Analytic structure of eigenvalues of coupled quantum systems

作者:Bender Carl M; Felski Alexander; Hassanpour Nima; Klevansky S P*; Beygi Alireza
来源:Physica Scripta, 2017, 92(1): 015201.
DOI:10.1088/0031-8949/92/1/015201

摘要

By analytically continuing the coupling constant g of a coupled quantum theory, one can, at least in principle, arrive at a state whose energy is lower than the ground state of the theory. The idea is to begin with the uncoupled g = 0 theory in its ground state, to analytically continue around an exceptional point (square-root singularity) in the complex-coupling-constant plane, and finally to return to the point g = 0. In the course of this analytic continuation, the uncoupled theory ends up in an unconventional state whose energy is lower than the original ground-state energy. However, it is unclear whether one can use this analytic continuation to extract energy from the conventional vacuum state; this process appears to be exothermic but one must do work to vary the coupling constant g.

  • 出版日期2017-1