1Fakulteta za fiziko in optoelektronsko tehniko, Univerza Shenzhen, Shenzhen 518060, Kitajska
2Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing & School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus), Zhuhai 519082, Kitajska
3Državni ključni laboratorij za optoelektronske materiale in tehnologije, Univerza Sun Yat-Sen (Guangzhou Campus), Guangzhou 510275, Kitajska
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Minimalizem
Invariantnost pod Lorentzovimi transformacijami je temeljna tako za standardni model kot splošno teorijo relativnosti. Preizkušanje kršitve Lorentzove simetrije (LSV) prek atomskih sistemov pritegne veliko zanimanja tako v teoriji kot v eksperimentu. V več predlogih preskusov so učinki kršitve LSV opisani kot lokalna interakcija in ustrezna natančnost preskusa lahko asimptotično doseže Heisenbergovo mejo prek naraščajoče kvantne Fisherjeve informacije (QFI), vendar omejena ločljivost skupnih opazovanih preprečuje zaznavanje velikega QFI. Tukaj predlagamo večmodno kvantno interferometrijo z več telesi za testiranje parametra LSV $kappa$ preko skupine spinor atomov. Z uporabo večmodnega GHZ stanja $N$-atoma lahko natančnost preskusa doseže Heisenbergovo mejo $Delta kappa propto 1/(F^2N)$ z dolžino vrtenja $F$ in številom atoma $N$. Najdemo realistično opazovanje (tj. praktični merilni postopek), da dosežemo končno natančnost in analiziramo test LSV prek eksperimentalno dostopne trimodne interferometrije z Bose kondenziranimi spin-$1$ atomi na primer. Z izbiro ustreznih vhodnih stanj in operacije enotne rekombinacije je mogoče parameter LSV $kappa$ izluščiti z izvedljivim merjenjem populacije. Zlasti lahko merilna natančnost parametra LSV $kappa$ preseže standardno kvantno mejo in se celo približa Heisenbergovi meji prek dinamike vrtilnega mešanja ali vožnje skozi kvantne fazne prehode. Poleg tega je shema robustna proti neadiabatnemu učinku in zaznavnemu šumu. Naša testna shema lahko odpre izvedljiv način za drastično izboljšanje testov LSV z atomskimi sistemi in zagotovi alternativno uporabo zapletenih stanj z več delci.
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