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We explore a new variational principle for studying one-dimensional quantum systems in a trapping potential. We focus on the Fermi polaron problem, where a single distinguishable impurity interacts through a contact potential with a…

量子气体 · 物理学 2019-08-09 E. J. Lindgren , R. E. Barfknecht , N. T. Zinner

In a recent experiment [E. Vogt et al., Phys. Rev. Lett. 108, 070404 (2012)], quadrupole and breathing modes of a two-dimensional Fermi gas were studied. We model these collective modes by solving the Boltzmann equation via the method of…

量子气体 · 物理学 2013-11-20 Silvia Chiacchiera , Dany Davesne , Tilman Enss , Michael Urban

A standard approach for model reduction of linear input-output systems is balanced truncation, which is based on the controllability and observability properties of the underlying system. The related dominant subspace projection model…

最优化与控制 · 数学 2019-08-23 Peter Benner , Christian Himpe

Strongly correlated Fermi system plays a fundamental role in very different areas of physics, from neutron stars, quark-gluon plasmas, to high temperature superconductors. Despite the broad applicability, it is notoriously difficult to be…

量子气体 · 物理学 2013-10-15 Xia-Ji Liu

We review the rigorous work on many Fermions models which lead to the first constructions of interacting Fermi liquids in two dimensions, and allowed to prove that there are different scaling regimes in two dimensions, depending on the…

数学物理 · 物理学 2011-02-28 Vincent Rivasseau

The Hubbard model provides a simple framework in which one can study how certain aspects of the electronic structure of strongly interacting systems can be tuned to optimize the superconducting pairing correlations and how these changes…

超导电性 · 物理学 2022-03-02 Thomas A. Maier , Elbio Dagotto

We study the ground state properties of interacting Fermi gases in the dilute regime, in three dimensions. We compute the ground state energy of the system, for positive interaction potentials. We recover a well-known expression for the…

数学物理 · 物理学 2021-08-04 Marco Falconi , Emanuela L. Giacomelli , Christian Hainzl , Marcello Porta

A significant part of the phase diagram of the two-dimensional fermionic Hubbard model for moderate interactions and filling factors ($U < 4, \, n<0.7$) is governed by effective Fermi liquid physics with weak BCS-type instabilities. We…

强关联电子 · 物理学 2015-07-07 Youjin Deng , Evgeny Kozik , Nikolay V. Prokof'ev , Boris V. Svistunov

This paper presents a novel model order reduction technique tailored for power systems with a large share of inverter-based energy resources. Such systems exhibit an increased level of dynamic stiffness compared to traditional power…

系统与控制 · 电气工程与系统科学 2024-07-08 Simon Muntwiler , Ognjen Stanojev , Andrea Zanelli , Gabriela Hug , Melanie N. Zeilinger

The application of the diffusion Monte Carlo method to a strongly interacting Fermi system as normal liquid $^3$He is explored. We show that the fixed-node method together with the released-node technique and a systematic method to…

统计力学 · 物理学 2009-10-31 Joaquim Casulleras , Jordi Boronat

The destruction of Fermi liquid behavior when a gapless Fermi surface is coupled to a fluctuating gapless boson field is studied theoretically. This problem arises in a number of different contexts in quantum many body physics. Examples…

强关联电子 · 物理学 2010-12-14 David F. Mross , John McGreevy , Hong Liu , T. Senthil

The previously developed renormalizable perturbative 1/N-expansion in higher dimensional scalar field theories is extended to gauge theories with fermions. It is based on the $1/N_f$-expansion and results in a logarithmically divergent…

高能物理 - 理论 · 物理学 2007-05-23 D. I. Kazakov , G. S. Vartanov

The dynamics of strongly interacting trapped dilute Fermi gases (dilute in the sense that the range of interatomic potential is small compared with inter-particle spacing) is investigated in a single-equation approach to the time-dependent…

软凝聚态物质 · 物理学 2009-02-05 Yeong E. Kim , Alexander L. Zubarev

Modifications on the predictions about the matter power spectrum based on the hypothesis of a tiny contribution from a degenerate Fermi gas (DFG) test-fluid to some dominant cosmological scenario are investigated. Reporting about the…

宇宙学与河外天体物理 · 物理学 2015-03-19 E. L. D. Perico , Alex E. Bernardini

We discuss a new approach of scalar field theory where the small field contributions are treated perturbatively and the large field configurations (which are responsible for the asymptotic behavior of the perturbative series) are neglected.…

高能物理 - 格点 · 物理学 2009-11-07 L. Li , Y. Meurice

We discuss Fermi-edge singularity effects on the linear and nonlinear transient response of an electron gas in a doped semiconductor. We use a bosonization scheme to describe the low energy excitations, which allows to compute the time and…

介观与纳米尺度物理 · 物理学 2007-10-30 D. Porras , J. Fernandez-Rossier , C. Tejedor

A spectroscopic method is applied to measure the inelastic quasi-particle relaxation rate in a disordered Fermi liquid. The quasi-particle relaxation rate, $\gamma$ is deduced from the magnitude of fluctuations in the local density of…

介观与纳米尺度物理 · 物理学 2009-10-31 T. Schmidt , P. König , E. McCann , Vladimir I. Fal'ko , R. J. Haug

We study quantum mechanical systems with a discrete spectrum. We show that the asymptotic series associated to certain paths of steepest-descent (Lefschetz thimbles) are Borel resummable to the full result. Using a geometrical approach…

高能物理 - 理论 · 物理学 2018-02-01 Marco Serone , Gabriele Spada , Giovanni Villadoro

We study the growth of structures in modified gravity models where the Poisson equation and the relationship between the two Newtonian potentials are modified by explicit functions of space and time. This parameterisation applies to the…

宇宙学与河外天体物理 · 物理学 2012-10-24 Philippe Brax , Patrick Valageas

We investigate separations of trapped balanced two-component atomic Fermi gases with repulsive contact interaction. Candidates for ground-state densities are obtained from the imaginary-time evolution of a nonlinear pseudo-Schr\"odinger…

量子气体 · 物理学 2016-02-17 M. I. Trappe , P. Grochowski , M. Brewczyk , K. Rzążewski