Generalized Dynamical Duality of Quantum Particles in One Dimension

Yu Chen; Xiaoling Cui

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arXiv · 2510.25056

Generalized Dynamical Duality of Quantum Particles in One Dimension

Yu Chen·Xiaoling Cui

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Abstract

We prove a generalized dynamical duality for identical particles in one dimension (1D). Namely, 1D systems with arbitrary statistics -- including bosons, fermions and anyons -- approach the same momentum distribution after long-time expansion from a trap, provided they share the same scattering length for short-range interactions. This momentum distribution is uniquely given by the rapidities, or quasi-momenta, of the initial trapped state. Our results can be readily detected in quasi-1D ultracold gases with tunable s- and p-wave interactions.

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Yu Chen, Xiaoling Cui. 2025-10-29. Generalized Dynamical Duality of Quantum Particles in One Dimension. https://arxiv.org/abs/2510.25056

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