Publications related to Toda lattice

Integrated turnkey soliton microcombs operated at CMOS frequencies

Tobias Kippenberg, Rui Ning Wang, Junqiu Liu, Jijun He, Tianyi Liu, Chao Xiang

We experimentally discovered and theoretically explain a novel turnkey regime for operation of soliton microcombs, wherein a new operating point enables the direct access of the soliton state by simple turn-on of the pump laser. (C) 2020 The Author(s) ...

IEEE2020

Dynamics of soliton crystals in optical microresonators

Tobias Kippenberg, Junqiu Liu, Maxim Karpov, Hairun Guo, Martin Hubert Peter Pfeiffer, Wenle Weng

Dissipative Kerr solitons in optical microresonators combine nonlinear optical physics with photonic-integrated technologies. They are promising for a number of applications ranging from optical coherent communications to astrophysical spectrometer calibra ...

NATURE PUBLISHING GROUP2019

Convergence To Stratified Flow For An Inviscid 3D Boussinesq System

Klaus Martin Widmayer

We study the stability of special, stratified solutions of a 3D Boussinesq system describing an incompressible, inviscid 3D fluid with variable density (or temperature, depending on the context) under the effect of a uni-directional gravitational force. Th ...

INT PRESS BOSTON, INC2018

Ultralow-power chip-based soliton microcombs for photonic integration

Tobias Kippenberg, Michail Zervas, Bahareh Ghadiani, Junqiu Liu, Maxim Karpov, Hairun Guo, Martin Hubert Peter Pfeiffer, Arslan Sajid Raja, Nils Johan Engelsen, Botao Du

The generation of dissipative Kerr solitons in optical microresonators has provided a route to compact frequency combs of high repetition rate, which have already been employed for optical frequency synthesizers, ultrafast ranging, coherent telecommunicati ...

OPTICAL SOC AMER2018

The Geometric Nature of the Flaschka Transformation

Tudor Ratiu, François Gay-Balmaz

We show that the Flaschka map, originally introduced to analyze the dynamics of the integrable Toda lattice system, is the inverse of a momentum map. We discuss the geometrical setting of the map and apply it to the generalized Toda lattice systems on semi ...

Springer Verlag2017

Intermode Breather Solitons in Optical Microresonators

Tobias Kippenberg, Michael Wolfgang Geiselmann, Junqiu Liu, Maxim Karpov, Hairun Guo, Martin Hubert Peter Pfeiffer, Erwan Guillaume Albert Lucas, Miles Henry Anderson, John David Jost

Dissipative solitons can be found in a variety of systems resulting from the double balance between dispersion and nonlinearity, as well as gain and loss. Recently, they have been observed to spontaneously form in Kerr nonlinear microresonators driven by a ...

2017

Universal dynamics and deterministic switching of dissipative Kerr solitons in optical microresonators

Tobias Kippenberg, Victor Brasch, Maxim Karpov, Hairun Guo, Martin Hubert Peter Pfeiffer, Erwan Guillaume Albert Lucas, Arne Kordts

Temporal dissipative Kerr solitons in optical microresonators enable the generation of ultrashort pulses and low-noise frequency combs at microwave repetition rates. They have been demonstrated in a growing number of microresonator platforms, enabling chip ...

Nature Publishing Group2016

Bringing short-lived dissipative Kerr soliton states in microresonators into a steady state

Tobias Kippenberg, Victor Brasch, Michael Wolfgang Geiselmann, Martin Hubert Peter Pfeiffer

Dissipative Kerr solitons have recently been generated in optical microresonators, enabling ultrashort optical pulses at microwave repetition rates, that constitute coherent and numerically predictable Kerr frequency combs. However, the seeding and excitat ...

Optical Society of America2016

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Toda lattice

MATHICSE Technical Report : Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification

Integrated turnkey soliton microcombs operated at CMOS frequencies

Dynamics of soliton crystals in optical microresonators

Convergence To Stratified Flow For An Inviscid 3D Boussinesq System

Ultralow-power chip-based soliton microcombs for photonic integration

The Geometric Nature of the Flaschka Transformation

Intermode Breather Solitons in Optical Microresonators

Universal dynamics and deterministic switching of dissipative Kerr solitons in optical microresonators

Bringing short-lived dissipative Kerr soliton states in microresonators into a steady state

Lattice Representations of the Virasoro Algebra I : Discrete Gaussian Free Field

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Convergence To Stratified Flow For An Inviscid 3D Boussinesq System

The Geometric Nature of the Flaschka Transformation

Lattice Representations of the Virasoro Algebra I : Discrete Gaussian Free Field

Integrated turnkey soliton microcombs operated at CMOS frequencies

Dynamics of soliton crystals in optical microresonators

Bringing short-lived dissipative Kerr soliton states in microresonators into a steady state

Intermode Breather Solitons in Optical Microresonators

Universal dynamics and deterministic switching of dissipative Kerr solitons in optical microresonators

MATHICSE Technical Report : Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification

Ultralow-power chip-based soliton microcombs for photonic integration