{"id":205840,"date":"2025-02-07T17:06:59","date_gmt":"2025-02-07T23:06:59","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2025\/02\/probing-spectral-features-of-quantum-many-body-systems-with-quantum-simulators"},"modified":"2025-02-07T17:06:59","modified_gmt":"2025-02-07T23:06:59","slug":"probing-spectral-features-of-quantum-many-body-systems-with-quantum-simulators","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2025\/02\/probing-spectral-features-of-quantum-many-body-systems-with-quantum-simulators","title":{"rendered":"Probing spectral features of quantum many-body systems with quantum simulators"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/probing-spectral-features-of-quantum-many-body-systems-with-quantum-simulators.jpg\"><\/a><\/p>\n<p>Estimating spectral features of quantum many-body systems has attracted great attention in condensed matter physics and quantum chemistry. To achieve this task, various experimental and theoretical techniques have been developed, such as spectroscopy techniques<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Mukamel, S. Principles of nonlinear optical spectroscopy, (Oxford University Press, USA, 1995).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR1\" id=\"ref-link-section-d37579287e371\">1<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Lovesey, S. W. Theory of Neutron Scattering from Condensed Matter (Clarendon Press, 1984).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR2\" id=\"ref-link-section-d37579287e371_1\">2<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Boothroyd, A. T. Principles of Neutron Scattering from Condensed Matter (Oxford University Press, 2020).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR3\" id=\"ref-link-section-d37579287e371_2\">3<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Als-Nielsen, J., McMorrow, D. Elements of modern X-ray physics (John Wiley & Sons, 2011).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR4\" id=\"ref-link-section-d37579287e371_3\">4<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Knap, M. et al. Probing real-space and time-resolved correlation functions with many-body ramsey interferometry. Phys. Rev. Lett. 111, 147205 (2013).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR5\" id=\"ref-link-section-d37579287e371_4\">5<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Wan, Y. & Armitage, N. Resolving continua of fractional excitations by spinon echo in thz 2d coherent spectroscopy. Phys. Rev. Lett. 122, 257401 (2019).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR6\" id=\"ref-link-section-d37579287e371_5\">6<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 7\" title=\"Kowalewski, M., Fingerhut, B. P., Dorfman, K. E., Bennett, K. & Mukamel, S. Simulating coherent multidimensional spectroscopy of nonadiabatic molecular processes: From the infrared to the x-ray regime. Chem. Rev. 117, 12165&ndash;12226 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR7\" id=\"ref-link-section-d37579287e374\">7<\/a><\/sup> and quantum simulation either by engineering controlled quantum devices<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Senko, C. et al. Coherent imaging spectroscopy of a quantum many-body spin system. Science 345430&ndash;433 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR8\" id=\"ref-link-section-d37579287e378\">8<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Jurcevic, P. et al. Quasiparticle engineering and entanglement propagation in a quantum many-body system. Nature 511202&ndash;205 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR9\" id=\"ref-link-section-d37579287e378_1\">9<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Vald\u00e9s-Curiel, A., Trypogeorgos, D., Marshall, E. & Spielman, I. Fourier transform spectroscopy of a spin-orbit coupled bose gas. N. J. Phys. 19, 033025 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR10\" id=\"ref-link-section-d37579287e378_2\">10<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Dalmonte, M., Vermersch, B. & Zoller, P. Quantum simulation and spectroscopy of entanglement hamiltonians. Nat. Phys. 14827&ndash;831 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR11\" id=\"ref-link-section-d37579287e378_3\">11<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Manmana, S. R., Wessel, S., Noack, R. M. & Muramatsu, A. Time evolution of correlations in strongly interacting fermions after a quantum quench. Phys. Rev. B 79, 155104 (2009).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR12\" id=\"ref-link-section-d37579287e378_4\">12<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Yoshimura, B., Campbell, W. & Freericks, J. Diabatic-ramping spectroscopy of many-body excited states. Phys. Rev. A 90, 062334 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR13\" id=\"ref-link-section-d37579287e378_5\">13<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Richerme, P. et al. Non-local propagation of correlations in quantum systems with long-range interactions. Nature 511198&ndash;201 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR14\" id=\"ref-link-section-d37579287e378_6\">14<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Menu, R. & Roscilde, T. Quench dynamics of quantum spin models with flat bands of excitations. Phys. Rev. B 98, 205145 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR15\" id=\"ref-link-section-d37579287e378_7\">15<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 16\" title=\"Lee, C.-K., Zhong Lau, J. W., Shi, L. & Kwek, L. C. Simulating energy transfer in molecular systems with digital quantum computers. J. Chem. Theory Comput. 18, 1347&ndash;1358 (2022).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR16\" id=\"ref-link-section-d37579287e381\">16<\/a><\/sup> or executing quantum algorithms<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Miessen, A., Ollitrault, P. J., Tacchino, F. & Tavernelli, I. Quantum algorithms for quantum dynamics. Nat. Computational Sci. 3, 25&ndash;37 (2023).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR17\" id=\"ref-link-section-d37579287e385\">17<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Ge, Y., Tura, J. & Cirac, J. I. Faster ground state preparation and high-precision ground energy estimation with fewer qubits. J. Math. Phys. 60, 022202 (2019).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR18\" id=\"ref-link-section-d37579287e385_1\">18<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Low, G. H. & Chuang, I. L. Hamiltonian simulation by uniform spectral amplification. Preprint at https:\/\/arxiv.org\/abs\/1707.05391 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR19\" id=\"ref-link-section-d37579287e385_2\">19<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 20\" title=\"Lee, C.-K., Hsieh, C.-Y., Zhang, S. & Shi, L. Simulation of condensed-phase spectroscopy with near-term digital quantum computers. J. Chem. Theory Comput. 17, 7178&ndash;7186 (2021).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR20\" id=\"ref-link-section-d37579287e388\">20<\/a><\/sup> such as quantum phase estimation and variational algorithms. However, probing the behaviour of complex quantum many-body systems remains a challenge, which demands substantial resources for both approaches. For instance, a real probe by neutron spectroscopy requires access to large-scale facilities with high-intensity neutron beams, while quantum computation of eigenenergies typically requires controlled operations with a long coherence time<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 17\" title=\"Miessen, A., Ollitrault, P. J., Tacchino, F. & Tavernelli, I. Quantum algorithms for quantum dynamics. Nat. Computational Sci. 3, 25&ndash;37 (2023).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR17\" id=\"ref-link-section-d37579287e392\">17<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 18\" title=\"Ge, Y., Tura, J. & Cirac, J. I. Faster ground state preparation and high-precision ground energy estimation with fewer qubits. J. Math. Phys. 60, 022202 (2019).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR18\" id=\"ref-link-section-d37579287e395\">18<\/a><\/sup>. Efficient estimation of spectral properties has become a topic of increasing interest in this noisy intermediate-scale quantum era<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 21\" title=\"Bharti, K. et al. Noisy intermediate-scale quantum algorithms. Rev. Mod. Phys. 94, 015004 (2022).\" href=\"https:\/\/www.nature.com\/articles\/s41467-025-55955-2#ref-CR21\" id=\"ref-link-section-d37579287e399\">21<\/a><\/sup>.<\/p>\n<p>A potential solution to efficient spectral property estimation is to extract the spectral information from the dynamics of observables, rather than relying on real probes such as scattering spectroscopy, or direct computation of eigenenergies. This approach capitalises on the basics in quantum mechanics that spectral information is naturally carried by the observable\u2019s dynamics<sup>10,20,22,23,24,25,26<\/sup>. In a solid system with translation invariance, for instance, the dynamic structure factor, which can be probed in spectroscopy experiments<sup>7,26<\/sup>, reaches its local maximum when both the energy and momentum selection rules are satisfied. Therefore, the energy dispersion can be inferred by tracking the peak of intensities in the energy excitation spectrum.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Estimating spectral features of quantum many-body systems has attracted great attention in condensed matter physics and quantum chemistry. To achieve this task, various experimental and theoretical techniques have been developed, such as spectroscopy techniques1,2,3,4,5,6,7 and quantum simulation either by engineering controlled quantum devices8,9,10,11,12,13,14,15,16 or executing quantum algorithms17,18,19,20 such as quantum phase estimation and variational algorithms. [\u2026]<\/p>\n","protected":false},"author":661,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19,38,41,1617],"tags":[],"class_list":["post-205840","post","type-post","status-publish","format-standard","hentry","category-chemistry","category-engineering","category-information-science","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/205840","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/661"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=205840"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/205840\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=205840"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=205840"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=205840"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}