Spontaneous symmetry breaking, oscillations, and chaotic regimes in bidirectionally-pumped ring resonators

Michael T. M. Woodley; Jonathan M. Silver; Lewis Hill; François Copie; Leonardo Del Bino; Shuangyou Zhang; Gian-Luca Oppo; Pascal Del'Haye

Spontaneous symmetry breaking, oscillations, and chaotic regimes in bidirectionally-pumped ring resonators

Michael T. M. Woodley, Jonathan M. Silver, Lewis Hill, François Copie, Leonardo Del Bino, Shuangyou Zhang, Gian-Luca Oppo, Pascal Del'Haye

School of Engineering & Physical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Spontaneous symmetry breaking has been recently demonstrated experimentally in bidirectionally-pumped dielectric microresonators [1,2]. This process is mediated by cross-phase modulation due to the Kerr nonlinearity. We present comprehensive analytical and dynamical models for this symmetry breaking, with novel results in both time-dependent and time-independent cases, including chaos. The time-dependent system is described by the following pair of dimensionless coupled equations: (Equation presented) wherein ē_1,2 are the (clockwise or counterclockwise) electric field amplitudes sent to the cavity, e_1,2 are the (clockwise or counterclockwise) electric field amplitudes coupled into the cavity, and ∆ is the normalised detuning of the laser with respect to the non-Kerr-shifted cavity resonant frequency.

Original language	English
Title of host publication	European Quantum Electronics Conference 2019
Publisher	OSA Publishing
ISBN (Electronic)	9781557528209
Publication status	Published - 23 Jun 2019
Event	European Quantum Electronics Conference 2019 - Munich, Germany Duration: 23 Jun 2019 → 27 Jun 2019

Conference

Conference	European Quantum Electronics Conference 2019
Abbreviated title	EQEC 2019
Country/Territory	Germany
City	Munich
Period	23/06/19 → 27/06/19

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Mechanics of Materials

Cite this

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title = "Spontaneous symmetry breaking, oscillations, and chaotic regimes in bidirectionally-pumped ring resonators",

abstract = "Spontaneous symmetry breaking has been recently demonstrated experimentally in bidirectionally-pumped dielectric microresonators [1,2]. This process is mediated by cross-phase modulation due to the Kerr nonlinearity. We present comprehensive analytical and dynamical models for this symmetry breaking, with novel results in both time-dependent and time-independent cases, including chaos. The time-dependent system is described by the following pair of dimensionless coupled equations: (Equation presented) wherein ē1,2 are the (clockwise or counterclockwise) electric field amplitudes sent to the cavity, e1,2 are the (clockwise or counterclockwise) electric field amplitudes coupled into the cavity, and ∆ is the normalised detuning of the laser with respect to the non-Kerr-shifted cavity resonant frequency.",

author = "Woodley, {Michael T. M.} and Silver, {Jonathan M.} and Lewis Hill and Fran{\c c}ois Copie and {Del Bino}, Leonardo and Shuangyou Zhang and Gian-Luca Oppo and Pascal Del'Haye",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE; European Quantum Electronics Conference 2019, EQEC 2019 ; Conference date: 23-06-2019 Through 27-06-2019",

year = "2019",

month = jun,

day = "23",

language = "English",

booktitle = "European Quantum Electronics Conference 2019",

publisher = "OSA Publishing",

address = "United States",

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TY - GEN

T1 - Spontaneous symmetry breaking, oscillations, and chaotic regimes in bidirectionally-pumped ring resonators

AU - Woodley, Michael T. M.

AU - Silver, Jonathan M.

AU - Hill, Lewis

AU - Copie, François

AU - Del Bino, Leonardo

AU - Zhang, Shuangyou

AU - Oppo, Gian-Luca

AU - Del'Haye, Pascal

PY - 2019/6/23

Y1 - 2019/6/23

N2 - Spontaneous symmetry breaking has been recently demonstrated experimentally in bidirectionally-pumped dielectric microresonators [1,2]. This process is mediated by cross-phase modulation due to the Kerr nonlinearity. We present comprehensive analytical and dynamical models for this symmetry breaking, with novel results in both time-dependent and time-independent cases, including chaos. The time-dependent system is described by the following pair of dimensionless coupled equations: (Equation presented) wherein ē1,2 are the (clockwise or counterclockwise) electric field amplitudes sent to the cavity, e1,2 are the (clockwise or counterclockwise) electric field amplitudes coupled into the cavity, and ∆ is the normalised detuning of the laser with respect to the non-Kerr-shifted cavity resonant frequency.

AB - Spontaneous symmetry breaking has been recently demonstrated experimentally in bidirectionally-pumped dielectric microresonators [1,2]. This process is mediated by cross-phase modulation due to the Kerr nonlinearity. We present comprehensive analytical and dynamical models for this symmetry breaking, with novel results in both time-dependent and time-independent cases, including chaos. The time-dependent system is described by the following pair of dimensionless coupled equations: (Equation presented) wherein ē1,2 are the (clockwise or counterclockwise) electric field amplitudes sent to the cavity, e1,2 are the (clockwise or counterclockwise) electric field amplitudes coupled into the cavity, and ∆ is the normalised detuning of the laser with respect to the non-Kerr-shifted cavity resonant frequency.

UR - http://www.scopus.com/inward/record.url?scp=85084596059&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85084596059

BT - European Quantum Electronics Conference 2019

PB - OSA Publishing

T2 - European Quantum Electronics Conference 2019

Y2 - 23 June 2019 through 27 June 2019

ER -

Spontaneous symmetry breaking, oscillations, and chaotic regimes in bidirectionally-pumped ring resonators

Abstract

Conference

ASJC Scopus subject areas

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