arXiv subjects

S. R. K. Rodriguez

Publications and source records attributed to S. R. K. Rodriguez.

At least 19 recordsLinked to original sources

arXiv2026

Ghost State of Light

We report the observation of a long-lived non-stationary state of light in a single-mode optical cavity. The observed state is a ghost of a saddle-node bifurcation which creates a bottleneck in phase space. While such ghosts are known to exist, accessing them is challenging because it requires a mechanism that steers the relaxation pathway away from the true attractor and into the bottleneck where the ghost emerges. Here we identify such a mechanism, namely a nonlinear response with memory. Our experimental system leverages this mechanism, enabling us to observe ghost states with lifetimes exceeding the cavity photon lifetime by more than ten orders of magnitude, even in the presence of strong fluctuations. The ghost manifests as a plateau in the relaxation dynamics of the cavity transmission, reminiscent of prethermalization. We show how the ghost lifetime depends on the memory time and the distance to the bifurcation, and we observe signatures of scaling in the distribution of ghost lifetimes at fixed driving conditions. Our work establishes minimal conditions for realizing parametrically long-lived non-stationary states.

physics.optics↗

arXiv2025

Timekeeping precision enhancements at constant power

We demonstrate precision enhancements in a timekeeping device at constant power and regardless of the operation frequency. Our timekeeping device is a laser-driven coupled-cavity system sustaining limit cycles. We quantify the precision of this device via the standard deviation of the limit cycle period, and demonstrate how it changes when varying the cavity length at constant laser power. Through a phase space analysis of the limit cycle fluctuations, we reveal how the proximity of different bifurcations determines the timekeeping precision of our device regardless of the input power and oscillation frequency. We expect that, as the miniaturization of computer clocks demands greater energy efficiency in the presence of strong fluctuations, our results can pave the way towards maximizing the precision of such clocks.

physics.optics↗

arXiv2024

Continuous-Wave Nonlinear Polarization Control and Signatures of Criticality in a Perovskite Cavity

Halide perovskites have emerged as promising photonic materials for fundamental physics studies and technological applications. Their potential for nonlinear optics has also drawn great interest recently; yet, to date, continuous-wave (CW) nonlinearities have remained elusive. Here we demonstrate CW nonlinear phenomena in a CsPbBr$_3$ perovskite cavity. We first demonstrate optical bistability -- the hallmark of single-mode coherent nonlinear optics. Next we exploit the interplay of nonlinearity and birefringence to demonstrate nonlinear control over the polarization of light. Finally, by measuring the optical hysteresis of our cavity as a function of temperature, we find a dramatic enhancement of the nonlinearity around 65 K. This enhancement is indicative of a phase transition in CsPbBr$_3$. Our results position CsPbBr$_3$ cavities as an exceptional platform for nonlinear optics, offering strong CW nonlinearity and birefringence which are furthermore tunable. In addition, our approach to uncover a phase transition of matter via optical hysteresis measurements is promising for exploring strongly correlated states of light-matter systems.

physics.optics↗

arXiv2024

Weak Ergodicity Breaking in Optical Sensing

The time-integrated intensity transmitted by a laser driven resonator obeys Lévy's arcsine laws [Ramesh \textit{et al.}, Phys. Rev. Lett. \textit{in press} (2024)]. Here we demonstrate the implications of these laws for optical sensing. We consider the standard goal of resonant optical sensors, namely to report a perturbation to their resonance frequency. In this context, we quantify the sensing precision attained using a finite energy budget combined with time or ensemble averaging of the time-integrated intensity. We find that ensemble averaging outperforms time averaging for short measurement times, but the advantage disappears as the measurement time increases. We explain this behavior in terms of weak ergodicity breaking, arising when the time for the time-integrated intensity to explore the entire phase space diverges but the measurement time remains finite. Evidence that the former time diverges is presented in first passage and return time distributions. Our results are relevant to all types of sensors, in optics and beyond, where stochastic time-integrated fields or intensities are measured to detect an event. In particular, choosing the right averaging strategy can improve sensing precision by orders of magnitude with zero energy cost.

physics.optics↗

arXiv2023

Spontaneous symmetry breaking in diffraction

The connection between symmetries and conservation laws is a cornerstone of physics. It underlies Bloch's theorem which explains wave phenomena in all linear periodic systems. Here we demonstrate that, in a nonlinear grating with memory, diffracted waves can spontaneously acquire momentum parallel to the lattice vector in quantities unconstrained by the grating period. In this breakdown of Bloch's theorem, which we also evidence in solutions to nonlinear Maxwell's equations, wave amplitudes no longer respect the discrete translation symmetry of the grating. Our findings reveal a rich phenomenology for waves in nonlinear periodic systems, and point to numerous opportunities for nonlinear lattices with broken symmetry in the context of imaging, sensing, and information processing in general.

physics.optics↗

arXiv2022

Arcsine Laws of Light

We demonstrate that light in a coherently driven resonator obeys Lévy's arcsine laws -- a cornerstone of extreme value statistics. This behavior emerges asymptotically in the time-integrated transmitted intensity, an important quantity which is measured by every photodetector. We furthermore demonstrate a universal algebraic convergence to the arcsine laws as the integration time increases, independent of the balance between conservative and non-conservative forces exerted on the light field. Through numerical simulations we verify that the arcsine laws are also obeyed by the light field quadratures, and in a Kerr nonlinear resonator supporting non-Gaussian states of light. Our results are relevant to fundamental studies and technological applications of coherently driven resonators (in e.g., optics, microwave photonics, and acoustics), which in turn open up perspectives for probing emergent statistical structure in new regimes and in systems with memory.

physics.optics↗

arXiv2021

Limit Cycles and Chaos Induced by a Nonlinearity with Memory

Inspired by the observation of a distributed time delay in the nonlinear response of an optical resonator, we investigate the effects of a similar delay on a noise-driven mechanical oscillator. For a delay time that is commensurate with the inverse dissipation rate, we find stable limit cycles. For longer delays, we discover a regime of chaotic dynamics associated with a double scroll attractor. We also analyze the effects of time delay on the spectrum and oscillation amplitude of the oscillator. Our results point to new opportunities for nonlinear energy harvesting, provided that a nonlinearity with distributed time delay can be implemented in mechanical systems.

physics.optics↗

arXiv2021

Spontaneous symmetry breaking in a coherently driven nanophotonic Bose-Hubbard dimer

We report on the first experimental observation of spontaneous mirror symmetry breaking (SSB) in coherently driven-dissipative coupled optical cavities. SSB is observed as the breaking of the spatial or mirror Z2 symmetry between two symmetrically pumped and evanescently coupled photonic crystal nanocavities, and manifests itself as random intensity localization in one of the two cavities. We show that, in a system featuring repulsive boson interactions (U > 0), the observation of a pure pitchfork bifurcation requires negative photon hopping energies (J < 0), which we have realized in our photonic crystal molecule. SSB is observed over a wide range of the two-dimensional parameter space of driving intensity and detuning, where we also find a region that exhibits bistable symmetric behavior. Our results pave the way for the experimental study of limit cycles and deterministic chaos arising from SSB, as well as the study of nonclassical photon correlations close to SSB transitions.

physics.optics↗

arXiv2021

Stochastic light in a cavity: A Brownian particle in a scalar potential?

The non-equilibrium dynamics of stochastic light in a coherently-driven nonlinear cavity resembles the equilibrium dynamics of a Brownian particle in a scalar potential. This resemblance has been known for decades, but the correspondence between the two systems has never been properly assessed. Here we demonstrate that this correspondence can be exact, approximate, or break down, depending on the cavity nonlinear response and driving frequency. For weak on-resonance driving, the nonlinearity vanishes and the correspondence is exact: The cavity dissipation and driving amplitude define a scalar potential, the noise variance defines an effective temperature, and the intra-cavity field satisfies Boltzmann statistics. For moderately strong non-resonant driving, the correspondence is approximate: We introduce a potential that approximately captures the nonlinear dynamics of the intra-cavity field, and we quantify the accuracy of this approximation via deviations from Boltzmann statistics. For very strong non-resonant driving, the correspondence breaks down: The intra-cavity field dynamics is governed by non-conservative forces which preclude a description based on a scalar potential only. We furthermore show that this breakdown is accompanied by a phase transition for the intra-cavity field fluctuations, reminiscent of a non-Hermitian phase transition. Our work establishes clear connections between optical and stochastic thermodynamic systems, and suggests that many fundamental results for overdamped Langevin oscillators may be used to understand and improve resonant optical technologies.

physics.optics↗

arXiv2021

Exceptional precision of a nonlinear optical sensor at a square-root singularity

Exceptional points (EPs) -- spectral singularities of non-Hermitian linear systems -- have recently attracted great interest for sensing. While initial proposals and experiments focused on enhanced sensitivities neglecting noise, subsequent studies revealed issues with EP sensors in noisy environments. Here we propose a single-mode Kerr-nonlinear resonator for exceptional sensing in noisy environments. Based on the resonator's dynamic hysteresis, we define a signal that displays a square-root singularity akin to an EP. In contrast to EP sensors, our sensor has a signal-to-noise ratio that increases with the measurement speed, and a precision enhanced at the square-root singularity. Remarkably, averaging the signal can quickly enhance and then degrade the precision. These unconventional features open up new opportunities for fast and precise sensing beyond the constraints of linear systems. While we focus on optical sensing, our approach can be extended to other hysteretic systems.

physics.optics↗

arXiv2020

Steady-state superfluidity of light in a tunable cavity at room temperature

Light in a nonlinear cavity is expected to flow without friction -- like a superfluid -- under certain conditions. Until now, part-light part-matter (i.e., polariton) superfluids have been observed either at liquid helium temperatures in steady state, or at room temperature for sub-picosecond timescales. Here we report signatures of superfluid cavity photons (not polaritons) for the first time. When launching a photon fluid against a defect, we observe a suppression of backscattering above a critical intensity and below a critical velocity. Room-temperature and steady-state photon superfluidity emerges thanks to the strong thermo-optical nonlinearity of our oil-filled cavity. Numerical simulations qualitatively reproduce our experimental observations, and reveal how a viscous photon fluid reorganizes into a superfluid within the thermal relaxation time of the oil. Our results establish thermo-optical nonlinear cavities as platforms for probing photon superfluidity at room temperature, and offer perspectives for exploring superfluidity in arbitrary potential landscapes using structured mirrors.

physics.optics↗

arXiv2020

Non-Markovian Stochastic Resonance of Light in a Microcavity

We report the first observation of non-Markovian stochastic resonance, i.e., noise-assisted amplification of a periodic signal in a system with memory. Our system is an oil-filled optical microcavity which, driven by a continuous wave laser, has memory in its nonlinear optical response. By modulating the cavity length while adding noise to the driving laser, we observe a peak in the transmitted signal-to-noise ratio as a function of the noise variance. Our experimental observations are reproduced by numerical simulations, which further reveal that the stochastic resonance bandwidth is enlarged by the memory time of the nonlinearity. This frequency range available for noise-assisted amplification is $10^8$ times greater in our oil-filled cavity than in a Kerr nonlinear cavity. Our results pave the way for exploring the interplay of nonlinearity, noise, and memory, in oil-filled cavity arrays, where non-Markovian dynamics could enhance noise-assisted transport and synchronization effects.

physics.optics↗

arXiv2019

Parametric instability in coupled nonlinear microcavities

We report the observation of a parametric instability in the out-of-equilibrium steady state of two coupled Kerr microresonators coherently driven by a laser. Using a resonant excitation, we drive the system into an unstable regime, where we observe the appearance of intense and well resolved sideband modes in the emission spectrum. This feature is a characteristic signature of self-sustained oscillations of the intracavity field. We comprehensively model our findings using semiclassical Langevin equations for the cavity field dynamics combined with a linear stability analysis. The inherent scalability of our semiconductor platform, enriched with a strong Kerr nonlinearity, is promising for the realization of integrated optical parametric oscillator networks operating in a few-photon regime.

cond-mat.mes-hall↗

arXiv2019

Universal power law decay in the dynamic hysteresis of an optical cavity with non-instantaneous photon-photon interactions

We investigate, experimentally and theoretically, the dynamic optical hysteresis of a coherently driven cavity with non-instantaneous photon-photon interactions. By scanning the frequency detuning between the driving laser and the cavity resonance at different speeds across an optical bistability, we find a hysteresis area that is a non-monotonic function of the scanning speed. As the scanning speed increases and approaches the memory time of the photon-photon interactions, the hysteresis area decays following a power law with exponent -1. The exponent of this power law is independent of the system parameters. To reveal this universal scaling behavior theoretically, we introduce a memory kernel for the interaction term in the standard driven-dissipative Kerr model. Our results offer new perspectives for exploring non-Markovian dynamics of light using arrays of bistable cavities with low quality factors, driven by low laser powers, and at room temperature.

physics.optics↗

arXiv2018

Non-reciprocity and zero reflection in nonlinear cavities with tailored loss

We demonstrate how to tailor the losses of nonlinear cavities in order to suppress their reflection and enhance their non-reciprocal transmission. We derive analytical expressions predicting the existence of zero-reflection channels in single and coupled nonlinear cavities, depending on the driving frequency and loss rates. While suppressing the reflection from a single cavity imposes a stringent condition on the input-output leakage rates, we demonstrate that this condition can be significantly relaxed in systems of coupled cavities. In particular, zero-reflection and non-reciprocity can be achieved across a range of driving frequencies in coupled cavities by tuning the output leakage rate alone. Numerical calculations based on the driven-dissipative Gross-Pitaevksii equation, usually employed to describe microcavity polaritons, reveal the spatial phenomenology associated with zero-reflection states and provide design guidelines for the construction of nonlinear optical isolators.

physics.optics↗

arXiv2017

Probing a dissipative phase transition via dynamical optical hysteresis

We experimentally explore the dynamic optical hysteresis of a semiconductor microcavity as a function of the sweep time. The hysteresis area exhibits a double power law decay due to the shot noise of the driving laser, which triggers switching between metastable states. Upon increasing the average photon number and approaching the thermodynamic limit, the double power law evolves into a single power law. This algebraic behavior characterizes a dissipative phase transition. Our findings are in good agreement with theoretical predictions, and the present experimental approach is promising for the exploration of critical phenomena in photonic lattices.

physics.optics↗

arXiv2016

Interaction-induced hopping phase in driven-dissipative coupled photonic microcavities

Bosons hopping across sites and interacting on-site are the essence of the Bose-Hubbard model (BHM). Inspired by the success of BHM simulators with atoms in optical lattices, proposals for implementing the BHM with photons in coupled nonlinear cavities have emerged. Two coupled semiconductor microcavities constitute a model system where the hopping, interaction, and decay of exciton polaritons --- mixed light-matter quasiparticles --- can be engineered in combination with site-selective coherent driving to implement the driven-dissipative two-site optical BHM. Here we explore the interplay of interference and nonlinearity in this system, in a regime where three distinct density profiles can be observed under identical driving conditions. We demonstrate how the phase acquired by polaritons hopping between cavities can be controlled through effective polariton-polariton interactions. Our results open new perspectives for synthesizing density-dependent gauge fields for polaritons in two-dimensional multicavity systems.

physics.optics↗

arXiv2014

From weak to strong coupling of localized surface plasmons to guided modes in a luminescent slab

We investigate a periodic array of aluminum nanoantennas embedded in a light-emitting slab waveguide. By varying the waveguide thickness we demonstrate the transition from weak to strong coupling between localized surface plasmons in the nanoantennas and refractive index guided modes in the waveguide. We experimentally observe a non-trivial relationship between extinction and emission dispersion diagrams across the weak to strong coupling transition. These results have implications for a broad class of photonic structures where sources are embedded within coupled resonators. For nanoantenna arrays, strong vs. weak coupling leads to drastic modifications of radiation patterns without modifying the nanoantennas themselves, thereby representing an unprecedented design strategy for nanoscale light sources.

physics.optics↗