Generalized Dynamical Duality of Quantum Particles in One Dimension
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915585210712064 |
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| author | Chen, Yu Cui, Xiaoling |
| author_facet | Chen, Yu Cui, Xiaoling |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25056 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Dynamical Duality of Quantum Particles in One Dimension Chen, Yu Cui, Xiaoling Quantum Gases Quantum Physics 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. |
| title | Generalized Dynamical Duality of Quantum Particles in One Dimension |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2510.25056 |