arXiv subjects

Adam Thorpe

Publications and source records attributed to Adam Thorpe.

7 recordsLinked to original sources

arXiv2025

Zero-Shot Function Encoder-Based Differentiable Predictive Control

We introduce a differentiable framework for zero-shot adaptive control over parametric families of nonlinear dynamical systems. Our approach integrates a function encoder-based neural ODE (FE-NODE) for modeling system dynamics with a differentiable predictive control (DPC) for offline self-supervised learning of explicit control policies. The FE-NODE captures nonlinear behaviors in state transitions and enables zero-shot adaptation to new systems without retraining, while the DPC efficiently learns control policies across system parameterizations, thus eliminating costly online optimization common in classical model predictive control. We demonstrate the efficiency, accuracy, and online adaptability of the proposed method across a range of nonlinear systems with varying parametric scenarios, highlighting its potential as a general-purpose tool for fast zero-shot adaptive control.

eess.SY↗

arXiv2025

Quantum Dial for High-Harmonic Generation

High-harmonic generation (HHG) is a highly nonlinear optical process that typically requires an intense laser to trigger emissions at integer multiples of the driving field frequency. However, the strong fields required for conventional HHG inevitably perturb the system, limiting its use as a nondestructive spectroscopic probe. Recent advances in bright squeezed vacuum (BSV) sources have created opportunities to drive HHG with quantum fields alone. In this work, we demonstrate a regime in which the light-matter interactions can be controlled and tuned using a weak classical field, whose pulse energy is two orders of magnitude lower than that in standard HHG-perturbed by an even weaker quantum field such as BSV. This approach opens new avenues for nonlinear spectroscopy of materials while substantially suppressing strong laser-induced damage, distortions, and heating. We show that a BSV pulse containing less than 5% of the classical driving energy can act as an 'optical dial', allowing tuning of the nonlinear emission spectrum, emission angular dependence, and ionization.

physics.optics↗

arXiv2025

A unified perspective of high-harmonic generation in gases and solids

We present a quantum optical generalization of the quantum-matter Lewenstein model of high-harmonic generation (HHG) in gases that contains two channels corresponding to the inter- and intraband HHG in solids. Both channels can be presented as a semiclassical current multiplied by the vacuum field strength, resulting in a quantitative correction and a faster roll-off of the harmonic power with order than in previous theories. In gases, like in solids, intraband HHG dominates at low orders; the switchover harmonic corresponds to a specific photon energy, independent of pump wavelength.

physics.atom-ph↗

arXiv2025

Quantum engineering of high harmonic generation

In quantum sideband high harmonic generation (QSHHG), high harmonic generation is perturbed by a bright quantum field resulting in harmonic sidebands, with the intent to transfer non-classical properties from the quantum perturbation to the harmonic sidebands. So far, non-classical features have not been found in QSHHG yet. The closed form theory of QSHHG in atoms and solids developed here answers the question under which conditions non-classical features can be realized. QSHHG results in a multi-mode entanglement between harmonic sideband modes and perturbative quantum mode. A projective measurement on either creates a variety of non-classical states commonly used in quantum information science. This opens a pathway towards quantum engineering high harmonic generation as a short wavelength source for quantum information science.

quant-ph↗

arXiv2025

Strong field physics in open quantum systems

Dephasing is the loss of phase coherence due to the interaction of an electron with the environment. The most common approach to model dephasing in light-matter interaction is the relaxation time approximation. Surprisingly, its use in intense laser physics results in a pronounced failure, because ionization {is highly overestimated.} Here, this shortcoming is corrected by developing a strong field model in which the many-body environment is represented by a heat bath. Our model reveals that ionization enhancement and suppression by several orders of magnitude are still possible, however only in more extreme parameter regimes. Our approach allows the integration of many-body physics into intense laser dynamics with minimal computational and mathematical complexity, thus facilitating the identification of novel effects in strong-field physics and attosecond {science}.

physics.optics↗

arXiv2023

Symbolic Regression on Sparse and Noisy Data with Gaussian Processes

In this paper, we address the challenge of deriving dynamical models from sparse and noisy data. High-quality data is crucial for symbolic regression algorithms; limited and noisy data can present modeling challenges. To overcome this, we combine Gaussian process regression with a sparse identification of nonlinear dynamics (SINDy) method to denoise the data and identify nonlinear dynamical equations. Our approach GPSINDy offers improved robustness with sparse, noisy data compared to SINDy alone. We demonstrate its effectiveness on simulation data from Lotka-Volterra and unicycle models and hardware data from an NVIDIA JetRacer system. We show superior performance over baselines including more than 50% improvement over SINDy and other baselines in predicting future trajectories from noise-corrupted and sparse 5 Hz data.

cs.LG↗

arXiv2020

Wannier quasi-classical approach to high harmonic generation in semiconductors

We develop a quasi-classical theory of high harmonic generation in semiconductors based on an interband current that has been transformed from Bloch to Wannier basis. The Wannier quasi-classical approach reveals a complete picture of the mechanisms shaping high harmonic generation, such that quantitative agreement with full quantum calculations is obtained. The intuitive picture revealed by quasi-classical wavepacket propagation will be helpful in the interpretation and design of high harmonic and attosecond experiments. Beyond that, the capacity to quantitatively model quantum dynamics with classical trajectories should prove useful for a wider spectrum of condensed matter research, including coherent control, transport theory, and strong field physics.

cond-mat.mes-hall↗