Analytic continuation average spectrum method for quantum liquids
نویسندگان
چکیده
منابع مشابه
Analytic continuation average spectrum method for quantum liquids.
We revisit the problem of determining the real-frequency density response in quantum fluids via analytical continuation of imaginary-time quantum Monte Carlo data. We demonstrate that the average spectrum method (ASM) is capable of revealing resolved modes in the dynamic structure factor of both ortho-deuterium and liquid para-hydrogen, in agreement with experiments and quantum mode-coupling th...
متن کاملConstrained sampling method for analytic continuation.
A method for analytic continuation of imaginary-time correlation functions (here obtained in quantum Monte Carlo simulations) to real-frequency spectral functions is proposed. Stochastically sampling a spectrum parametrized by a large number of δ functions, treated as a statistical-mechanics problem, it avoids distortions caused by (as demonstrated here) configurational entropy in previous samp...
متن کاملFourier spectral method for analytic continuation
The numerical analytic continuation of a function f(z) = f(x + iy) on a strip is discussed in this paper. The data are only given approximately on the real axis. The periodicity of given data is assumed. A truncated Fourier spectral method has been introduced to deal with the ill-posedness of the problem. The theoretic results show that the discrepancy principle can work well for this problem. ...
متن کاملMaximum Entropy Analytic Continuation of Quantum Monte Carlo Data
We present a pedagogical discussion of the Maximum Entropy Method which is a precise and systematic way of analytically continuing Euclidean-time quantum Monte Carlo results to real frequencies. Here, Bayesian statistics are used to determine which of the infinite number of real-frequency spectra are consistent with the QMC data is most probable. Bayesian inference is also used to qualify the s...
متن کاملOn Effective Analytic Continuation
Until now, the area of symbolic computation has mainly focused on the manipulation of algebraic expressions. It would be interesting to apply a similar spirit of “exact computations” to the field of mathematical analysis. One important step for such a project is the ability to compute with computable complex numbers and computable analytic functions. Such computations include effective analytic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2009
ISSN: 0021-9606
DOI: 10.1063/1.3185728