Equilibrium and disorder-induced behavior in quantum light–matter systems

Mascarenhas, Eduardo; Heaney, Libby; Aguiar, M. C. O.; Santos, Marcelo F.

doi:10.1088/1367-2630/14/4/043033

Cited by 13 publications

(11 citation statements)

References 43 publications

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“…In figure 5 we plot the ratio EC IC S S as a function of the number of spin excitations N exc in an N 3 3 =´( figure 5(a)) and N 5 5 =´array ( figure 5(b)). For the 3 × 3 array we find perfect agreement between the exact results obtained by exact diagonalization of the spin Hamiltonian (6c) in each excitation sector and the QMC simulation of that hamiltonian 9 . Moreover we find a good agreement also with the QMC simulation of the TC model (2), which is improving with increasing value of at w D as it should.…”

Section: Correlationssupporting

confidence: 62%

“…In this context, the use of cavities plays a prominent role as the strong confinement of the electromagnetic field implies strong interaction with matter coupled to the cavity modes. In particular, it offers possibilities to realize and study a plethora of quantum light-matter many-body Hamiltonians such as the so-called Jaynes-Cummings-Hubbard or Rabi-Hubbard models [1][2][3][4][5][6][7][8][9][10][11], or quantum fluids of light, where the effective interaction between light fields is mediated by a nonlinear medium [12][13][14]. This offers ways to study various physical phenomena such as excitation propagation in chiral networks [15][16][17], the physics of spin glasses [18][19][20] and quantum Hopfield networks [21,22], self-organization of the atomic motion in optical cavities [23][24][25][26][27] or quantum phase transitions in arrays of nanocavity quantum dots [28] and in Coulomb crystals [29].…”

Section: Introductionmentioning

confidence: 99%

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Effective spin physics in two-dimensional cavity QED arrays

et al. 2017

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We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a multimode Tavis-Cummings (TC) Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to an effective spin Hamiltonian in the dispersive regime. In one-dimension we provide an exact analytical solution. In two-dimensions, we perform mean-field study and large scale quantum Monte Carlo simulations of both the TC and the effective spin models. We discuss the phase diagram and the parameter regime which gives rise to frustrated interactions between the spins. We provide a quantitative description of the phase transitions and correlation properties featured by the system and we discuss graph-theoretical properties of the ground states in terms of graph colourings using Pólya's enumeration theorem.

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Section: Correlationssupporting

confidence: 62%

Section: Introductionmentioning

confidence: 99%

Effective spin physics in two-dimensional cavity QED arrays

et al. 2017

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“…Quantum information theory has provided novel perspectives in this context based, for example, on the analysis of the intrinsic correlations (entanglement entropy, entanglement spectrum) of the quantum states of a given system [18][19][20][21][22][23][24][25][26][27][28][29][30][31]. More recently, a few studies have analyzed the so-called local convertibility of quantum states [10,[32][33][34], which introduces an operational view related to quantum computation.…”

Section: Introductionmentioning

confidence: 99%

Nonuniversality of entanglement convertibility

et al. 2014

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Recently, it has been suggested that operational properties connected to quantum computation can be alternative indicators of quantum phase transitions. In this work we systematically study these operational properties in one-dimensional systems that present phase transitions of different orders. For this purpose, we evaluate the local convertibility between bipartite ground states. Our results suggest that the operational properties, related to nonanalyticities of the entanglement spectrum, are good detectors of explicit symmetries of the model, but not necessarily of phase transitions. We also show that thermodynamically equivalent phases, such as Luttinger liquids, may display different convertibility properties depending on the underlying microscopic model.

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“…Noticeably, the effects of disorder in arrays of coupled cavities has been studied in Ref. [37,38] for both small and large-scale arrays.…”

Section: Analysis Of the Dynamics: Multipartite Entanglement Genmentioning

confidence: 99%

Dynamics of interacting Dicke model in a coupled-cavity array

2014

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We consider the dynamics of an array of mutually interacting cavities, each containing an ensemble of N two-level atoms. By exploring the possibilities offered by ensembles of various dimensions and a range of atom-light and photon-hopping values, we investigate the generation of multi-site entanglement, as well as the performance of excitation transfer across the array resulting from the competition between on-site non-linearities of the matter-light interaction and inter-site photon hopping. In particular, for a three cavities interacting system it is observed that the initial excitation in the first cavity completely transfers to the ensemble in the third cavity through the hopping of photons between the adjacent cavities. Probabilities of the transfer of excitation of the cavity modes and ensembles exhibit characteristics of fast and slow oscillations governed by coupling and hopping parameters respectively. In the large hopping case, by seeding an initial excitation in the cavity at the center of the array, a tripartite W state, as well as a bipartite maximally entangled state is obtained, depending on the interaction time. Population of the ensemble in a cavity has a positive impact on the rate of excitation-transfer between the ensembles and their local cavity modes. In particular, for ensembles of 5 to 7 atoms, tripartite W states can be produced even when the hopping rate is comparable to the cavity-atom one. A similar behavior of the transfer of excitation is observed for a four coupled-cavity system with two initial excitations.

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Equilibrium and disorder-induced behavior in quantum light–matter systems

Cited by 13 publications

References 43 publications

Effective spin physics in two-dimensional cavity QED arrays

Effective spin physics in two-dimensional cavity QED arrays

Nonuniversality of entanglement convertibility

Dynamics of interacting Dicke model in a coupled-cavity array

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