Dark-polariton bound pairs in the modified Jaynes-Cummings-Hubbard model

Maggitti, A.; Radonjić, M.; Jelenković, B. M.

doi:10.1103/physreva.93.013835

Cited by 7 publications

(2 citation statements)

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“…A large number of solid-state phenomena are exhibited, such as the superfluid and Mott insulator phases [13][14][15][16], fractional quantum Hall physics [17], metamaterial properties [18], and the Josephson effect [19]. Additionally, there are large investigations regarding extended JCH models with each cavity coupled with a multi-level atom, including the supersolid phase [20], Pfaffian states [21], dark polariton bound pairs [22], first-order phase transitions [23] and a pair superfluid phase [24]. Recently, the Dicke-Bose-Hubbard model was also introduced to discuss the collective effects on the quantum phase transitions containing the superfluid to the Bose-glassy phase and the Mott insulator state transition [25,26], the disappearance of the superposition states [27,28] and the Mott-lobe structures [29] with increasing the number of atoms.…”

Section: Introductionmentioning

confidence: 99%

Superfluid–Mott insulator quantum phase transition in hybrid cavity optomechanical arrays

Ma¹,

Tan²,

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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A two-dimensional hybrid cavity optomechanical array formed by an optomechanical cavity embedded with a two-level atom in each site is introduced to discuss the superfluid–Mott insulator quantum phase transition of light. On account of the optomechanical coupling effects stemmed from the coupled movable oscillator, the energy spectrum of the system changes, and an effective on-site repulsive interaction is reformed by modulating the optomechanically controlled parameters. By adjusting the detuning, an intersection between different critical chemical potentials can be found together with a disappearance of certain Mott lobes physically. The pronounced optomechanical coupling strength is in favor of the Mott insulator phase due to the enhanced effective on-site interactions. Additionally, the Kerr-nonlinearity reduces the average excitation of the high Mott insulator state and diminishes the superfluid regime. The results obtained here provide a novel image for characterizing the quantum phase transitions in optomechanical array systems, which will offer valuable insight for quantum simulations.

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Section: Introductionmentioning

confidence: 99%

Superfluid–Mott insulator quantum phase transition in hybrid cavity optomechanical arrays

Ma¹,

Tan²,

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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“…The realization of coherent manipulation and controlling of photons allows us to achieve photon quantum information processing [1] as well as to explore exotic many-body phenomena of photons [2]. Cavity array [3][4][5][6][7], in which each single-mode cavity interacts with a two-level atom, is a promising platform to accomplish the required target and has now been considered extensively [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. On one hand, this platform has a novel interplay between strong local nonlinearities and photon hopping of the nearest-neighbor cavities, which has a phenomenological analogy to those of the Bose-Hubbard model [27] realized, for example, by ultracold atoms in optical lattices [28].…”

Section: Introductionmentioning

confidence: 99%

Superfluid–Mott-insulator quantum phase transition of light in a two-mode cavity array with ultrastrong coupling

et al. 2017

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In this paper we construct a new type of cavity array, in each cavity of which multiple two-level atoms interact with two independent photon modes. This system can be totally governed by a two-mode Dicke-lattice model, which includes all of the counter-rotating terms and therefore works well in the ultrastrong coupling regime achieved in recent experiments. Attributed to its special atom-photon coupling scheme, this model supports a global conserved excitation and a continuous U (1) symmetry, rather than the discrete Z2 symmetry in the standard Dicke-lattice model. This distinct change of symmetry via adding an extra photon mode strongly impacts the nature of photon localization/delocalization behavior. Specifically, the atom-photon interaction features stable Mott-lobe structures of photons and a second-order superfluid-Mott-insulator phase transition, which share similarities with the Jaynes-Cummings-lattice and Bose-Hubbard models. More interestingly, the Mott-lobe structures predicted here depend crucially on the atom number of each site. We also show that our model can be mapped into a continuous XX spin model. Finally, we propose a scheme to implement the introduced cavity array in circuit quantum electrodynamics. This work broadens our understanding of strongly-correlated photons.

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Quantum phase transitions of light in a dissipative Dicke-Bose-Hubbard model

2017

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The impacts that the environment has on the quantum phase transition of light in the DickeBose-Hubbard model are investigated. Based on the quasibosonic approach, mean field theory and the perturbation theory, the formulation of the Hamiltonian, the eigenenergies and the superfluid order parameter are obtained analytically. Compared with the ideal cases, the order parameter of the system evolves with time as the photons naturally decay in their environment. When the system starts with the superfluid state, the dissipation makes the photons tend to localize, and a greater hopping energy of photon is required to restore the long-range phase coherence of the localized state of the system. Furthermore, the Mott lobes disappears and the system tends to be classical with the number of atoms increasing; however, the atomic number is far lower than that expected under ideal circumstances. Therefore, our theoretical results offer valuable insight into the quantum phase transition of a dissipative system.

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Dark-polariton bound pairs in the modified Jaynes-Cummings-Hubbard model

Cited by 7 publications

References 50 publications

Superfluid–Mott insulator quantum phase transition in hybrid cavity optomechanical arrays

Superfluid–Mott insulator quantum phase transition in hybrid cavity optomechanical arrays

Superfluid–Mott-insulator quantum phase transition of light in a two-mode cavity array with ultrastrong coupling

Quantum phase transitions of light in a dissipative Dicke-Bose-Hubbard model

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