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Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates
We investigate the quantum-classical correspondence for a particle tunnelling through a periodic superlattice structure with an applied bias voltage and an additional tilted harmonic oscillator potential. We show that the quantum mechanical tunnelling rate between neighbouring quantum wells of the s...
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| Format: | Default Article |
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2024
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| Online Access: | https://hdl.handle.net/2134/25341148.v1 |
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| _version_ | 1818164940323684352 |
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| author | F Wang Mark Greenaway Alexander Balanov TM Fromhold |
| author_facet | F Wang Mark Greenaway Alexander Balanov TM Fromhold |
| author_sort | F Wang (7715261) |
| collection | Figshare |
| description | We investigate the quantum-classical correspondence for a particle tunnelling through a periodic superlattice structure with an applied bias voltage and an additional tilted harmonic oscillator potential. We show that the quantum mechanical tunnelling rate between neighbouring quantum wells of the superlattice is determined by the topology of the phase trajectories of the analogous classical system. This result also enables us to estimate, with high accuracy, the tunnelling rate between two spatially displaced simple harmonic oscillator states using a classical model, and thus gain new insight into this generic quantum phenomenon. This finding opens new directions for exploring and understanding the quantum-classical correspondence principle and quantum jumps between displaced harmonic oscillators, which are important in many branches of natural science. |
| format | Default Article |
| id | rr-article-25341148 |
| institution | Loughborough University |
| publishDate | 2024 |
| record_format | Figshare |
| spelling | rr-article-253411482024-03-04T00:00:00Z Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates F Wang (7715261) Mark Greenaway (3135495) Alexander Balanov (1251438) TM Fromhold (9414371) Condensed-matter physics Quantum physics <p>We investigate the quantum-classical correspondence for a particle tunnelling through a periodic superlattice structure with an applied bias voltage and an additional tilted harmonic oscillator potential. We show that the quantum mechanical tunnelling rate between neighbouring quantum wells of the superlattice is determined by the topology of the phase trajectories of the analogous classical system. This result also enables us to estimate, with high accuracy, the tunnelling rate between two spatially displaced simple harmonic oscillator states using a classical model, and thus gain new insight into this generic quantum phenomenon. This finding opens new directions for exploring and understanding the quantum-classical correspondence principle and quantum jumps between displaced harmonic oscillators, which are important in many branches of natural science.</p> 2024-03-04T00:00:00Z Text Journal contribution 2134/25341148.v1 https://figshare.com/articles/journal_contribution/Non-KAM_classical_chaos_topology_for_electrons_in_superlattice_minibands_determines_the_inter-well_quantum_transition_rates/25341148 CC BY 4.0 |
| spellingShingle | Condensed-matter physics Quantum physics F Wang Mark Greenaway Alexander Balanov TM Fromhold Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates |
| title | Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates |
| title_full | Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates |
| title_fullStr | Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates |
| title_full_unstemmed | Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates |
| title_short | Non-KAM classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates |
| title_sort | non-kam classical chaos topology for electrons in superlattice minibands determines the inter-well quantum transition rates |
| topic | Condensed-matter physics Quantum physics |
| url | https://hdl.handle.net/2134/25341148.v1 |