Quantum theory for phonon lasing and non-classical state generation in mixed-species and single trapped ions
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917422846443520 |
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| author | Baur, David Behrle, Tanja Rojkov, Ivan Jeske, Jan Yelin, Susanne Home, Jonathan Reiter, Florentin |
| author_facet | Baur, David Behrle, Tanja Rojkov, Ivan Jeske, Jan Yelin, Susanne Home, Jonathan Reiter, Florentin |
| contents | In this article we present a comprehensive theoretical investigation of phonon lasing with mixed-species trapped ions, as demonstrated in [T. Behrle, Phys. Rev. Lett. 131 (2023)], employing both a semi-classical mean-field description and a full quantum theory. We derive an analytic expression for the second-order coherence function, confirming the experimental observation of the system's lasing behaviour above threshold. Building on the successful implementation of the two-ion lasing scheme, we propose a novel approach for achieving phonon lasing with a single trapped ion, offering significant experimental advantages and making the implementation of multiple phonon lasers within a single setup feasible. Furthermore, we explore lasing in a squeezed basis and in different regimes of the Lamb-Dicke approximation, highlighting the potential to produce non-classical states with promising applications in precision sensing. Our analysis of a sensing protocol based on squeezed states, using experimentally feasible parameters, shows a sensitivity enhancement of up to two orders of magnitude. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_18295 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum theory for phonon lasing and non-classical state generation in mixed-species and single trapped ions Baur, David Behrle, Tanja Rojkov, Ivan Jeske, Jan Yelin, Susanne Home, Jonathan Reiter, Florentin Quantum Physics In this article we present a comprehensive theoretical investigation of phonon lasing with mixed-species trapped ions, as demonstrated in [T. Behrle, Phys. Rev. Lett. 131 (2023)], employing both a semi-classical mean-field description and a full quantum theory. We derive an analytic expression for the second-order coherence function, confirming the experimental observation of the system's lasing behaviour above threshold. Building on the successful implementation of the two-ion lasing scheme, we propose a novel approach for achieving phonon lasing with a single trapped ion, offering significant experimental advantages and making the implementation of multiple phonon lasers within a single setup feasible. Furthermore, we explore lasing in a squeezed basis and in different regimes of the Lamb-Dicke approximation, highlighting the potential to produce non-classical states with promising applications in precision sensing. Our analysis of a sensing protocol based on squeezed states, using experimentally feasible parameters, shows a sensitivity enhancement of up to two orders of magnitude. |
| title | Quantum theory for phonon lasing and non-classical state generation in mixed-species and single trapped ions |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.18295 |