{"id":507,"date":"2022-02-17T15:16:00","date_gmt":"2022-02-17T14:16:00","guid":{"rendered":"https:\/\/gqm.lpl.univ-paris13.fr\/?p=507"},"modified":"2025-10-28T13:52:33","modified_gmt":"2025-10-28T12:52:33","slug":"scalable-spin-squeezing-from-spontaneous-breaking-of-a-continuous-symmetry","status":"publish","type":"post","link":"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2022\/02\/17\/scalable-spin-squeezing-from-spontaneous-breaking-of-a-continuous-symmetry\/","title":{"rendered":"Scalable spin squeezing from spontaneous breaking of a continuous symmetry"},"content":{"rendered":"\n
\n
\n

In systems of \ud835\udc46 =1\/2 spins or qubits, the combination of the suppression of fluctuations along one direction and of the persistence of transverse magnetization leads to spin squeezing\u2014a much sought-after property of quantum states, both for the purpose of entanglement detection as well as for metrological uses.<\/p>\n\n\n\n

Focusing on the case of \ud835\udc4b\u2062\ud835\udc4b\u2062\ud835\udc4d models spontaneously breaking a U(1) [or even SU(2)] symmetry, we show that the adiabatically prepared states have nearly minimal spin uncertainty; that the minimum phase uncertainty that one can achieve with these states scales as \ud835\udc41\u22123\/4 with the number of spins \ud835\udc41; and that this scaling is attained after an adiabatic preparation time scaling linearly with \ud835\udc41.<\/p>\n\n\n\n

Our findings open the door to the adiabatic preparation of strongly spin-squeezed states in a large variety of quantum many-body devices including, e.g., optical-lattice clocks.<\/p>\n<\/div>\n\n\n\n

\n
\"\"
The LPL team performs spin-rotation operations using 4 internal states (m1,2,3,4) of strontium. These operations make it possible to simultaneously measure several components (Sx, Sy, Sz) of a qubit (m2,m3).<\/figcaption><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Spontaneous symmetry breaking is a property of Hamiltonian equilibrium states which, in the thermodynamic limit, retain a finite average value of an order parameter even after a field coupled to it is adiabatically turned off. In the case of quantum spin models with continuous symmetry, we show that this adiabatic process is also accompanied by the suppression of the fluctuations of the symmetry generator\u2014namely, the collective spin component along an axis of symmetry.
\narXiv:2202.08607 (2022)<\/a> \/ Phys. Rev. Lett. 129, 113201 (2022)<\/a><\/p>\n","protected":false},"author":3,"featured_media":830,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_themeisle_gutenberg_block_has_review":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[18,65],"tags":[97,36,95,58],"class_list":["post-507","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-article","category-strontium","tag-fabio-mezzacapo","tag-martin-robert-de-saint-vincent","tag-tommaso-comparin","tag-tommaso-roscilde"],"blocksy_meta":[],"yoast_head":"\nScalable spin squeezing from spontaneous breaking of a continuous symmetry - Magnetic Quantum Gases<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/gqm.lpl.univ-paris13.fr\/index.php\/2022\/02\/17\/scalable-spin-squeezing-from-spontaneous-breaking-of-a-continuous-symmetry\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Scalable spin squeezing from spontaneous breaking of a continuous symmetry - Magnetic Quantum Gases\" \/>\n<meta property=\"og:description\" content=\"Spontaneous symmetry breaking is a property of Hamiltonian equilibrium states which, in the thermodynamic limit, retain a finite average value of an order parameter even after a field coupled to it is adiabatically turned off. 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