Generalized Dynamical Duality of Quantum Particles in One Dimension
- URL: http://arxiv.org/abs/2510.25056v1
- Date: Wed, 29 Oct 2025 00:46:57 GMT
- Title: Generalized Dynamical Duality of Quantum Particles in One Dimension
- Authors: Yu Chen, Xiaoling Cui,
- Abstract summary: We prove a generalized dynamical duality for identical particles in one dimension (1D)<n>We can be readily detected in quasi-1D ultracold gases with tunable s- and p-wave interactions.
- Score: 3.281467681022574
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- 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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