Propagation and distribution of quantum correlations in a cavity QED network

Coto, Raúl; Orszag, Miguel

doi:10.1088/0953-4075/46/17/175503

Cited by 12 publications

(11 citation statements)

References 48 publications

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“…It is worth noting that for zero detuning (∆ = 0) and restricting the cavities to only the first excited state |1− , we recover our previous results [21,23]. However, for finite detuning and allowing the cavities to have more than one excitation, the dynamics becomes more involved, getting new and interesting results.…”

Section: Mapping To Polaritons Basissupporting

confidence: 82%

Self-trapping triggered by losses in cavity QED

2015

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In a coupled cavity QED network model, we study the transition from a localized superfluid like state to a delocalized Mott insulator like state, triggered by losses. Without cavity losses, the transition never takes place. Further, if one measures the quantum correlations between the polaritons via the negativity, we find a critical cavity damping constant, above which the negativity displays a single peak in the same time region where the transition takes place. Additionally, we identify two regions in the parameter space, where below the critical damping, oscillations of the initial localized state are observed along with a multipeaked negativity, while above the critical value, the oscillations die out and the transition is witnessed by a neat single peaked negativity.

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Section: Mapping To Polaritons Basissupporting

confidence: 82%

Self-trapping triggered by losses in cavity QED

2015

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“…A detailed understanding of the equilibrium properties of the JCH model (2) resorts on approximated analytical solutions [37] or numerical approaches such as density matrix renormalization group [38][39][40][41]. In nonequilibrium situations, one can understand the underlying physics using the time-evolving block decimation algorithm [42][43][44], or simplifying the description using effective Hilbert spaces [32,[45][46][47][48][49]. The latter is particularly appropriate for studying the quench protocol presented in this article, as we consider the closed system scenario.…”

Section: The Modelmentioning

confidence: 99%

Dynamical dimerization phase in Jaynes–Cummings lattices

2020

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We report on an emergent dynamical phase of a strongly-correlated light-matter system, which is governed by dimerization processes due to short-range and long-range two-body interactions. The dynamical phase is characterized by the spontaneous symmetry breaking of the translational invariance and appears in an intermediate regime of light-matter interaction between the resonant and dispersive cases. We describe the quench dynamics from an initial state with integer filling factor of a finite-sized array of coupled resonators, each doped with a two-level system, in a closed and open scenario. The closed system dynamics has an effective Hilbert space description that allows us to demonstrate and characterize the emergent dynamical phase via time-averaged quantities, such as fluctuations in the number of polaritons per site and linear entropy. We prove that the dynamical phase is governed by intrinsic two-body interactions and the lattice topological structure. In the open system dynamics, we show evidence about the robustness of dynamical dimerization processes under loss mechanisms. Our findings can be used to determine the light-matter detuning range, where the dimerized phase emerges.transitions from the Mott-insulating to superfluid phase [31]. Here, we introduce an effective Hilbert space in the two-excitations subspace using the criterion of discarding higher energy polaritonic states, which are out-ofresonance over the evolution [27,32]. This description allows us quantitative explanations for time-averaged quantities such as fluctuations in the number of polaritons per site and linear entropy. Besides, the computational cost is substantially diminished by using a reduced effective Hilbert space. As we extend the quench dynamics to complex finite-sized CRAs, we demonstrate the emergence of DDP, which is governed by intrinsic two-body interactions in the JC lattice. In the open system scenario, our numerical results show evidence about the robustness of dynamical dimerization processes under loss mechanisms, so our work may find inspiration for the observation of DDP within state-of-the-art quantum technologies such as superconducting circuits [15,17] and trapped ions [33,34].This paper is organized as follows. In section 2, we introduce the JCH model and the polariton mapping. In section 3, we describe the quench protocol for the closed JCH dimer. Here, we provide analytical expressions for time-averaged order parameters using an effective Hilbert space. In section 4, we highlight the emergence of a DDP as we extend the one-dimensional JC lattice to three and four sites. Here, section 4.1 describes DDP in a closed system, while in section 4.2, we introduce loss mechanisms in the JC lattice and discuss their effects on the dynamical phase transition. Finally, in section 5, we present our concluding remarks.

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“…The hopping parameter can be tuned in different ways depending on the physical implementation. For instance, it can be achieved through an optical fiber [17,18], evanescent coupling between the cavities [8,16,19], superconducting circuits [20][21][22], and trapped ions [23,24].…”

Section: The Modelmentioning

confidence: 99%

Steering Interchange of Polariton Branches via Coherent and Incoherent Dynamics

Tancara,

Norambuena,

Peña

et al. 2020

Preprint

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Controlling light-matter based quantum systems in the strong coupling regime allows for exploring quantum simulation of many-body physics in nowadays architectures. The atom-field interaction in a cavity QED network provides control and scalability for quantum information processing. Here, we propose the control of single-and two-body Jaynes-Cummings systems in a non-equilibrium scenario, which allows us to establish conditions for the coherent interchange of polariton species. Furthermore, the incoherent interchange triggered by cavity and atomic losses, exhibits a detuningdependent asymmetry in the absorption spectrum. Finally, our findings are featured in the framework of the Superfluid-Mott Insulator quantum phase transition.

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Propagation and distribution of quantum correlations in a cavity QED network

Cited by 12 publications

References 48 publications

Self-trapping triggered by losses in cavity QED

Self-trapping triggered by losses in cavity QED

Dynamical dimerization phase in Jaynes–Cummings lattices

Steering Interchange of Polariton Branches via Coherent and Incoherent Dynamics

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