Volume 105, Number 4, February 2014
|Number of page(s)||6|
|Published online||03 March 2014|
Non-Hermitian quantum dynamics and entanglement of coupled nonlinear resonators
1 Department of Physics, Koç University - Sarıyer, İstanbul, 34450, Turkey
2 Department of Physics, Abant Izzet Baysal University - Bolu, 14280, Turkey
Received: 25 December 2013
Accepted: 4 February 2014
We consider a generalization of a recently proposed non-Hermitian model for resonant cavities coupled by a chiral mirror by taking into account number non-conservation and nonlinear interactions. We analyze non-Hermitian quantum dynamics of populations and entanglement of the cavity modes. We find that the interplay between initial coherence and non-Hermitian coupling leads to a counterintuitive population transfer. While an initially coherent cavity mode is depleted, the other empty cavity can be populated more than or less than the initially filled one. Moreover, the presence of nonlinearity yields population collapse and revival as well as bipartite entanglement of the cavity modes. In addition to coupled cavities, we point out that similar models can be found in -symmetric Bose-Hubbard dimers of Bose-Einstein condensates or in coupled soliton-plasmon waveguides. We specifically illustrate the quantum dynamics of populations and entanglement in a heuristic model that we propose for a soliton-plasmon system with soliton amplitude-dependent asymmetric interaction. Degree of asymmetry, nonlinearity and coherence are examined to control plasmon excitations and soliton-plasmon entanglement. Relations to -symmetric lasers and Jahn-Teller systems are pointed out.
PACS: 03.65.-w – Quantum mechanics / 42.50.Pq – Cavity quantum electrodynamics; micromasers / 73.20.Mf – Collective excitations (including excitons, polarons, plasmons and other charge-density excitations)
© EPLA, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.