Length scales in the many-body localized phase and their spectral signatures
Phys. Rev. B 100, 115136
Read PaperAbout Me
I am a theoretical physicist working at the interface of quantum many-body physics, non‑equilibrium statistical mechanics, quantum information and post quantum cryptography. I build analytical models and high‑performance simulations to study complex systems. Recently, I’ve been developing efficient hardware‑oriented implementations of Shor’s algorithm for ECC (ECDLP) and exploring quantum error correction and post‑quantum security.
Research
My work uncovers emergent transport phenomena in kinetically constrained and non-linear systems, including non‑perturbative diffusion cascades and jamming transitions. Recently I have been interested in the intersection of many‑body physics and quantum error correction (QEC) (quantum LDPC codes, tensor‑network constructions) and separately in quantum cryptanalysis and PQC.
Research Timeline
2025 — Quantum Cryptanalysis & Shor’s Algorithm for ECC
Hardware‑efficient ECDLP circuits in Qiskit: ECC group ops, scalar multiplication, and QFT‑based period finding; Classical post‑processing.
2024 — Jamming in Kinetically Constrained Models
Triangular‑ladder model with coexisting diffusive and jammed phases; classical–quantum mapping and Hartree–Fock analysis of quasiparticles.
2023 — Nonlinear Diffusion & Hydrodynamic Cascades
Identified stretched‑exponential relaxation via diffusion cascades; large‑scale numerical simulations and stochastic field theory.
2021 — Plaquette Ising Model & Dualities
Phase structure under transverse fields; mapping to Quantum Compass model; DMRG and ML‑assisted wavefunction approximations.
2018 — Many‑Body Localization & Quenches
Localization length distributions, interferometric probes, and integrability diagnostics in disordered spin chains.
Publications
Diffusion cascade in a model of interacting random walkers
arXiv:2412.05222
Read PaperA kinetically constrained model exhibiting non-linear diffusion and jamming
J. Stat. Mech. (2025) 073208
Read PaperHighlighted Projects
Quantum Attack on Elliptic Curve Cryptography
Qiskit implementation of Shor’s ECDLP with ECC group ops, QFT, and Classical post‑processing.
View on GitHubNonlinear Diffusion Simulations
GPU‑accelerated lattice‑gas simulations to study hydrodynamic cascades and jamming.
View on GitHubIntegrability in Quantum Systems
Distinguishing Integrable and Non Integrable Systems using Quantum Quenches.
View on GitHubQuantum Machine Learning Experiments
Hybrid QML algorithms combining Qiskit and PyTorch for kernel estimation and VQCs.
View on GitHubRAG Application
LLM-based application for document summarization and inference.
View on GitHubPlaquette Ising
Phase transitions and duality in Plaquette Ising Model.
View on GitHubNews & Updates
- Dec 2025: Joined Department of Computer Science at Stony Brook University as Postdoctoral Associate.
- Nov 2025: Building hardware‑oriented circuits for Shor’s ECDLP; integrating QFT and Classical post‑processing.
- Sep 2025: Defended Phd in Physics, Thesis: Nonlinear Diffusion, Hydrodynamic Cascades and Jamming in Kinetically Constrained Systems: Insights from Lattice Gas Models.
- Jul 2025: J. Stat. Mech. paper on Non‑linear diffusion & jamming published.
- Dec 2024: Preprint on Diffusion cascades in interacting random walkers posted to arXiv.
- Mar 2023: APS March Meeting talk: Non-linear Diffusion processes and hydrodynamic cascades in lattice gas models.
- Jan 2019: PRB paper on: Length scales in the many-body localized phase and their spectral signatures published.
- Aug 2018: Joined Phd program in Physics at The Graduate Center, CUNY.
Curriculum Vitae
You can download my full CV below.
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