"Je studov\u00E1na atomov\u00E1 magnetometrie zalo\u017Een\u00E1 na rotaci kolektivn\u00EDho spinu atomov\u00E9ho oblaku v magnetick\u00E9m poli. Tato rotace je monitorov\u00E1na prost\u0159ednictv\u00EDm kvantov\u011B nedemoli\u010Dn\u00ED interakce atomov\u00E9ho mraku s optick\u00FDm svazkem. Je nalezen optim\u00E1ln\u00ED profil sv\u011Bteln\u00E9ho pulzu, kter\u00FD pro danou fixn\u00ED dobu m\u011B\u0159en\u00ED a energii pulzu minimalizuje chybu m\u011B\u0159en\u00ED. Je uk\u00E1z\u00E1no, \u017Ee prost\u0159ednictv\u00EDm tvarov\u00E1n\u00ED pulzu je mo\u017En\u00E9 dos\u00E1hnout ur\u010Dit\u00E9ho sn\u00ED\u017Een\u00ED chyby m\u011B\u0159en\u00ED, ale asymptotick\u00E9 \u0161k\u00E1lov\u00E1n\u00ED t\u00E9to chyby nem\u00FA\u017Ee b\u00FDt zlep\u0161eno ve srovn\u00E1n\u00ED s postupem vyu\u017E\u00EDvaj\u00EDc\u00EDm svazek s konstantn\u00ED intenzitou."@cs . . "P(LC06007), Z(MSM6198959213)" . . "[24F8F2428C9E]" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "RIV/61989592:15310/08:00005570" . . . . . . "Optimal estimation of the magnetic field in atomic magnetometry with arbitrary shape of the probe light beam" . . "Optimal estimation of the magnetic field in atomic magnetometry with arbitrary shape of the probe light beam"@en . "Physical Review A" . "4" . . . "Optimal estimation of the magnetic field in atomic magnetometry with arbitrary shape of the probe light beam"@en . . "magnetometry; collective atomic spin; quantum non-demolition measurement"@en . . "RIV/61989592:15310/08:00005570!RIV09-MSM-15310___" . "15310" . "Optim\u00E1ln\u00ED estimace magnetick\u00E9ho pole v atomov\u00E9 magnetometrii s libovoln\u00FDm tvarem optick\u00E9ho svazku"@cs . "1050-2947" . . "1"^^ . "Optim\u00E1ln\u00ED estimace magnetick\u00E9ho pole v atomov\u00E9 magnetometrii s libovoln\u00FDm tvarem optick\u00E9ho svazku"@cs . "We investigate atomic magnetometry based on the rotation of a collective spin of atomic ensemble in a magnetic field. The rotation is monitored by a quantum nondemolition interaction of the atomic cloud with a probe light beam. We derive the optimal shape of the light pulse that for a given fixed measurement time and pulse energy minimizes the measurement error. We show that the error can be somewhat reduced by using a properly shaped pulse, but the asymptotic scaling of the error cannot be improved with respect to the scheme with constant intensity of the light beam."@en . . "77" . "Optimal estimation of the magnetic field in atomic magnetometry with arbitrary shape of the probe light beam" . "1"^^ . "385067" . "1"^^ . . "We investigate atomic magnetometry based on the rotation of a collective spin of atomic ensemble in a magnetic field. The rotation is monitored by a quantum nondemolition interaction of the atomic cloud with a probe light beam. We derive the optimal shape of the light pulse that for a given fixed measurement time and pulse energy minimizes the measurement error. We show that the error can be somewhat reduced by using a properly shaped pulse, but the asymptotic scaling of the error cannot be improved with respect to the scheme with constant intensity of the light beam." . "Fiur\u00E1\u0161ek, Jarom\u00EDr" . . .