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We investigate theoretically the energy levels of two identical Fermions in a harmonic potential well under p-wave Feshbach resonance. The magnetic fields needed to affect the energy levels differ strongly among the levels, and they can be…

Other Condensed Matter · Physics 2015-05-13 S. -K. Yip

We consider finite-range effects when the scattering length goes to zero near a magnetically controlled Feshbach resonance. The traditional effective-range expansion is badly behaved at this point and we therefore introduce an effective…

Quantum Gases · Physics 2012-06-26 N. T. Zinner

Feshbach resonances are the essential tool to control the interaction between atoms in ultracold quantum gases. They have found numerous experimental applications, opening up the way to important breakthroughs. This Review broadly covers…

Other Condensed Matter · Physics 2010-05-04 Cheng Chin , Rudolf Grimm , Paul Julienne , Eite Tiesinga

We study the $p$-wave elastic collision rates in a two-dimensional spin-polarized ultracold Fermi gas in the presence of a $p$-wave Feshbach resonance. We derive the analytical relation of the elastic collision rate coefficient in the close…

Quantum Gases · Physics 2024-02-19 Muhammad Awais Altaf , Takashi Mukaiyama , Muhammad Waseem

We analyze molecular bound states of atomic quantum gases near a Feshbach resonance. A simple, renormalizable field theoretic model is shown to have exact solutions in the two-body sector, whose binding energy agrees well with observed…

Statistical Mechanics · Physics 2009-11-10 P. D. Drummond , K. V. Kheruntsyan

We propose a new type of cooling mechanism for ultra-cold fermionic atom ensembles, which capitalizes on the energy dependence of inelastic collisions in the presence of a Feshbach resonance. We first discuss the case of a single magnetic…

Other Condensed Matter · Physics 2013-05-29 L. Mathey , Eite Tiesinga , Paul S. Julienne , Charles W. Clark

Feshbach resonances are an invaluable tool in atomic physics, enabling precise control of interactions and the preparation of complex quantum phases of matter. Here, we theoretically analyze a solid-state analogue of a Feshbach resonance in…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Clemens Kuhlenkamp , Michael Knap , Marcel Wagner , Richard Schmidt , Atac Imamoglu

We have gone through a detailed calculation of the two-point correlation function of vector currents at finite density and magnetic field by employing the real time formalism of finite temperature field theory and Schwinger's proper time…

High Energy Physics - Phenomenology · Physics 2022-08-10 Sarthak Satapathy , Snigdha Ghosh , Sabyasachi Ghosh

We report on the experimental observation of a strongly interacting gas of ultracold two-electron fermions with orbital degree of freedom and magnetically tunable interactions. This realization has been enabled by the demonstration of a…

Quantum Gases · Physics 2015-12-30 G. Pagano , M. Mancini , G. Cappellini , L. Livi , C. Sias , J. Catani , M. Inguscio , L. Fallani

We analyze a system of two-component fermions which interact via a Feshbach resonance in the presence of a three-dimensional lattice potential. By expressing a two-channel model of the resonance in the basis of Bloch states appropriate for…

Quantum Gases · Physics 2013-07-18 M. L. Wall , L. D. Carr

We characterize the high-temperature thermodynamics of rotating bosons and fermions in two- (2D) and three-dimensional (3D) isotropic harmonic trapping potentials. We begin by calculating analytically the conventional virial coefficients…

Quantum Gases · Physics 2020-08-12 C. E. Berger , K. J. Morrell , J. E. Drut

Magnetically-tunable Feshbach resonances are an indispensable tool for experiments with atomic quantum gases. We report on twenty thus far unpublished Feshbach resonances and twenty one further probable Feshbach resonances in spin mixtures…

We develop a simple, mean-field-like theory for the normal phase of a unitary Fermi gas by deriving a self-consistent equation for its self-energy via a momentum-dependent coupling constant for both attractive and repulsive universal…

Quantum Gases · Physics 2013-01-09 Erik M. Weiler , Theja N. De Silva

A finite temperature model of strongly correlated nucleons with underlying isospin symmetries is developed. The model can be used to study the role of bound states and Feshbach resonances on the thermal properties of a spin 1/2, isospin 1/2…

Nuclear Theory · Physics 2009-10-14 A. Z. Mekjian

We show that when the Fermi energy of a Fermi gas is much smaller than the intrinsic energy width of a Fashbach resonance, the system behaves like a Fermi gas interacting with contact potential. This in turn implies universality at…

Other Condensed Matter · Physics 2007-05-23 Roberto B. Diener , Tin-Lun Ho

We show that the high temperature behavior of atomic gases near Feshbach Resonance with non-zero orbital angular momentum $(\ell >0)$ belong to a universality class different from that of s-wave resonances. The universal interaction energy…

Other Condensed Matter · Physics 2007-05-23 Tin-Lun Ho , Neldeltcho Zahariev

In this paper we present an extensive study of the thermodynamic properties of the two-dimensional quantum Heisenberg antiferromagnet on the square lattice; the problem is tackled by the pure-quantum self-consistent harmonic approximation,…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Valerio Tognetti , Ruggero Vaia , Paola Verrucchi

We consider two-component fermions with a zero-range interaction both in two and three dimensions and study their spectral functions of bulk and shear viscosities for an arbitrary scattering length. Here the Kubo formulas are systematically…

Quantum Gases · Physics 2020-06-17 Yusuke Nishida

The virial expansion characterizes the high-temperature approach to the quantum-classical crossover in any quantum many-body system. Here, we calculate the virial coefficients up to the fifth-order of Fermi gases in 1D, 2D, and 3D, with…

Quantum Gases · Physics 2020-09-16 Y. Hou , J. E. Drut

We present a description of the behavior of a superfluid gas of fermions in the presence of a Feshbach resonance over the complete range of magnetic field detunings. Starting from a resonance Hamiltonian, we exploit a functional method to…

Soft Condensed Matter · Physics 2009-02-05 J. N. Milstein , S. J. J. M. F. Kokkelmans , M. J. Holland