Sensitivity bounds for interferometry with Ising Hamiltonians
Autori: Li Y., Pezzè L., Li WD., Smerzi A.
Affiliazione autori: Shanxi Univ, Collaborat Innovat Ctr Extreme Opt, Inst Theoret Phys, Taiyuan 030006, Shanxi, Peoples R China; Shanxi Univ, Collaborat Innovat Ctr Extreme Opt, Dept Phys, State Key Lab Quantum Opt & Quantum Opt Devices, Taiyuan 030006, Shanxi, Peoples R China; CNR, INO, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy; LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy
Abstract: Sensitivity bounds for a generic interferometric phase estimation problem are the shot noise and the Heisenberg limits. The shot noise is the highest sensitivity that can be reached with separable states, while the Heisenberg limit is the ultimate bound in sensitivity which can be saturated with entangled states. The scaling of these bounds with the number of particles N entering the interferometer depends on the specific Hamiltonian governing the same interferometer. In typical cases, the Hamiltonian is linear, and the shot-noise and Heisenberg limits scale with N-1/2 and with N-1, respectively. With interferometers described by generic, nonlinear Hamiltonian, the scalings with the number of particles can be rather different. Here we study the shot-noise and Heisenberg limits of Ising-like Hamiltonians in the presence of longitudinal and transverse fields, both in the nearest-neighbor and in the fully connected spin interaction cases. We provide the explicit forms of the states saturating the shot-noise and Heisenberg limits. These results can be relevant not only for precision measurement purposes but also to characterize quantum phase transitions and, more generally, the witnessing of multipartite entanglement.
Giornale/Rivista: PHYSICAL REVIEW A
Volume: 99 (2) Da Pagina: 022324-1 A: 022324-11
Parole chiavi: QUANTUM METROLOGY; LIMIT; ENTANGLEMENTDOI: 10.1103/PhysRevA.99.022324Citazioni: 4dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2022-10-02Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui