Dynamical critical exponent of the Jaynes-Cummings-Hubbard model

Journal Article · Sat Oct 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.041608· OSTI ID:22080307

Hohenadler, M ^[1]; Aichhorn, M ^[2]; Schmidt, S; Pollet, L ^[3]

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1. Institut fuer Theoretische Physik und Astrophysik, Universitaet Wuerzburg, D-97074 Wuerzburg (Germany)
2. Institut fuer Theoretische Physik-Computational Physics, TU Graz, A-8010 Graz (Austria)
3. Institut fuer Theoretische Physik, ETH Zurich, CH-8093 Zuerich (Switzerland)

An array of high-Q electromagnetic resonators coupled to qubits gives rise to the Jaynes-Cummings-Hubbard model describing a superfluid to Mott-insulator transition of lattice polaritons. From mean-field and strong-coupling expansions, the critical properties of the model are expected to be identical to the scalar Bose-Hubbard model. A recent Monte Carlo study of the superfluid density on the square lattice suggested that this does not hold for the fixed-density transition through the Mott lobe tip. Instead, mean-field behavior with a dynamical critical exponent z=2 was found. We perform large-scale quantum Monte Carlo simulations to investigate the critical behavior of the superfluid density and the compressibility. We find z=1 at the tip of the insulating lobe. Hence the transition falls in the three-dimensional XY universality class, analogous to the Bose-Hubbard model.

• OSTI ID: 22080307
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
COMPUTERIZED SIMULATION
HUBBARD MODEL
MEAN-FIELD THEORY
MONTE CARLO METHOD
POLARONS
QUBITS
STRONG-COUPLING MODEL
THREE-DIMENSIONAL CALCULATIONS