762 citations · 3.2k across the 31 of their papers we have counts for
10 papers · 1 filter
Universality in s-wave and higher partial wave Feshbach resonances: an illustration with a single atom near two scattering centers
Shangguo Zhu, Shina Tan
It is well-known that cold atoms near s-wave Feshbach resonances have universal properties that are insensitive to the short-range details of the interaction. What is less known is…
Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror
Shina Tan
Some novel TWO-body effects analogous to the well-known THREE-body Efimov effect are predicted. In the systems considered, particle A is constrained on a TRUNCATED or BENT one-dime…
Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
Shina Tan
For a two-component Fermi gas in the unitarity limit (ie, with infinite scattering length), there is a well-known virial theorem, first shown by J. E. Thomas et al, Phys. Rev. Lett…
Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates
Shina Tan
It is shown that the effective interaction strength of three bosons at small collision energies can be extracted from their wave function at zero energy. An asymptotic expansion of…
A new perturbation theory for the superfluid Fermi gas in the molecular Bose-Einstein condensed state
Shina Tan
We demonstrate how solutions to quantum few-fermion scattering problems can be the point-of-departure of a new treatment of a generalized many-body wave function. Our focus is on a…
Large momentum part of fermions with large scattering length
Shina Tan
It is well known that the momentum distribution of the two-component Fermi gas with large scattering length has a tail proportional to at large . We show that the magnit…
A new many-body wave function for BCS-BEC crossover in Fermi gases
Shina Tan, K. Levin
We present a new many body formalism for BCS-BEC crossover, which represents a modification of the BCS-Leggett ground state to include 4-fermion, and higher correlations. In the BE…
S-wave contact interaction problem: A simple description
Shina Tan
The s-wave contact interaction problem has a very simple structure and a simple and straightforward description. This is not a standard paper, and technicalities are avoided. A bar…
Energetics of a strongly correlated Fermi gas
Shina Tan
The energy of the two-component Fermi gas with the s-wave contact interaction is a simple linear functional of its momentum distribution: $$E_\text{internal}=\hbar^2ΩC/4πam+\sum_{\…
Short Range Scaling Laws of Quantum Gases With Contact Interactions
Shina Tan
The probability amplitude for particles in a quantum gas with negligible range of interparticle interaction potentials to come to a small region of size scales like .…