Asymptotic equality of the isolated and the adiabatic susceptibility

L. Rosenfeld

Robert S. Cohen, John J. Stachel

David E. Roberts, Jack Davis

Nobuhiko Saitô

A quantum statistical mechanical proof of the equivalence of adiabatic and isolated susceptibilities in large systems is given by Broer's method using a Gibbs relation. Further a brief mention is made of the susceptibilities in non-equilibrium cases.

Yuuya Chiba, Kenichi Asano, Akira Shimizu

We examine how the magnetic susceptibility obtained by the quench experiment on isolated quantum systems is related to the isothermal and adiabatic susceptibilities defined in thermodynamics. Under the conditions similar to the eigenstate thermalization hypothesis, together with some additional natural ones, we prove that for translationally invariant systems the quench susceptibility as a function of wave vector k is discontinuous at k=0. Moreover, its values at k=0 and the k→0 limit coincide with the adiabatic and the isothermal susceptibilities, respectively. We give numerical predictions on how these particular behaviors can be observed in experiments on the XYZ spin chain with tunable parameters, and how they deviate when the conditions are not fully satisfied.

Rachel Berkowitz