Dissipation-induced antiferromagneticlike frustration in coupled photonic resonators

Li, Zejian; Soret, Ariane; Ciuti, Cristiano

doi:10.1103/physreva.103.022616

Cited by 11 publications

(5 citation statements)

References 43 publications

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“…Overall, the fully analytical non-Hermitian quantum formalism developed here offers adequate means to compute modal information on 1D chains of N resonators, and it can be naturally extended to nonlinear quantum optics [33]. By increasing the length of the chain, one could study the transition between a discrete ensemble of nanoresonators and a photonic crystal.…”

Section: Resultsmentioning

confidence: 99%

Effective bath model for arrays of coupled non-Hermitian nanoresonators

Vinel,

Li,

Borne

et al. 2021

Preprint

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Nanophotonics systems have recently been studied under the perspective of non-Hermitian physics. Given their potential for wavefront control, nonlinear optics and quantum optics, it is crucial to develop predictive tools to assist nanophotonic design. We present here a simple model relying on the coupling to an effective bath consisting of a continuum of modes to describe systems of coupled resonators, and test it on dielectric nanocylinder chains accessible to experiments. The effective bath coupling constants, which depend non-trivially on the distance between resonators, are extracted from numerical simulations in the case of just two coupled elements. The model predicts successfully the dispersive and reactive nature of modes for configurations with multiple resonators, as validated by numerical solutions. It can be applied to larger systems, which are hardly solvable with finite-element approaches.

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Section: Resultsmentioning

confidence: 99%

Effective bath model for arrays of coupled non-Hermitian nanoresonators

Vinel,

Li,

Borne

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Along this line, the combination of the fidelity susceptibility and trace distance susceptibility with other state-of-the-art simulation strategies for exploring larger lattice is promising, such as the matrix-product-operator approach [55], the neural networks [56][57][58][59][60]. Future exploration of other physical models and phenomena, e.g., geometrical frustration [51,[61][62][63] is also an intriguing perspective.…”

Section: Discussionmentioning

confidence: 99%

Steady-state susceptibility in continuous phase transitions of dissipative systems

Li,

Jin

2022

Preprint

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In this work, we explore the critical behaviors of fidelity susceptibility and trace distance susceptibility associated to the steady states of dissipative systems at continuous phase transitions. We investigate on two typical models, one is the dissipative spin-1/2 XYZ model on two-dimensional square lattice and the other is a driven-dissipative Kerr oscillator. We find that the susceptibilities of fidelity and trace distance exhabit singular behaviors near the critical points of phase transitions in both models. The critical points, in thermodynamic limit, extracted from the scalings of the critical controlling parameters to the system size or nonlinearity agree well with the existed results.

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“…During the final stage of this project, a paper [60] appeared, investigating mixed steady states of dissipatively coupled Kerr resonator arrays, which correspond to the ground states of a frustrated antiferromagnet.…”

Section: Note Addedmentioning

confidence: 99%

Stabilization of multi-mode Schrodinger cat states via normal-mode dissipation engineering

Zapletal,

Nunnenkamp,

Brunelli

2021

Preprint

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Non-Gaussian quantum states have been deterministically prepared and autonomously stabilized in singleand two-mode circuit quantum electrodynamics architectures via engineered dissipation. However, it is currently unknown how to scale up this technique to multi-mode non-Gaussian systems. Here, we upgrade dissipation engineering to collective (normal) modes of nonlinear resonator arrays and show how to stabilize multi-mode Schrödinger cat states. These states are multi-photon and multi-mode quantum superpositions of coherent states in a single normal mode delocalized over an arbitrary number of cavities. We consider tailored dissipative coupling between resonators that are parametrically driven and feature an on-site nonlinearity, which is either a Kerr-type nonlinearity or an engineered two-photon loss. For both types of nonlinearity, we find the same exact closed-form solutions for the two-dimensional steady-state manifold spanned by superpositions of multi-mode Schrödinger cat states. We further show that, in the Zeno limit of strong dissipative coupling, the even parity multi-mode cat state can be deterministically prepared from the vacuum. Remarkably, engineered two-photon loss gives rise to a fast relaxation towards the steady state, protecting the state preparation against decoherence due to intrinsic single-photon losses, which sets in at longer times. The relaxation time is independent of system size making the state preparation scalable. Multi-mode cat states are naturally endowed with a noise bias that increases exponentially with system size and can thus be exploited for enhanced robust encoding of quantum information.

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Dissipation-induced antiferromagneticlike frustration in coupled photonic resonators

Cited by 11 publications

References 43 publications

Effective bath model for arrays of coupled non-Hermitian nanoresonators

Effective bath model for arrays of coupled non-Hermitian nanoresonators

Steady-state susceptibility in continuous phase transitions of dissipative systems

Stabilization of multi-mode Schrodinger cat states via normal-mode dissipation engineering

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