolution.(c) 2015 Wiley Periodicals, Inc.
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