arXiv subjects

Hamidreza Oliaei-Moghadam

Publications and source records attributed to Hamidreza Oliaei-Moghadam.

3 recordsLinked to original sources

arXiv2026

The Market Crystal: A Spin-Lattice Model for Collective Cryptocurrency States

Collective dynamics in financial markets can emerge through synchronized movements of large groups of assets. Motivated by analogies with interacting many-body systems, we introduce a spin-lattice representation for analyzing collective states in cryptocurrency markets. In this framework, assets are encoded as binary spin variables according to the sign of their returns, while correlations between assets determine effective interaction strengths. A correlation-based breadth-first search (CBFS) procedure embeds 169 cryptocurrencies into a $13 \times 13$ lattice, enabling the construction of an Ising-like Hamiltonian describing the market configuration, which we call the \emph{Market Crystal}. Macroscopic observables such as magnetization and energy provide a statistical-mechanical characterization of collective market states. The resulting phase-space structure highlights regimes of strong alignment and fragmentation among assets, with an energy--magnetization pattern suggestive of predominantly ferromagnetic interactions. This framework offers a statistical-mechanical viewpoint for studying collective behavior in financial systems.

cond-mat.stat-mech↗

arXiv2025

Designing Illumination Patterns for Single-Pixel Imaging Using Lattice Models

Single-pixel imaging leverages a single-pixel detector and structured illumination patterns to reconstruct images, offering a cost-effective solution for imaging across a wide range of wavelengths, such as x-ray and terahertz. However, the technique faces challenges in efficiency due to the need for numerous patterns to achieve high-quality image reconstruction. In this study, we explore the use of spin lattice models from statistical mechanics to design illumination patterns for single-pixel imaging. By employing models like Ising, Potts, XY, and Heisenberg, we generate structured patterns that are adaptable for binary, grayscale, and color imaging. This work creates a direct connection between lattice models and imaging applications, providing a systematic approach to pattern generation that can enhance single-pixel imaging efficiency.

physics.optics↗

arXiv2022

Patterns for ghost imaging generated by the Ising model

We offer new illumination patterns for imaging in all-digital ghost imaging (GI) systems. The digital patterns, written as computer generated holograms on spatial light modulators (SLM), are generated by the Ising model, a well-known ferromagnetic model. In general, Ising patterns are affected by the system temperature and magnetic field. For a modest number of measurements in GI, our simulations suggest that low-temperature Ising patterns outperform random patterns. We also experimentally confirm that Ising masks can be used in quantum GI. Moreover, we present a strategy for applying Ising patterns of different temperatures to obtain high-quality images with the number of measurements approximately equal to the number of pixels in the image.

physics.optics↗