{"citation":{"ama":"Vorndamme P, Schmidt H-J, Schröder C, Schnack J. Observation of phase synchronization and alignment during free induction decay of quantum spins with Heisenberg interactions. <i>New Journal of Physics</i>. 2021;23(8). doi:<a href=\"https://doi.org/10.1088/1367-2630/ac18df\">10.1088/1367-2630/ac18df</a>","mla":"Vorndamme, Patrick, et al. “Observation of Phase Synchronization and Alignment during Free Induction Decay of Quantum Spins with Heisenberg Interactions.” <i>New Journal of Physics</i>, vol. 23, no. 8, 083038, IOP Publishing, 2021, doi:<a href=\"https://doi.org/10.1088/1367-2630/ac18df\">10.1088/1367-2630/ac18df</a>.","bibtex":"@article{Vorndamme_Schmidt_Schröder_Schnack_2021, title={Observation of phase synchronization and alignment during free induction decay of quantum spins with Heisenberg interactions}, volume={23}, DOI={<a href=\"https://doi.org/10.1088/1367-2630/ac18df\">10.1088/1367-2630/ac18df</a>}, number={8083038}, journal={New Journal of Physics}, publisher={IOP Publishing}, author={Vorndamme, Patrick and Schmidt, Heinz-Jürgen and Schröder, Christian and Schnack, Jürgen}, year={2021} }","chicago":"Vorndamme, Patrick, Heinz-Jürgen Schmidt, Christian Schröder, and Jürgen Schnack. “Observation of Phase Synchronization and Alignment during Free Induction Decay of Quantum Spins with Heisenberg Interactions.” <i>New Journal of Physics</i> 23, no. 8 (2021). <a href=\"https://doi.org/10.1088/1367-2630/ac18df\">https://doi.org/10.1088/1367-2630/ac18df</a>.","apa":"Vorndamme, P., Schmidt, H.-J., Schröder, C., &#38; Schnack, J. (2021). Observation of phase synchronization and alignment during free induction decay of quantum spins with Heisenberg interactions. <i>New Journal of Physics</i>, <i>23</i>(8). <a href=\"https://doi.org/10.1088/1367-2630/ac18df\">https://doi.org/10.1088/1367-2630/ac18df</a>","ieee":"P. Vorndamme, H.-J. Schmidt, C. Schröder, and J. Schnack, “Observation of phase synchronization and alignment during free induction decay of quantum spins with Heisenberg interactions,” <i>New Journal of Physics</i>, vol. 23, no. 8, 2021.","alphadin":"<span style=\"font-variant:small-caps;\">Vorndamme, Patrick</span> ; <span style=\"font-variant:small-caps;\">Schmidt, Heinz-Jürgen</span> ; <span style=\"font-variant:small-caps;\">Schröder, Christian</span> ; <span style=\"font-variant:small-caps;\">Schnack, Jürgen</span>: Observation of phase synchronization and alignment during free induction decay of quantum spins with Heisenberg interactions. In: <i>New Journal of Physics</i> Bd. 23, IOP Publishing (2021), Nr. 8","short":"P. Vorndamme, H.-J. Schmidt, C. Schröder, J. Schnack, New Journal of Physics 23 (2021)."},"user_id":"35809","date_created":"2022-04-20T08:25:16Z","project":[{"_id":"f89a05bb-bcea-11ed-9442-ed382659bc06","name":"Bielefelder Institut für Angewandte Materialforschung"}],"publication":"New Journal of Physics","title":"Observation of phase synchronization and alignment during free induction decay of quantum spins with Heisenberg interactions","status":"public","_id":"1829","year":"2021","publication_status":"published","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"abstract":[{"lang":"eng","text":"                  Abstract - \r\n                  \r\n                    Equilibration of observables in closed quantum systems that are described by a unitary time evolution is a meanwhile well-established phenomenon apart from a few equally well-established exceptions. Here we report the surprising theoretical observation that integrable as well as non-integrable spin rings with nearest-neighbor or long-range isotropic Heisenberg interaction not only equilibrate but moreover also synchronize the directions of the expectation values of the individual spins. We highlight that this differs from spontaneous synchronization in quantum dissipative systems. Here, we observe mutual synchronization of local spin directions in closed systems under unitary time evolution. In our numerical simulations, we investigate the free induction decay of an ensemble of up to\r\n                    N\r\n                    = 25 quantum spins with\r\n                    s\r\n                    = 1/2 each by solving the time-dependent Schrödinger equation numerically exactly. Our findings are related to, but not fully explained by conservation laws of the system. Even if we cannot provide a full understanding of the phenomenon, it is very robust against for instance random fluctuations of the Heisenberg couplings and inhomogeneous magnetic fields. The observed synchronization is independent of whether the interaction is ferro- or antiferromagnetic. Synchronization is not observed with strong enough symmetry-breaking interactions such as the dipolar interaction. We also compare our results to closed-system classical spin dynamics which does not exhibit phase synchronization due to the lack of entanglement and since the fixed magnitude of individual classical spins effectively acts like additional\r\n                    N\r\n                    conservation laws.\r\n                  \r\n                "}],"publication_identifier":{"eissn":["1367-2630"]},"type":"journal_article","language":[{"iso":"eng"}],"intvolume":"        23","article_number":"083038","date_updated":"2023-03-08T09:30:25Z","author":[{"last_name":"Vorndamme","full_name":"Vorndamme, Patrick","first_name":"Patrick"},{"first_name":"Heinz-Jürgen","full_name":"Schmidt, Heinz-Jürgen","last_name":"Schmidt"},{"full_name":"Schröder, Christian","last_name":"Schröder","orcid":"0000-0002-6391-6548","first_name":"Christian","id":"35809"},{"first_name":"Jürgen","last_name":"Schnack","full_name":"Schnack, Jürgen"}],"issue":"8","publisher":"IOP Publishing","quality_controlled":"1","volume":23,"doi":"10.1088/1367-2630/ac18df"}