Two-photon Rabi-Hubbard and Jaynes-Cummings-Hubbard models: Photon-pair superradiance, Mott insulator, and normal phases

Autor: Frederic Hebert, Shifeng Cui, G. George Batrouni, Benoît Grémaud, Wenan Guo, Valery Rousseau
Přispěvatelé: Institut Non Linéaire de Nice Sophia-Antipolis (INLN), Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), CPT - E6 Nanophysique, Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Department of Physics [Davis], University of California [Davis] (UC Davis), University of California-University of California, Institut de Physique de Nice (INPHYNI), Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015 - 2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015 - 2019) (COMUE UCA), Université Nice Sophia Antipolis (1965 - 2019) (UNS), Department of Physics and Astronomy [Univ California Davis] (Physics - UC Davis), University of California (UC)-University of California (UC)
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Physical Review A
Physical Review A, American Physical Society 2019, 100 (3), pp.033608. ⟨10.1103/PhysRevA.100.033608⟩
Physical Review A, American Physical Society 2019, 100 (3), ⟨10.1103/PhysRevA.100.033608⟩
Physical Review A, 2019, 100 (3), pp.033608. ⟨10.1103/PhysRevA.100.033608⟩
ISSN: 2469-9926
2469-9934
DOI: 10.1103/PhysRevA.100.033608⟩
Popis: We study the ground state phase diagrams of two-photon Dicke, the one-dimensional Jaynes-Cummings-Hubbard (JCH), and Rabi-Hubbard (RH) models using mean field, perturbation, quantum Monte Carlo (QMC), and density matrix renormalization group (DMRG) methods. We first compare mean field predictions for the phase diagram of the Dicke model with exact QMC results and find excellent agreement. The phase diagram of the JCH model is then shown to exhibit a single Mott insulator lobe with two excitons per site, a superfluid (SF, superradiant) phase and a large region of instability where the Hamiltonian becomes unbounded. Unlike the one-photon model, there are no higher Mott lobes. Also unlike the one-photon case, the SF phases above and below the Mott are surprisingly different: Below the Mott, the SF is that of photon {\it pairs} as opposed to above the Mott where it is SF of simple photons. The mean field phase diagram of the RH model predicts a transition from a normal to a superradiant phase but none is found with QMC.
14 pages, 14 figures
Databáze: OpenAIRE