Momentum-resolved two-dimensional spectroscopy as a probe of nonlinear quantum field dynamics

• URL: http://arxiv.org/abs/2509.25147v1
• Date: Mon, 29 Sep 2025 17:52:48 GMT
• Title: Momentum-resolved two-dimensional spectroscopy as a probe of nonlinear quantum field dynamics
• Authors: Duilio De Santis, Alex Gómez Salvador, Nataliia Bazhan, Sebastian Erne, Maximilian Prüfer, Claudio Guarcello, Davide Valenti, Jörg Schmiedmayer, Eugene Demler,
• Abstract summary: Emergent collective excitations constitute a hallmark of interacting quantum many-body systems.<n>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)<n>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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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