Theory of Two-Qubit $T_2$ Spectroscopy of Quantum Many-Body Systems
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866912973613694976 |
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| author | Hosseinabadi, Hossein Dolgirev, Pavel E. Gopalakrishnan, Sarang Yacoby, Amir Demler, Eugene Marino, Jamir |
| author_facet | Hosseinabadi, Hossein Dolgirev, Pavel E. Gopalakrishnan, Sarang Yacoby, Amir Demler, Eugene Marino, Jamir |
| contents | Multi-qubit quantum sensors are rapidly emerging as platforms that extend the capabilities of conventional single-qubit sensing. In this work we show how suitable pulse sequences applied to a two-qubit sensor enable separate extraction of the response and noise of a probed environment within a $T_2$ spectroscopy framework. By resorting to representative examples, we demonstrate that this approach can resolve the spatio-temporal spreading of correlations in a many-body system. In particular, the resulting correlated dephasing signal captures features such as the dispersion of low-energy excitations, which manifest as light-cone-like profiles in the propagation of correlations. We further show that non-equilibrium conditions, for instance those induced by external driving, can modify this profile by producing additional fringes outside the light-cone. As a complementary application, we demonstrate that the method clearly distinguishes between different transport regimes in the system, including ballistic spreading, diffusive broadening, and the crossover between them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18176 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Theory of Two-Qubit $T_2$ Spectroscopy of Quantum Many-Body Systems Hosseinabadi, Hossein Dolgirev, Pavel E. Gopalakrishnan, Sarang Yacoby, Amir Demler, Eugene Marino, Jamir Quantum Physics Mesoscale and Nanoscale Physics Multi-qubit quantum sensors are rapidly emerging as platforms that extend the capabilities of conventional single-qubit sensing. In this work we show how suitable pulse sequences applied to a two-qubit sensor enable separate extraction of the response and noise of a probed environment within a $T_2$ spectroscopy framework. By resorting to representative examples, we demonstrate that this approach can resolve the spatio-temporal spreading of correlations in a many-body system. In particular, the resulting correlated dephasing signal captures features such as the dispersion of low-energy excitations, which manifest as light-cone-like profiles in the propagation of correlations. We further show that non-equilibrium conditions, for instance those induced by external driving, can modify this profile by producing additional fringes outside the light-cone. As a complementary application, we demonstrate that the method clearly distinguishes between different transport regimes in the system, including ballistic spreading, diffusive broadening, and the crossover between them. |
| title | Theory of Two-Qubit $T_2$ Spectroscopy of Quantum Many-Body Systems |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.18176 |