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The influence of long-range spin and charge fluctuations on spectra of the two-dimensional fermionic Hubbard model is considered using the strong coupling diagram technique. Infinite sequences of diagrams containing ladder inserts, which…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

We report the observation of a dimensional crossover of a narrow $p$-wave Feshbach resonance in an ultracold, spin-polarized $^6$Li Fermi gas confined by a one-dimensional optical lattice. In the three-dimensional limit, atom loss near the…

Quantum Gases · Physics 2026-03-03 Hang Yu , Liao Sun , Shaokun Liu , Shuai Peng , Jiaming Li , Le Luo

We discuss the theoretical treatment of the microwave lensing frequency shift of the NIST-F1 and F2 atomic fountain clocks by Ashby et al. [Phy. Rev. A. 91, 033624 (2015)]. The shifts calculated by NIST are much smaller than the previously…

Atomic Physics · Physics 2015-05-05 Kurt Gibble

Measurements of spin dynamics of electrons in a degenerate two dimensional electron gas, where the Dyakonov-Perel mechanism is dominant, have been used to investigate the electron scattering time (tp*) as a function of energy near the Fermi…

Other Condensed Matter · Physics 2008-03-11 W. J. H. Leylanda , R. T. Harley , M. Henini , A. J. Shields , I. Farrer , D. A. Ritchie

Basic for the definition of 'time' are clocks operating under stationary conditions. The periods of two clocks can be compared with each other via two return experiments. The central clock mediates between the rotating and the inertial…

General Physics · Physics 2013-06-25 Richard Lenk

A partially alternative derivation of the expression for the time dilation effect in a uniform static gravitational field is obtained by means of a thought experiment in which rates of clocks at rest at different heights are compared using…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marco Alberici

This paper introduces a couple of new time-frequency transforms, designed to adapt their scale to specific features of the analyzed function. Such an adaptation is implemented via so-called focus functions, which control the window scale as…

Classical Analysis and ODEs · Mathematics 2024-06-19 Pierre Warion , Bruno Torrésani

We consider a two-component Fermi gas interacting via a Feshbach molecular state. It is shown that an important energy scale is $E_g=g^4m^3/(64\pi^2)$ where $g$ is the Feshbach coupling constant and $m$ the mass of the particles. Only when…

Statistical Mechanics · Physics 2016-08-31 G. M. Bruun

We investigate the energy spectrum of systems of two, three and four spin-1/2 fermions with short range attractive interactions both exactly, and within the scattering length approximation. The formation of molecular bound states and the…

Quantum Gases · Physics 2011-09-09 S. Q. Zhou , D. M. Ceperley , Shiwei Zhang

We report on the direct observation of resonant electric dipole-dipole interactions in a cubic array of atoms in the many-excitation limit. The interactions, mediated by single-atom couplings to the shared electromagnetic vacuum, are shown…

Atomic Physics · Physics 2023-03-13 Ross B. Hutson , William R. Milner , Lingfeng Yan , Jun Ye , Christian Sanner

Itinerant ferromagnetism is one of the most studied quantum phase transitions, the transition point and the nature of this phase transition being widely discussed. In dilute Fermi liquids, this analysis has been carried out up to…

Quantum Gases · Physics 2024-07-22 Jordi Pera , Joaquim Casulleras , Jordi Boronat

Fermi gases with magnetically tunable interactions provide a clean and controllable laboratory system for modeling interparticle interactions between fermions in nature. The s-wave scattering length, which is dominant a low temperature, is…

Quantum Gases · Physics 2010-04-05 J. E. Thomas

We discuss the spin fluctuations and the role played by the magnetic susceptibility in an atomic Fermi gas interacting with positive scattering length. Both thermal and quantum fluctuations are considered. Using a sum rule approach and…

Quantum Gases · Physics 2015-05-19 Alessio Recati , Sandro Stringari

We explore the potential of the electric quadrupole transitions $7s\,^2S_{1/2}$ - $6d\,^2D_{3/2}$, $6d\,^2D_{5/2}$ in radium isotopes as single-ion optical frequency standards. The frequency shifts of the clock transitions due to external…

We leverage random phase approximation and unbiased auxiliary-field quantum Monte Carlo methods to compute dynamical correlations for a dilute homogeneous two-dimensional attractive Fermi gas. Our main purpose is to quantitatively study the…

We have performed calculations of the size of the frequency shift induced by a static electric field on the clock transition frequencies of the hyperfine splitting in Yb+, Rb, Cs, Ba+, and Hg+. The calculations are used to find the…

Atomic Physics · Physics 2009-11-11 E. J. Angstmann , V. A. Dzuba , V. V. Flambaum

The phase of matter waves depends on proper time and is therefore susceptible to special-relativistic (kinematic) and gravitational (redshift) time dilation. Hence, it is conceivable that atom interferometers measure general-relativistic…

We theoretically study a charge qubit interacting with electrons in a semi-infinite 1D wire. The system displays the physics of the Fermi edge singularity. Our results generalize known results for the Fermi-edge system to the regime where…

Strongly Correlated Electrons · Physics 2013-02-25 A. Sheikhan , I. Snyman

We propose to detect quadrupole interactions of neutral ultra-cold atoms via their induced mean-field shift. We consider a Mott insulator state of spin-polarized atoms in a two-dimensional optical square lattice. The quadrupole moments of…

Quantum Gases · Physics 2017-10-26 M. Lahrz , Mikhail Lemeshko , Klaus Sengstock , Christoph Becker , L. Mathey

A theory for the coupling constants between spin polarized degenerate fermionic atoms is developed for the case of atoms confined to a quasi one-dimensional harmonic trap. Exploiting the presence of the Fermi edge and the large number of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Gleisberg , W. Wonneberger