Obtaining the phase diagram and thermodynamic quantities of bulk systems from the densities of trapped gases

By T. Ho, Qi Zhou. 2008

143 citations recorded by the source corpus.

A long-standing goal of experiments using cold atoms in optical lattices is to simulate the behaviour of strongly correlated electrons in solid-state systems. However, in these experiments, the atoms are confined to spatially inhomogeneous traps, whereas the desired information concerns homogeneous bulk systems. Theoretical work now proposes a way to connect the two types of system.

Subfields: Atomic and Molecular Physics, and Optics, Spectroscopy

View Paper: https://www.semanticscholar.org/paper/7b5c0bf64ed62fd9c2bad7c96d3399e53a91fe7e

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In Atomic and Molecular Physics, and Optics

In Spectroscopy

Citations in the corpus

Spinor Bose gases: Symmetries, magnetism, and quantum dynamics (2013, methodology): “Their approach is among the first applications of the now-common method of measuring slices through a phase diagram through local measurements of a gas in an inhomogeneous potential (Ho and Zhou, 2010; Horikoshi et al., 2010; Navon et al., 2010; Shin et al., 2008).”
Cooling in strongly correlated optical lattices: prospects and challenges (2010, methodology): “Because the chemical potential is small near the edge of the trap, a perturbative expansion for the density distribution [192] can be used to extract the temperature.”
Ultra-cold polarized Fermi gases (2010, background): “An alternate scheme to measure the grand canonical equation of state of the homogeneous gas was proposed recently [86].”
Superconductivity, superfluidity and quantum geometry in twisted multilayer systems (2021, background): “Some theoretical ideas for measuring the superfluid density are a direct analog of the classical experiment with helium-II by Andronikashvili: a finite angular velocity is imparted to the ultracold gas, either by rotating the optical trap or by using a light-induced vector potential, and then the mo”
The BCS–BEC crossover: From ultra-cold Fermi gases to nuclear systems (2018, background): “Recently, novel experimental methodologies have become available which apply tomographic reconstruction techniques to the bare experimental data by still relying on the above LDA approximation [234, 235], thus allowing for a direct extraction of quantities characteristic of the homogeneous gas from ”
Two-dimensional Bose fluids: An atomic physics perspective (2009, methodology): “tions of super uidity. Two promising schemes for a direct measurement of the super uid density (as traditionally dened through transport properties [45]) in an atomic gas have recently been proposed [118, 119]. The rst scheme [118] is based on extracting the super uid density from the in-situ densit”
Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “at constant temperature, the local pressure is obtainable from the integrated column density, where the local chemical potential μ is determined by the known trap potential [69, 70].”