From free-evolution to tomographic representation
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911102273585152 |
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| author | Cordero, Sergio López-Peña, Ramón Nahmad-Achar, Eduardo Castaños, Octavio López-Saldívar, Julio Aberto Man'ko, Vladimir I. |
| author_facet | Cordero, Sergio López-Peña, Ramón Nahmad-Achar, Eduardo Castaños, Octavio López-Saldívar, Julio Aberto Man'ko, Vladimir I. |
| contents | We use the free evolution propagator to determine the quantum probability representation (i.e., the general expression of the tomogram) of any one-dimensional system described by a density state. The evolution operator for the considered quantum system is additionally used to establish the corresponding time dependent tomogram. Applications are given for a Gaussian wave packet, the quantum shutter related with the phenomenon of diffraction in time, the double quantum shutter, and a finite potential. A generalisation to describe $N$ particle systems is also presented and, in particular, we find the tomogram associated to the 2 particle case occupying in general non-orthogonal states. In the latter case, for a bipartite quantum system, the entanglement properties are established by considering quantum information concepts such as the linear entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08456 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From free-evolution to tomographic representation Cordero, Sergio López-Peña, Ramón Nahmad-Achar, Eduardo Castaños, Octavio López-Saldívar, Julio Aberto Man'ko, Vladimir I. Quantum Physics We use the free evolution propagator to determine the quantum probability representation (i.e., the general expression of the tomogram) of any one-dimensional system described by a density state. The evolution operator for the considered quantum system is additionally used to establish the corresponding time dependent tomogram. Applications are given for a Gaussian wave packet, the quantum shutter related with the phenomenon of diffraction in time, the double quantum shutter, and a finite potential. A generalisation to describe $N$ particle systems is also presented and, in particular, we find the tomogram associated to the 2 particle case occupying in general non-orthogonal states. In the latter case, for a bipartite quantum system, the entanglement properties are established by considering quantum information concepts such as the linear entropy. |
| title | From free-evolution to tomographic representation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2508.08456 |