Impact of a tunneling particle on the quantum state of a barrier: two-particle wave-packet model
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911531067768832 |
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| author | Michelko, Roman Bokes, Peter |
| author_facet | Michelko, Roman Bokes, Peter |
| contents | We investigate the scattering of two distinguishable particles with unequal masses and a mutual short-range interaction with the aim of quantifying the impact of a tunneling ``projectile'' particle on the quantum mechanical state of the ``barrier'' particle. We find that the states of the barrier particle after the tunneling or reflection of the projectile are displaced by a finite distance that is given by the derivative of the phase of the transmission or reflection amplitudes multiplied by factors dependent on particles' masses, respectively. We demonstrate these results on a numerical example with a resonant interaction between a projectile and barrier. Our work demonstrates physical implication of the concept of phase time delay in the form of finite displacements of particles that are, in principle, experimentally measurable. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_16575 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Impact of a tunneling particle on the quantum state of a barrier: two-particle wave-packet model Michelko, Roman Bokes, Peter Quantum Physics Mesoscale and Nanoscale Physics We investigate the scattering of two distinguishable particles with unequal masses and a mutual short-range interaction with the aim of quantifying the impact of a tunneling ``projectile'' particle on the quantum mechanical state of the ``barrier'' particle. We find that the states of the barrier particle after the tunneling or reflection of the projectile are displaced by a finite distance that is given by the derivative of the phase of the transmission or reflection amplitudes multiplied by factors dependent on particles' masses, respectively. We demonstrate these results on a numerical example with a resonant interaction between a projectile and barrier. Our work demonstrates physical implication of the concept of phase time delay in the form of finite displacements of particles that are, in principle, experimentally measurable. |
| title | Impact of a tunneling particle on the quantum state of a barrier: two-particle wave-packet model |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2504.16575 |