Analytic structure of eigenvalues of coupled quantum systems
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 ex...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2017
|
| In: |
Physica scripta
Year: 2016, Volume: 92, Issue: 1 |
| ISSN: | 1402-4896 |
| DOI: | 10.1088/0031-8949/92/1/015201 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1088/0031-8949/92/1/015201 Verlag, Volltext: http://stacks.iop.org/1402-4896/92/i=1/a=015201 
|
| Author Notes: | Carl M. Bender, Alexander Felski, Nima Hassanpour, S.P. Klevansky and Alireza Beygi |
| Summary: | 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 . |
|---|---|
| Item Description: | Published online: 30 November 2016 Gesehen am 10.12.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1402-4896 |
| DOI: | 10.1088/0031-8949/92/1/015201 |