Coherent transport in two-dimensional disordered potentials under spatially uniform SU(2) gauge fields
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917398759604224 |
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| author | Kakoi, Masataka Miniatura, Christian Slevin, Keith |
| author_facet | Kakoi, Masataka Miniatura, Christian Slevin, Keith |
| contents | We study interference effects in the dynamics of a spin-$1/2$ particle propagating in two dimensions in a disordered potential and subject to a generalized spin-orbit coupling. With the particle initially in a spin-polarized plane wave state, in the short-time regime, before the spin and momentum distributions reach their steady states, we observe a transient backscattering peak offset from the exact backscattering direction, coexisting with a coherent backscattering dip. We present an intuitive explanation of this momentum offset using a non-Abelian gauge transformation. We also describe the full time evolution of the transient peak, from its buildup to its decay with a precise prediction of the dephasing time within a perturbative framework for multiple scattering. Our results can be applied to general spatially uniform SU(2) gauge fields, including the synthetic gauge field in ultracold atoms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07312 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coherent transport in two-dimensional disordered potentials under spatially uniform SU(2) gauge fields Kakoi, Masataka Miniatura, Christian Slevin, Keith Quantum Gases Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics We study interference effects in the dynamics of a spin-$1/2$ particle propagating in two dimensions in a disordered potential and subject to a generalized spin-orbit coupling. With the particle initially in a spin-polarized plane wave state, in the short-time regime, before the spin and momentum distributions reach their steady states, we observe a transient backscattering peak offset from the exact backscattering direction, coexisting with a coherent backscattering dip. We present an intuitive explanation of this momentum offset using a non-Abelian gauge transformation. We also describe the full time evolution of the transient peak, from its buildup to its decay with a precise prediction of the dephasing time within a perturbative framework for multiple scattering. Our results can be applied to general spatially uniform SU(2) gauge fields, including the synthetic gauge field in ultracold atoms. |
| title | Coherent transport in two-dimensional disordered potentials under spatially uniform SU(2) gauge fields |
| topic | Quantum Gases Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2509.07312 |