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In this chapter we focus first on the theoretical methods and relevant computational approaches to calculate the electronic structure of atoms, molecules, and clusters containing heavy elements for which relativistic effects become…

Chemical Physics · Physics 2021-10-05 Simone Taioli , Stefano Simonucci

Response functions are a fundamental aspect of physics; they represent the link between experimental observations and the underlying quantum many-body state. However, this link is often under-appreciated, as the Lehmann formalism for…

Quantum Physics · Physics 2023-02-22 Efekan Kökcü , Heba A. Labib , J. K. Freericks , Alexander F. Kemper

A semiclassical theory of linear response in finite Fermi systems, based on the Vlasov equation, and its applications to the study of isoscalar vibrations in heavy nuclei are reviewed. It is argued that the Vlasov equation can be used to…

Nuclear Theory · Physics 2007-05-23 V. I. Abrosimov , A. Dellafiore , F. Matera

We consider a recent momentum-resolved radio-frequency spectroscopy experiment, in which Fermi liquid properties of a strongly interacting atomic Fermi gas were studied. Here we show that by extending the Brueckner-Goldstone model, we can…

Quantum Gases · Physics 2015-05-07 Elmer V. H. Doggen , Jami J. Kinnunen

We are concerned with few-particle correlations in a fermionic system at finite temperature and density. Within the many-body Green functions formalism the description of correlations is provided by the Dyson equation approach that leads to…

Nuclear Theory · Physics 2007-05-23 S. A. Sofianos , M. Beyer

We develop a pairing mean-field theory to describe the quantum dynamics of the dissociation of molecular Bose-Einstein condensates into their constituent bosonic or fermionic atoms. We apply the theory to one, two, and three-dimensional…

Other Condensed Matter · Physics 2010-11-09 M. J. Davis , S. J. Thwaite , M. K. Olsen , K. V. Kheruntsyan

We provide a comprehensive theoretical investigation of the Fermi liquid quasiparticle description in two-dimensional electron gas interacting via the long-range Coulomb interaction by calculating the electron self-energy within the…

Mesoscale and Nanoscale Physics · Physics 2021-09-16 Seongjin Ahn , Sankar Das Sarma

The signature of superfluidity in bosonic systems is a sound wave-like spectrum of the single particle excitations which in the case of strong interactions is roughly temperature independent. In fermionic systems, where fermion pairing…

Superconductivity · Physics 2009-11-10 T. Domanski , J. Ranninger

We analyse a Bose-Einstein condensate (BEC) mixed with a superfluid two-component Fermi gas in the whole BCS-BEC cross-over. Using a quasiparticle random phase approximation combined with Beliaev theory to describe the Fermi superfluid and…

Quantum Gases · Physics 2015-05-07 J. J. Kinnunen , G. M. Bruun

We systematically investigate the intricate interplay between short-range fermion-fermion interactions and disorder scatterings beneath the superconducting dome of noncentrosymmetric nodal-line superconductors. Employing the renormalization…

Superconductivity · Physics 2024-07-17 Wen-Hao Bian , Jing Wang

We present a strategy for mapping the dynamics of a fermionic quantum system to a set of classical dynamical variables. The approach is based on imposing the correspondence relation between the commutator and the Poisson bracket, preserving…

Quantum Physics · Physics 2020-09-29 Amikam Levy , Wenjie Dou , Eran Rabani , David T. Limmer

We describe an electrodynamic mechanism for coherent, quantum mechanical coupling between spacially separated quantum dots on a microchip. The technique is based on capacitive interactions between the electron charge and a superconducting…

Quantum Physics · Physics 2009-11-10 L. I. Childress , A. S. Sorensen , M. D. Lukin

We present a microscopic quantum theory for nonlinear optical phenomena in semiconductor quantum well heterostructures operating in the regime of ultra-strong light matter coupling regime. This work extends the Power-Zienau-Wooley (PZW)…

Optics · Physics 2025-06-11 Thomas Krieguer , Yanko Todorov

We introduce a hybrid method for dielectric-metal composites that describes the dynamics of the metallic system classically whilst retaining a quantum description of the dielectric. The time-dependent dipole moment of the classical system…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Ryan J. McMillan , Lorenzo Stella , Myrta Grüning

In this work we give a comprehensive derivation of an exact and numerically feasible method to perform ab-initio calculations of quantum particles interacting with a quantized electromagnetic field. We present a hierachy of…

We describe low-lying collective excitations of atomic nuclei with the multi-reference covariant density functional theory, and combine them with coupled-channels calculations for heavy-ion fusion reactions at energies around the Coulomb…

Nuclear Theory · Physics 2015-04-16 K. Hagino , J. M. Yao

Recent achievements in experiments with cold fermionic atoms indicate the potential for developing novel superconducting devices which may be operated in a wide range of regimes, at a level of precision previously not available. Unlike…

Strongly Correlated Electrons · Physics 2007-12-24 Razvan Teodorescu

Effective field theory (EFT) methods for a uniform system of fermions with short-range, natural interactions are extended to include pairing correlations, as part of a program to develop a systematic Kohn-Sham density functional theory…

Nuclear Theory · Physics 2008-11-26 R. J. Furnstahl , H. -W. Hammer , S. J. Puglia

We give a self-consistent theory of the scale dependent effective mass enhancement m*/m of quasiparticles by 3D antiferromagnetic (AFM) spin fluctuations in the presence of disorder at an AFM quantum critical point. The coupling of…

Strongly Correlated Electrons · Physics 2013-05-29 Peter Wölfle , Elihu Abrahams

We develop the contact theory for spin-orbit-coupled Fermi gases. By using a perturbation method, we derive analytically the universal two-body behavior at short distance, which does not depend on the short-range details of interatomic…

Quantum Gases · Physics 2018-02-14 Shi-Guo Peng , Cai-Xia Zhang , Shina Tan , Kaijun Jiang