Abstract
We estimate the dynamic structure factorS(q, ω) for liquid4He in both its normal and superfluidphases. A path integral Monte Carlo simulation is performed to compute the imaginary-time polarization propagatorF(q, τ), from whichS(q, ω) is extracted by maximum entropy. Results for normal4He are in good quantitative agreement with recent neutron scattering experimental data; broad agreement is found for superfluid4He as well, though sharp features are lost, particularly at lowq. We attribute the excessive smoothness of the results to the entropic “prior probability” function used in the maximum entropy reconstruction. The experimentally observed ground state excitation spectrumE(q) is accurately reproduced in the 0⩽q⩽2.5 Å−1 range.
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Boninsegni, M., Ceperley, D.M. Density fluctuations in liquid4He. Path integrals and maximum entropy. J Low Temp Phys 104, 339–357 (1996). https://doi.org/10.1007/BF00751861
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DOI: https://doi.org/10.1007/BF00751861