{"id":2669,"date":"2026-07-21T04:00:00","date_gmt":"2026-07-21T04:00:00","guid":{"rendered":"https:\/\/futurenews24.com\/index.php\/2026\/07\/21\/2607-18028\/"},"modified":"2026-07-22T00:59:15","modified_gmt":"2026-07-22T00:59:15","slug":"2607-18028","status":"publish","type":"post","link":"https:\/\/futurenews24.com\/index.php\/2026\/07\/21\/2607-18028\/","title":{"rendered":"Common Dynamic Scaling of 2D Quantum Ising Transition on the Fuzzy Sphere"},"content":{"rendered":"<p><br \/>\n<br \/>arXiv:2607.18028v1 Announce Sort: cross<br \/>\nSummary: We revisit the issue of textit{real-time} quantum dynamics of the paradigmatic two dimensional transverse-field Ising mannequin utilizing the just lately developed fuzzy sphere regularization scheme. By linearly ramping the transverse area from the paramagnetic section to criticality, we examine the finite-time scaling habits of the squared order parameter $langle m_z^2 rangle$, the excitation power density $Q$, and the two-point correlation perform of $m_z$. We set up numerically that, at intermediate quench fee, $langle m_z^2 rangle$ follows the traditional Kibble-Zurek prediction set by the vital exponents of the $3$D Ising universality class, and the correlation perform reveals the anticipated exponential decay whose correlation size can be utilized to estimate the non-universal scaling coefficient within the freeze-out time\/size. In distinction, the excitation power density $Q$ doesn&#8217;t attain the identical scaling regime at accessible system sizes on account of massive efficient finite-size hole from symmetry-enforced degree sparsity within the power spectrum. At gradual quench charges the common quasi-adiabatic scaling for each $langle m_z^2 rangle$ and $Q$ is recovered. Because the fuzzy sphere development can notice not solely the Ising conformal area idea (CFT), however a broad household of $(2+1)d$ CFTs, our outcomes set up a path to the real-time vital dynamics of strongly coupled CFTs which might be in any other case computationally difficult to review.<br \/>\n<br \/><br \/>\n<br \/><a href=\"https:\/\/arxiv.org\/abs\/2607.18028\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>arXiv:2607.18028v1 Announce Sort: cross Summary: We revisit the issue of textit{real-time} quantum dynamics of the paradigmatic two dimensional transverse-field Ising mannequin utilizing the just lately developed fuzzy sphere regularization scheme. By linearly ramping the transverse area from the paramagnetic section to criticality, we examine the finite-time scaling habits of the squared order parameter $langle m_z^2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2671,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"http:\/\/arxiv.org\/static\/browse\/0.3.4\/images\/arxiv-logo-fb.png","fifu_image_alt":"","jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[],"jnews_override_bookmark_settings":[],"jnews_social_meta":[],"jnews_override_counter":[],"footnotes":""},"categories":[9],"tags":[3147,3149,1407,431,325,3150,3148,3146],"class_list":["post-2669","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantum-computing","tag-dynamic","tag-fuzzy","tag-ising","tag-quantum","tag-scaling","tag-sphere","tag-transition","tag-universal"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - 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