Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics Letters

Berry's phase amplification by a ring resonator

Ilya Golub

Published Oct 26, 2006• 8 citations
Publisher

Abstract

It is shown that, similar to resonant enhancement of linear phase, birefringent phase, and chirality/optical activity by a ring resonator (RR), Berry's phase, or the geometrical phase, can be amplified by repeatedly passing light through a Berry's phase-generating element placed in a RR. Small-signal amplification of Berry's phase is equal to the resonator finesse F. This amplification can be exploited when Berry's phase is used for performing quantum computation or in fiber-optic and other sensors.

DOI
10.1364/ol.31.003342

Related papers

Low Threshold Optical Bistability and Differential Amplification using a Fiber Amplifier in a Nonlinear Ring Resonator

Miguel A. Muriel, Francisco Javier Fraile-Pelaez, J. Capmany

Optical fiber ring resonators using directional couplers as signal tapping elements are called to play an important role in the future all-optical communication and sensor networks. The possibility of obtaining a wide range of strutures capable of performing wide-band signal processing operations in a guided-wave format has attracted the interest of several research groups. Initial effort focused on structures operating under linear regime showing and demonstrating potential applications as fiber sensors [1], all-fiber lasers [2], Fabry-Perot and Mach-Zehnder interferometers [3], [4], and optical filters for WDM and OFDM [5].

Nonlinear Optics•Jan 1, 1992•0 citations

Berry Phase and Adiabatic Breakdown in Optical Modulator

Eyal Buks

We consider an all in-fiber optical modulator based on a ring resonator configuration. The case of adiabatic to nonadiabatic transition is considered, where the geometrical (Berry) phase acquired in a round trip along the ring changes abruptly by pi. Degradation of the responsivity of the modulator due to finite linewidth of the optical input is discussed. We show that the responsivity of the proposed modulator can be significantly enhanced with optimum design and compare with other configurations.

arXiv:quant-ph/0412198•Dec 26, 2004•0 citations

Bistability and other effects in a nonlinear fiber-optic ring resonator

Robert M. Shelby, M. D. Levenson, Stephen H. Perlmutter

Dispersive optical bistability with a threshold cw input power of approximately 10 mW has been observed in a single-mode fiber-optic ring resonator. Light is coupled in and out of the resonator by a single-mode-fiber variable directional coupler. A fiber-optic Faraday isolator is incorporated into the ring, thus increasing the threshold for stimulated Brillouin oscillation by a factor of 100 and permitting other weaker nonlinear effects such as bistability to be observed. Phase-sensitive amplification and deamplification (squeezing) of classical time-stationary noise is demonstrated and shown to be in agreement with the theory of squeezed-state generation in such a nonlinear fiber ring resonator. Light scattering by elastic eigenmodes of the fiber (guided-acoustic-wave Brillouin scattering, GAWBS) adds noise to light circulating in the resonator and obscures the observation of squeezed quantum fluctuations. The properties of this GAWBS scattering are investigated and compared with theory.

Journal of the Optical Society of America B•Feb 1, 1988•31 citations

Tunable linear-optical phase amplification

Christopher R. Schwarze, David S. Simon, Abdoulaye Ndao +1 more

We combine lossless, phase-only transformations with fully transmitting linear-optical scatterers to define the principle of linear-optical phase amplification. This enables a physical phase shift $\ensuremath{\phi}$ to be nonlinearly mapped to a new space $\ensuremath{\gamma}(\ensuremath{\phi})$ using linear optics, resulting in a completely general and enhanced phase shifter that can replace any standard one. A particular phase amplifier is experimentally realized, allowing the phase enhancement parameter $d\ensuremath{\gamma}/d\ensuremath{\phi}$ to be continuously tuned. Placing this enhanced phase shifter in one arm of a Mach-Zehnder interferometer led to an intensity-phase slope more than 20 times steeper than what can be obtained with its unamplified counterpart.

arXiv:2405.03868•Physical Review A•May 6, 2024•2 citations

Fiber ring resonator with a nanofiber section for chiral cavity quantum electrodynamics and multimode strong coupling

Philipp Schneeweiß, Sophie Zeiger, Thomas Hoinkes +2 more

We experimentally realize an optical fiber ring resonator that includes a tapered section with a subwavelength-diameter waist. In this section, the guided light exhibits a significant evanescent field which allows for efficient interfacing with optical emitters. A commercial tunable fiber beam splitter provides simple and robust coupling to the resonator. Key parameters of the resonator such as the out-coupling rate, free spectral range, and birefringence can be adjusted. Thanks to the low taper- and coupling-losses, the resonator exhibits an unloaded finesse of F=75±1, sufficient for reaching the regime of strong coupling for emitters placed in the evanescent field. The system is ideally suited for trapping ensembles of laser-cooled atoms along the nanofiber section. Based on measured parameters, we estimate that the system can serve as a platform for optical multimode strong coupling experiments. Finally, we discuss the possibilities of using the resonator for applications based on chiral quantum optics.

arXiv:1611.01454•Optics Letters•Dec 20, 2016•49 citations

Interferometric demonstration of the Berry's Phase

Ricardo Téllez-Limón, Carlos Ignacio Robledo-Sánchez

The present paper shows an optical interferometer which operates only in the geometric phase, or Berry's phase. In this system, the optical paths traversed by the two beams of light are always the same, and the difference in their phases can be varied by manipulating this geometrical phase. We also make a comparison of the interference pattern produced experimentally in the laboratory, and another one produced by a computer program.

•Nov 1, 2009•0 citations
It is shown that, similar to resonant enhancement of linear phase, birefringent phase, and chirality/optical activity by a ring resonator (RR), Berry's phase, or the geometrical phase, can be amplified by repeatedly passing light through a Berry's phase-generating element placed in a RR. Small-signal amplification of Berry's phase is equal to the resonator finesse F. This amplification can be exploited when Berry's phase is used for performing quantum computation or in fiber-optic and other sensors.
Optical fiber ring resonators using directional couplers as signal tapping elements are called to play an important role in the future all-optical communication and sensor networks. The possibility of obtaining a wide range of strutures capable of performing wide-band signal processing operations in a guided-wave format has attracted the interest of several research groups. Initial effort focused on structures operating under linear regime showing and demonstrating potential applications as fiber sensors [1], all-fiber lasers [2], Fabry-Perot and Mach-Zehnder interferometers [3], [4], and optical filters for WDM and OFDM [5].
We consider an all in-fiber optical modulator based on a ring resonator configuration. The case of adiabatic to nonadiabatic transition is considered, where the geometrical (Berry) phase acquired in a round trip along the ring changes abruptly by pi. Degradation of the responsivity of the modulator due to finite linewidth of the optical input is discussed. We show that the responsivity of the proposed modulator can be significantly enhanced with optimum design and compare with other configurations.
Dispersive optical bistability with a threshold cw input power of approximately 10 mW has been observed in a single-mode fiber-optic ring resonator. Light is coupled in and out of the resonator by a single-mode-fiber variable directional coupler. A fiber-optic Faraday isolator is incorporated into the ring, thus increasing the threshold for stimulated Brillouin oscillation by a factor of 100 and permitting other weaker nonlinear effects such as bistability to be observed. Phase-sensitive amplification and deamplification (squeezing) of classical time-stationary noise is demonstrated and shown to be in agreement with the theory of squeezed-state generation in such a nonlinear fiber ring resonator. Light scattering by elastic eigenmodes of the fiber (guided-acoustic-wave Brillouin scattering, GAWBS) adds noise to light circulating in the resonator and obscures the observation of squeezed quantum fluctuations. The properties of this GAWBS scattering are investigated and compared with theory.
We combine lossless, phase-only transformations with fully transmitting linear-optical scatterers to define the principle of linear-optical phase amplification. This enables a physical phase shift $\ensuremath{\phi}$ to be nonlinearly mapped to a new space $\ensuremath{\gamma}(\ensuremath{\phi})$ using linear optics, resulting in a completely general and enhanced phase shifter that can replace any standard one. A particular phase amplifier is experimentally realized, allowing the phase enhancement parameter $d\ensuremath{\gamma}/d\ensuremath{\phi}$ to be continuously tuned. Placing this enhanced phase shifter in one arm of a Mach-Zehnder interferometer led to an intensity-phase slope more than 20 times steeper than what can be obtained with its unamplified counterpart.
We experimentally realize an optical fiber ring resonator that includes a tapered section with a subwavelength-diameter waist. In this section, the guided light exhibits a significant evanescent field which allows for efficient interfacing with optical emitters. A commercial tunable fiber beam splitter provides simple and robust coupling to the resonator. Key parameters of the resonator such as the out-coupling rate, free spectral range, and birefringence can be adjusted. Thanks to the low taper- and coupling-losses, the resonator exhibits an unloaded finesse of F=75±1, sufficient for reaching the regime of strong coupling for emitters placed in the evanescent field. The system is ideally suited for trapping ensembles of laser-cooled atoms along the nanofiber section. Based on measured parameters, we estimate that the system can serve as a platform for optical multimode strong coupling experiments. Finally, we discuss the possibilities of using the resonator for applications based on chiral quantum optics.