Determining system Hamiltonian from eigenstate measurements without correlation functions
نویسندگان
چکیده
منابع مشابه
From local observables in a single eigenstate to parent Hamiltonians Determining a local Hamiltonian from a single eigenstate Authors: Xiao-Liang Qi and Daniel Ranard
In contrast to the standard approach, of beginning with a Hamiltonian and proceeding to find its eigenstates, the featured reference invites us to consider the inverse problem. Given a single eigenstate, can we reverse engineer the corresponding Hamiltonian of a many body system? The answer to this question, modulo certain caveats, is argued to be yes. Given the enormous amount of information p...
متن کاملDetermining object shape from local velocity measurements
-In this paper we discuss the following question: what can be said on the movement and shape of a planar rigid object from sparse samplings of edge crossing measurements. It is shown that if the object moves in translation over an array ofdetectors, providing local edge crossing information, one can determine the translation velocity and use a backprojection process to obtain an equivalent samp...
متن کاملDetermining Ω from cluster correlation function
It is shown how data on the cluster correlation function can be used in order to reconstruct the density of the pregalactic density field on the cluster mass scale. The method is applied to the data on the cluster correlation amplitude – richness dependence. The spectrum of the recovered density field has the same shape as the density field derived from data on the galaxy correlation function w...
متن کاملIntramolecular Dynamics from Eigenstate-resolved Infrared Spectra
Understanding intramolecular energy flow in molecules is one of the central goals of chemical physics. Statistical theories [such as Rice-Ramsperger-Kassel-MarCus (RRKM) theory] of unimolecular reaction rates, which assume that the vibrational degrees of freedom rapidly exchange energy, have proved extremely successful (1). Recent work on small molecules has provided rigorous tests of these the...
متن کاملCorrelation Functions of a Lattice System
We deduce an integral equation for the infinite volume correlation functions of a class of lattice systems and we apply it to find results on the analyticity in the interaction potentials of the pressure and of the correlation functions and on the ergodicity of the equilibrium states in the gaseous phase. By similar methods we prove some cluster properties for the correlation functions in the g...
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: New Journal of Physics
سال: 2020
ISSN: 1367-2630
DOI: 10.1088/1367-2630/abaacf