Bosonization of fermionic many-body dynamics
Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré.
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Benedikter, Niels PISTA 
;
Nam, Phan Thành;
Porta, Marcello;
Schlein, Benjamin;
Seiringer, RobertISTA
;
Nam, Phan Thành;
Porta, Marcello;
Schlein, Benjamin;
Seiringer, RobertISTA Department
Abstract
We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle–hole pair excitations on the Fermi ball. Using a rigorous version of approximate bosonization, we prove that the many-body evolution can be approximated in Fock space norm by a quasi-free bosonic evolution of the collective particle–hole excitations.
Publishing Year
Date Published
2021-12-02
Journal Title
Annales Henri Poincaré
Acknowledgement
NB was supported by Gruppo Nazionale per la Fisica Matematica (GNFM). RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 694227). PTN was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (ERC StG MaMBoQ, Grant Agreement No. 802901). BS was supported by the NCCR SwissMAP, the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates,” and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program through the ERC-AdG CLaQS (Grant Agreement No. 834782).
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Cite this
Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. 2021. doi:10.1007/s00023-021-01136-y
Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2021). Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. Springer Nature. https://doi.org/10.1007/s00023-021-01136-y
Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01136-y.
N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Bosonization of fermionic many-body dynamics,” Annales Henri Poincaré. Springer Nature, 2021.
Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré.
Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré, Springer Nature, 2021, doi:10.1007/s00023-021-01136-y.
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