Emergent Quantum Walk Dynamics from Classical Interacting Particles
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915826347540480 |
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| author | Saha, Surajit |
| author_facet | Saha, Surajit |
| contents | The dynamics of a discrete-time quantum walk (DTQW) can be realized within a purely classical interacting particle system composed of some boxes and a large but finite number of balls, and can, in principle, be implemented in a tabletop experimental setting. The distribution of the balls evolves under stochastic, occupation-dependent update rules at each lattice site, producing quantum-walk dynamics without invoking a wavefunction. The update parameters are fixed by the parameters of coin and shift operations of the DTQW. This framework naturally yields a generalized active spin model and provides a minimal lattice-based microscopic understanding of the emergence of quantum-like dynamics in active matter systems. This interdisciplinary approach connects the classical models to the broad range of applications where DTQWs are successfully employed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_06896 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergent Quantum Walk Dynamics from Classical Interacting Particles Saha, Surajit Quantum Physics Statistical Mechanics The dynamics of a discrete-time quantum walk (DTQW) can be realized within a purely classical interacting particle system composed of some boxes and a large but finite number of balls, and can, in principle, be implemented in a tabletop experimental setting. The distribution of the balls evolves under stochastic, occupation-dependent update rules at each lattice site, producing quantum-walk dynamics without invoking a wavefunction. The update parameters are fixed by the parameters of coin and shift operations of the DTQW. This framework naturally yields a generalized active spin model and provides a minimal lattice-based microscopic understanding of the emergence of quantum-like dynamics in active matter systems. This interdisciplinary approach connects the classical models to the broad range of applications where DTQWs are successfully employed. |
| title | Emergent Quantum Walk Dynamics from Classical Interacting Particles |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2506.06896 |