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MON: Monday Contributed Sessions

MON 23: Poster Session: Fundamental Aspects and Model Systems

MON 23.38: Poster

Monday, September 8, 2025, 18:30–20:30, ZHG Foyer 1. OG

Testing Nonlinear Quantum Theories with PHIP-Based Nuclear Spin Ensembles — •Xiaoyi Yang, Martin Korzeczek, and Martin B. Plenio — Ulm University, Institute of Theoretical Physics, Albert-Einstein-Allee 11, 89081 Ulm, Germany

We propose and analyze a quantum simulation of nonlinear quantum dynamics inspired by gravitational interaction models and a mathematical framework due to Weinberg, using parahydrogen-induced polarization (PHIP) NMR. The platform leverages hyperpolarized hydrogen and carbon-13 nuclei to realize an effective Hamiltonian incorporating both linear J-coupling and nonlinear mean-field self-interaction. Under specific initial conditions and symmetry constraints, the system reproduces the dynamics predicted by a nonlinear quantum gravity-inspired model. The resulting evolution exhibits Duffing-type behavior and transitions between dynamical topologies, with solutions described by Jacobi elliptic functions. Notably, the presence of controlled nonlinearity reveals an amplified sensitivity to small differences between quantum states, offering a potential mechanism for distinguishing nonorthogonal states within a closed quantum system. Our results highlight PHIP NMR as a viable experimental testbed for probing nonlinear extensions to quantum mechanics, with potential applications in quantum information processing, metrology, and foundational tests of quantum theory.

Keywords: Nonlinear Quantum Mechanics; PHIP NMR