Momentum-resolved two-dimensional spectroscopy as a probe of nonlinear quantum field dynamics
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arXiv
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| Format: | Preprint |
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2025
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| author | De Santis, Duilio Salvador, Alex Gómez Bazhan, Nataliia Erne, Sebastian Prüfer, Maximilian Guarcello, Claudio Valenti, Davide Schmiedmayer, Jörg Demler, Eugene |
| author_facet | De Santis, Duilio Salvador, Alex Gómez Bazhan, Nataliia Erne, Sebastian Prüfer, Maximilian Guarcello, Claudio Valenti, Davide Schmiedmayer, Jörg Demler, Eugene |
| contents | Emergent collective excitations constitute a hallmark of interacting quantum many-body systems, yet in solid-state platforms their study has been largely limited by the constraints of linear-response probes and by finite momentum resolution. We propose to overcome these limitations by combining the spatial resolution of ultracold atomic systems with the nonlinear probing capabilities of two-dimensional spectroscopy (2DS). As a concrete illustration, we analyze momentum-resolved 2DS of the quantum sine-Gordon model describing the low energy dynamics of two weakly coupled one-dimensional Bose-Einstein condensates. This approach reveals distinctive many-body signatures, most notably asymmetric cross-peaks reflecting the interplay between isolated ($B_2$ breather) and continuum ($B_1$ pair) modes. The protocol further enables direct characterization of anharmonicity and disorder, establishing momentum-resolved 2DS as both a powerful diagnostic for quantum simulators and a versatile probe of correlated quantum matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_25147 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Momentum-resolved two-dimensional spectroscopy as a probe of nonlinear quantum field dynamics De Santis, Duilio Salvador, Alex Gómez Bazhan, Nataliia Erne, Sebastian Prüfer, Maximilian Guarcello, Claudio Valenti, Davide Schmiedmayer, Jörg Demler, Eugene Quantum Gases Pattern Formation and Solitons Quantum Physics Emergent collective excitations constitute a hallmark of interacting quantum many-body systems, yet in solid-state platforms their study has been largely limited by the constraints of linear-response probes and by finite momentum resolution. We propose to overcome these limitations by combining the spatial resolution of ultracold atomic systems with the nonlinear probing capabilities of two-dimensional spectroscopy (2DS). As a concrete illustration, we analyze momentum-resolved 2DS of the quantum sine-Gordon model describing the low energy dynamics of two weakly coupled one-dimensional Bose-Einstein condensates. This approach reveals distinctive many-body signatures, most notably asymmetric cross-peaks reflecting the interplay between isolated ($B_2$ breather) and continuum ($B_1$ pair) modes. The protocol further enables direct characterization of anharmonicity and disorder, establishing momentum-resolved 2DS as both a powerful diagnostic for quantum simulators and a versatile probe of correlated quantum matter. |
| title | Momentum-resolved two-dimensional spectroscopy as a probe of nonlinear quantum field dynamics |
| topic | Quantum Gases Pattern Formation and Solitons Quantum Physics |
| url | https://arxiv.org/abs/2509.25147 |