Supersolid phases of light in extended Jaynes-Cummings-Hubbard systems

Bujnowski, B.; Corso, J. K.; Hayward, A. L. C.; Cole, Jared H.; Martin, A. M.

doi:10.1103/physreva.90.043801

Cited by 18 publications

(19 citation statements)

References 72 publications

(79 reference statements)

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“…Outlook.-Our driven-dissipative supersolid is essentially different than other proposed driven-dissipative supersolid states in Jaynes-Cummings-Hubbard lattices [44,45], in that the latter ones are only the lattice supersolid with a broken discrete symmetry and no gapless Goldstone mode [46]. Crucially due to the genuine supersolidity and existence of the undamped gapless Goldstone mode, our proposal may have applications in precision measurements.…”

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confidence: 79%

Driven-Dissipative Supersolid in a Ring Cavity

et al. 2018

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Supersolids are characterized by the counterintuitive coexistence of superfluid and crystalline order. Here we study a supersolid phase emerging in the steady state of a driven-dissipative system. We consider a transversely pumped Bose-Einstein condensate trapped along the axis of a ring cavity and coherently coupled to a pair of degenerate counterpropagating cavity modes. Above a threshold pump strength the interference of photons scattered into the two cavity modes results in an emergent superradiant lattice, which spontaneously breaks the continuous translational symmetry towards a periodic atomic pattern. The crystalline steady state inherits the superfluidity of the Bose-Einstein condensate, thus exhibiting genuine properties of a supersolid. A gapless collective Goldstone mode correspondingly appears in the superradiant phase, which can be nondestructively monitored via the relative phase of the two cavity modes on the cavity output. Despite cavity-photon losses the Goldstone mode remains undamped, indicating the robustness of the supersolid phase.

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confidence: 79%

Driven-Dissipative Supersolid in a Ring Cavity

et al. 2018

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“…Recently, there has been considerable effort applied to the study of solid-state phenomena in Jaynes-Cummings-Hubbard (JCH) systems. These studies have predicted a superfluid-Mott insulator phase transition [1][2][3][4][5][6][7] , supersolid 8 and Bose-glass 9 phases, metamaterial properties 10 , and, in the presence of time-reversal-symmetry breaking, fractional quantum Hall states [11][12][13][14] . Almost all of these studies have focused on the case where each lattice element of the system is comprised of a two-level system interacting with a single photonic mode, resulting in the emergence of quasiparticles, referred to as polaritons.…”

Section: Introductionmentioning

confidence: 99%

Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems

Prasad

Martin

2018

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A generalisation of the Jaynes-Cummings-Hubbard model for coupled-cavity arrays is introduced, where the embedded two-level system in each cavity is replaced by a Ξ-type three-level system. We demonstrate that the resulting effective polariton-polariton interactions at each site are both two-body and three-body. By tuning the ratio of the two transition dipole matrix elements, we show that the strength and sign of the two-body interaction can be controlled whilst maintaining a three-body repulsion. We then proceed to demonstrate how different two-body and three-body interactions alter the mean field superfluid-Mott insulator phase diagram, with the possible emergence of a pair superfluid phase in the two-body attractive regime.

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“…On the other hand, in Ref. [31] a light supersolid in the extended JCH model on the square lattices was found by MF methods. The authors pointed out that the supersolid phase needed to be confirmed by other large scale numerical methods, as the results from the MF method are not very reliable.…”

Section: Introductionmentioning

confidence: 98%

Supersolid and pair correlations of the extended Jaynes-Cummings-Hubbard model on triangular lattices

et al. 2019

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We study the extended Jaynes-Cummings-Hubbard model on the triangular and one-dimensional cavity lattices. By using mean-field and density matrix renormalization group methods, we observe various types of solids with different density patterns and find evidences for light supersolids. The triangular lattices exhibit extended supersolid regions in the phase diagram. Apart from the holeexcited supersolid phase, we also see an additional supersolid phase. Besides, novel pair correlations are found due to the interplay between the atoms in the cavities and atom-photon interaction. On the one-dimensional lattices both for the hardcore and softcore models, we find indications for a particle-excited or a hole-excited supersolid phase emerging around the solid phase. Beats emerge within the SS phase for the density-density correlation in both hardcore and softcore models. The results are helpful in guiding experimentalists in realizing novel quantum phases on optical lattices.

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Supersolid phases of light in extended Jaynes-Cummings-Hubbard systems

Cited by 18 publications

References 72 publications

Driven-Dissipative Supersolid in a Ring Cavity

Driven-Dissipative Supersolid in a Ring Cavity

Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems

Supersolid and pair correlations of the extended Jaynes-Cummings-Hubbard model on triangular lattices

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