On the observability and asymmetry of adiabatic state flips generated by exceptional points

Raam Uzdin*, Alexei Mailybaev, Nimrod Moiseyev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

172 Scopus citations

Abstract

In open quantum systems where the effective Hamiltonian is not Hermitian, it is known that the adiabatic (or instantaneous) basis can be multivalued: by adiabatically transporting an eigenstate along a closed loop in the parameter space of the Hamiltonian, it is possible to end up in an eigenstate different from the initial eigenstate. This adiabatic flip effect is an outcome of the appearance of a degeneracy known as an exceptional point inside the loop. We show that contrary to what is expected of the transport properties of the eigenstate basis, the interplay between gain/loss and non-adiabatic couplings imposes fundamental limitations on the observability of this adiabatic flip effect.

Original languageAmerican English
Article number435302
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number43
DOIs
StatePublished - 28 Oct 2011
Externally publishedYes

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