Chiral basis for qubits and spin-helix decay
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916283242512384 |
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| author | Popkov, Vladislav Zhang, Xin Göhmann, Frank Klümper, Andreas |
| author_facet | Popkov, Vladislav Zhang, Xin Göhmann, Frank Klümper, Andreas |
| contents | We propose a qubit basis composed of transverse spin helices with kinks. Unlike the usual computational basis, this chiral basis is well suited for describing quantum states with nontrivial topology. Choosing appropriate parameters the operators of the transverse spin components, $σ_n^x$ and $σ_n^y$, become diagonal in the chiral basis, which facilitates the study of problems focused on transverse spin components. As an application, we study the temporal decay of the transverse polarization of a spin helix in the XX model that has been measured in recent cold atom experiments. We obtain an explicit universal function describing the relaxation of helices of arbitrary wavelength. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14056 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Chiral basis for qubits and spin-helix decay Popkov, Vladislav Zhang, Xin Göhmann, Frank Klümper, Andreas Quantum Physics Statistical Mechanics Mathematical Physics We propose a qubit basis composed of transverse spin helices with kinks. Unlike the usual computational basis, this chiral basis is well suited for describing quantum states with nontrivial topology. Choosing appropriate parameters the operators of the transverse spin components, $σ_n^x$ and $σ_n^y$, become diagonal in the chiral basis, which facilitates the study of problems focused on transverse spin components. As an application, we study the temporal decay of the transverse polarization of a spin helix in the XX model that has been measured in recent cold atom experiments. We obtain an explicit universal function describing the relaxation of helices of arbitrary wavelength. |
| title | Chiral basis for qubits and spin-helix decay |
| topic | Quantum Physics Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2303.14056 |