Please use this identifier to cite or link to this item:
Title: Non-equilibrium many-body effects in driven nonlinear resonator arrays
Authors: Grujic, T.
Clark, S.R. 
Jaksch, D. 
Angelakis, D.G.
Issue Date: Oct-2012
Citation: Grujic, T., Clark, S.R., Jaksch, D., Angelakis, D.G. (2012-10). Non-equilibrium many-body effects in driven nonlinear resonator arrays. New Journal of Physics 14 : -. ScholarBank@NUS Repository.
Abstract: We study the non-equilibrium behavior of optically driven dissipative coupled resonator arrays. Assuming each resonator is coupled with a two-level system via a Jaynes-Cummings interaction, we calculate the many-body steady state behavior of the system under coherent pumping and dissipation. We propose and analyze the many-body phases using experimentally accessible quantities such as the total excitation number, the emitted photon spectra and photon coherence functions for different parameter regimes. In parallel, we also compare and contrast the expected behavior of this system assuming the local nonlinearity in the cavities is generated by a generic Kerr effect as described by the Bose-Hubbard (BH) model rather than a Jaynes-Cummings interaction. We find that the behavior of the experimentally accessible observables produced by the two models differs for realistic regimes of interactions even when the corresponding nonlinearities are of similar strength. We analyze in detail the extra features available in the Jaynes-Cummings-Hubbard (JCH) model originating from the mixed nature of the excitations and investigate the regimes where the BH approximation would faithfully match the JCH physics. We find that the latter is true for values of the light-matter coupling and losses beyond the reach of current technology. Throughout the study we operate in the weak pumping, fully quantum mechanical regime where approaches such as mean field theory fail, and instead use a combination of quantum trajectories and the time evolving block decimation algorithm to compute the relevant steady state observables. In our study we have assumed small to medium size arrays (from 3 up to 16 sites) and values of the ratio of coupling to dissipation rate g/γ ∼ 20, which makes our results implementable with current designs in circuit QED and with near future photonic crystal set ups. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Source Title: New Journal of Physics
ISSN: 13672630
DOI: 10.1088/1367-2630/14/10/103025
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Feb 18, 2019


checked on Feb 11, 2019

Page view(s)

checked on Jan 18, 2019

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.