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      "statement": "# Inferring bulk thermodynamics from trapped-gas density profiles\n\nHo and Zhou proposed a way to recover bulk thermodynamic information from the density profiles of trapped atomic gases. Within a local-density description, spatially varying confinement scans the local chemical potential. Their scheme combines pressure reconstruction with comparisons between nearby equilibrated states at matched local chemical potentials to infer entropy and other thermodynamic responses. They also proposed extensions for superfluid density and staggered magnetization, connecting experimentally accessible images to quantities needed to map many-body phase diagrams.\n\n## Scientific scope\n\nThis is a theoretical measurement scheme, rather than an experimental determination of every proposed observable. It assumes local equilibrium, a valid local-density approximation, calibrated confinement, adequate imaging and control of temperature or perturbations. Finite differences approximate thermodynamic derivatives; rotating-gas proposals additionally require a specified low-rotation, vortex-free regime. Some formulas in the preprint and supplement require clarification; the numerical recipes have not been independently validated.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nTin-Lun Ho; Qi Zhou\n\nThese are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.\n\n\n\n## Original sources\n\n- [Obtaining phase diagram and thermodynamic quantities of bulk systems from the densities of trapped gases (arXiv0901.0018v1)](https://arxiv.org/pdf/0901.0018v1)\n",
      "summary": "Ho and Zhou proposed a way to recover bulk thermodynamic information from the density profiles of trapped atomic gases. Within a local-density description, spatially varying confinement scans the local chemical potential. Their scheme combines pressure reconstruction with comparisons between nearby equilibrated states at matched local chemical potentials to infer entropy and other thermodynamic responses. They also proposed extensions for superfluid density and staggered magnetization, connecting experimentally accessible images to quantities needed to map many-body phase diagrams.",
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    "what_changed": "Ho and Zhou proposed a way to recover bulk thermodynamic information from the density profiles of trapped atomic gases. Within a local-density description, spatially varying confinement scans the local chemical potential. Their scheme combines pressure reconstruction with comparisons between nearby equilibrated states at matched local chemical potentials to infer entropy and other thermodynamic responses. They also proposed extensions for superfluid density and staggered magnetization, connecting experimentally accessible images to quantities needed to map many-body phase diagrams.",
    "scope": "Ho and Zhou proposed a way to recover bulk thermodynamic information from the density profiles of trapped atomic gases. Within a local-density description, spatially varying confinement scans the local chemical potential. Their scheme combines pressure reconstruction with comparisons between nearby equilibrated states at matched local chemical potentials to infer entropy and other thermodynamic responses. They also proposed extensions for superfluid density and staggered magnetization, connecting experimentally accessible images to quantities needed to map many-body phase diagrams. This is a theoretical measurement scheme, rather than an experimental determination of every proposed observable. It assumes local equilibrium, a valid local-density approximation, calibrated confinement, adequate imaging and control of temperature or perturbations. Finite differences approximate thermodynamic derivatives; rotating-gas proposals additionally require a specified low-rotation, vortex-free regime. Some formulas in the preprint and supplement require clarification; the numerical recipes have not been independently validated.",
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