Semi-classical limit of large fermionic systems at positive temperature

被引：5

作者：

Lewin, Mathieu ^{[1
,2
]}

Madsen, Peter S. ^{[3
]}

Triay, Arnaud ^{[2
]}

机构：

[1] PSL Univ, Paris Dauphine Univ, CNRS, F-75016 Paris, France

[2] PSL Univ, Paris Dauphine Univ, CEPEMADE, F-75016 Paris, France

[3] Aarhus Univ, Dept Math, Ny Munkegade 118, DK-8000 Aarhus C, Denmark

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 09期

基金：

欧洲研究理事会;

关键词：

HARTREE-FOCK THEORY; MEAN-FIELD; ASYMPTOTIC EXACTNESS; STATISTICAL-THEORY; EQUATION; DYNAMICS; DERIVATION; COLLAPSE; ENERGY; STATE;

D O I：

10.1063/1.5094397

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a system of N interacting fermions at positive temperature in a confining potential. In the regime where the intensity of the interaction scales as 1/N and with an effective semiclassical parameter PLANCK CONSTANT OVER TWO PI = N-1/d where d is the space dimension, we prove the convergence to the corresponding Thomas-Fermi model at positive temperature.

引用

页数：31

共 50 条

[31] Comparison of the mean field and Bohmian semi-classical approximations to the Rabi model [J].

Deckert, Dirk-Andre ;

Kellers, Leopold ;

Norsen, Travis ;

Struyve, Ward .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (26)

[32] The Gaussian wave packet transform: Efficient computation of the semi-classical limit of the Schrodinger equation. Part 2. Multidimensional case [J].

Russo, Giovanni ;

Smereka, Peter .

JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 257 :1022-1038

[33] Combined Mean-Field and Semiclassical Limits of Large Fermionic Systems [J].

Chen, Li ;

Lee, Jinyeop ;

Liew, Matthew .

JOURNAL OF STATISTICAL PHYSICS, 2021, 182 (02)

[34] Investigation of the temperature phase diagram of the 2D semi-classical ferrimagnetic J1-J2 model [J].

Wieser, R. .

JOURNAL OF PHYSICS-CONDENSED MATTER, 2022, 34 (39)

[35] The Gaussian wave packet transform: Efficient computation of the semi-classical limit of the Schrodinger equation. Part 1-Formulation and the one dimensional case [J].

Russo, Giovanni ;

Smereka, Peter .

JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 233 :192-209

[36] Quantum simulation of the general semi-classical Rabi model in regimes of arbitrarily strong driving [J].

Dai, Kunzhe ;

Wu, Haiteng ;

Zhao, Peng ;

Li, Mengmeng ;

Liu, Qiang ;

Xue, Guangming ;

Tan, Xinsheng ;

Yu, Haifeng ;

Yu, Yang .

APPLIED PHYSICS LETTERS, 2017, 111 (24)

[37] Non-Markovian trajectories involving future in semi-classical path integral expression [J].

Wang, Fei .

EUROPEAN JOURNAL OF PHYSICS, 2020, 42 (01)

[38] Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit [J].

Alba, Vincenzo ;

Carollo, Federico .

PHYSICAL REVIEW B, 2022, 105 (05)

[39] Quantum and Classical Contributions to Entropy Production in Fermionic and Bosonic Gaussian Systems [J].

Ptaszynski, Krzysztof ;

Esposito, Massimiliano .

PRX QUANTUM, 2023, 4 (02)

[40] A semi-classical approach to the calculation of highly excited rotational energies for asymmetric-top molecules [J].

Schmiedt, Hanno ;

Schlemmer, Stephan ;

Yurchenko, Sergey N. ;

Yachmenev, Andrey ;

Jensen, Per .

PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2017, 19 (03) :1847-1856

← 1 2 3 4 5 →