Topological Dissipation in a Time-Multiplexed Photonic Resonator Network

Leefmans, Christian; Dutt, Avik; Williams, J. G.; Yuan, Luqi; Parto, Midya; Nori, Franco; Fan, Shanhui; Marandi, Alireza

doi:10.48550/arxiv.2104.05213

Cited by 10 publications

(10 citation statements)

References 12 publications

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“…Non-Hermitian lattices in the frequency space could be also engineered through simultaneous amplitude and phase modulations of the Kerr resonator [34]. Finally, more complex synthetic structures with non-trivial topologies could be generated by using multiple coupled or multi-component, modulated cavities [32,[61][62][63][64], whereas on-chip systems could be engineered by leveraging state-of-the-art photonic integration [33,65]. To conclude, our work establishes that synthetic dimension engineering in Kerr-type optical resonators can be used to study how nonlinearity and dissipation affect Bloch band transport, whilst simultaneously permitting new avenues for the manipulation of dissipative CSs with potential applications in optical frequency comb generation and nonlinear topological photonics [52].…”

Section: Discussionmentioning

confidence: 99%

Bloch Oscillations of Driven Dissipative Solitons in a Synthetic Dimension

Englebert¹,

Goldman²,

Erkintalo³

et al. 2021

Preprint

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Section: Discussionmentioning

confidence: 99%

Bloch Oscillations of Driven Dissipative Solitons in a Synthetic Dimension

Englebert¹,

Goldman²,

Erkintalo³

et al. 2021

Preprint

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“…4(c)] 41 . As a widely different platform but still built from optical fiber loops, time-multiplexed resonator networks supporting synthetic time dimensions encoded in short pulses [110][111][112][113][114][115][116] provides another platform to explore effective gauge fields and topological photonics [117][118][119] . The complex connectivity between pulses with different arrival times can be controlled by modulators in additional fiber loops.…”

Section: A Topological Photonics In Synthetic Dimensionsmentioning

confidence: 99%

“…A topological response in such a 2D lattice has been measured [Fig. 4(d) ] 119 , with significant prospects for extensions to much higherdimensional lattices. Besides the quantum Hall effect with an effective magnetic flux in 2D square lattice, various topological phases with different dimensionalities have been explored using photonic synthetic dimensions.…”

Section: A Topological Photonics In Synthetic Dimensionsmentioning

confidence: 99%

Synthetic frequency dimensions in dynamically modulated ring resonators

2021

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The concept of synthetic dimensions in photonics has attracted rapidly growing interest in the past few years. Among a variety of photonic systems, the ring resonator system under dynamic modulation has been investigated in depth both in theory and experiment and has proven to be a powerful way to build synthetic frequency dimensions. In this Tutorial, we start with a pedagogical introduction to the theoretical approaches in describing the dynamically modulated ring resonator system and then review experimental methods in building such a system. Moreover, we discuss important physical phenomena in synthetic dimensions, including nontrivial topological physics. This Tutorial provides a pathway toward studying the dynamically modulated ring resonator system and understanding synthetic dimensions in photonics and discusses future prospects for both fundamental research and practical applications using synthetic dimensions.

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“…Nanoscale OPOs can also be a promising route to realize the same [38]. Alternatively, one can exploit synthetic dimensions to construct a lattice of OPOs in time/ frequency domain [39,40]. Future work includes investigating the interplay of topology and nonlinearity in driven-dissipative non-equilibrium systems and its impact on emergent phenomena such as phase transitions [41,42].…”

Section: B Quantum Regimementioning

confidence: 99%

Topological Optical Parametric Oscillation

Roy¹,

Parto²,

Nehra³

et al. 2021

Preprint

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Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in non-equilibrium scenarios is highly desirable and has led to the development of topological lasers. The topologically protected boundary states usually lie within the bulk bandgap, and selectively exciting them without inducing instability in the bulk modes of bosonic systems is challenging. Here, we consider topological parametrically driven nonlinear resonator arrays that possess complex eigenvalues only in the edge modes in spite of the uniform pumping. We show parametric oscillation occurs in the topological boundary modes of one and two dimensional systems as well as in the corner modes of a higher order topological insulator system. Furthermore, we demonstrate squeezing dynamics below the oscillation threshold, where the quantum properties of the topological edge modes are robust against certain disorders. Our work sheds light on the dynamics of weakly nonlinear topological systems driven out-of-equilibrium and reveals their intriguing behavior in the quantum regime.

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Topological Dissipation in a Time-Multiplexed Photonic Resonator Network

Cited by 10 publications

References 12 publications

Bloch Oscillations of Driven Dissipative Solitons in a Synthetic Dimension

Bloch Oscillations of Driven Dissipative Solitons in a Synthetic Dimension

Synthetic frequency dimensions in dynamically modulated ring resonators

Topological Optical Parametric Oscillation

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