TY - JOUR
T1 - Polaritonic properties of the Jaynes-Cummings lattice model in two dimensions
AU - Knap, Michael
AU - Arrigoni, Enrico
AU - Von Der Linden, Wolfgang
N1 - Funding Information:
We made use of parts of the ALPS library [34] for the implementation of lattice geometries and for parameter parsing. We acknowledge financial support from the Austrian Science Fund (FWF) under the doctoral program “Numerical Simulations in Technical Sciences” Grant No. W1208-N18 (M.K.) and under Project No. P18551-N16 (E.A.).
PY - 2011/9
Y1 - 2011/9
N2 - Light-matter systems allow to realize a strongly correlated phase where photons are present. In these systems strong correlations are achieved by optical nonlinearities, which appear due to the coupling of photons to atomic-like structures. This leads to intriguing effects, such as the quantum phase transition from the Mott to the superfluid phase. Here, we address the two-dimensional Jaynes-Cummings lattice model. We evaluate the boundary of the quantum phase transition and study polaritonic properties. In order to be able to characterize polaritons, we investigate the spectral properties of both photons as well as two-level excitations. Based on this information we introduce polariton quasiparticles as appropriate wavevector, band index, and filling dependent superpositions of photons and two-level excitations. Finally, we analyze the contributions of the individual constituents to the polariton quasiparticles.
AB - Light-matter systems allow to realize a strongly correlated phase where photons are present. In these systems strong correlations are achieved by optical nonlinearities, which appear due to the coupling of photons to atomic-like structures. This leads to intriguing effects, such as the quantum phase transition from the Mott to the superfluid phase. Here, we address the two-dimensional Jaynes-Cummings lattice model. We evaluate the boundary of the quantum phase transition and study polaritonic properties. In order to be able to characterize polaritons, we investigate the spectral properties of both photons as well as two-level excitations. Based on this information we introduce polariton quasiparticles as appropriate wavevector, band index, and filling dependent superpositions of photons and two-level excitations. Finally, we analyze the contributions of the individual constituents to the polariton quasiparticles.
KW - Band Lanczos method
KW - Jaynes-Cummings lattice model
KW - Polaritons
KW - Quantum phase transition
KW - Spectral properties
KW - Variational cluster approach
UR - http://www.scopus.com/inward/record.url?scp=79958081068&partnerID=8YFLogxK
U2 - 10.1016/j.cpc.2011.02.004
DO - 10.1016/j.cpc.2011.02.004
M3 - Article
AN - SCOPUS:79958081068
SN - 0010-4655
VL - 182
SP - 2036
EP - 2040
JO - Computer Physics Communications
JF - Computer Physics Communications
IS - 9
ER -