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Titlebook: Quantum‐Enhanced Sensing Based on Time Reversal of Entangling Interactions; Daniel Linnemann Book 2018 Springer Nature Switzerland AG 2018

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Hamiltonian of a Spin-1 Bose-Einstein Condensatemics are within the spin. We detail the collisional interactions that lead to spin exchange among three modes. For developing intuition about the dynamics induced by spin exchange the classical phase space is discussed before the quantum mechanical treatment follows. Finally, we give an overview of the employed semi-classical simulation methods.
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Interferometry Concept Within the SU(1,1) Frameworkh are used to describe spin exchange. This somewhat more formal treatment allows us to compare the nonlinear interferometry sequence to routinely employed schemes like Ramsey’s atom interferometry. While the latter constitutes a passive device, the nonlinear readout is active since spin exchange is employed for parametric amplification.
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Experimental System and Manipulation Techniquesels of Rubidium is achieved by the interplay of an applied magnetic bias field and dispersive microwave fields. Techniques to control the nonlinear coupling strength and to imprint spinor phase shifts are introduced. Finally, we give a description of our detection scheme.
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https://doi.org/10.1007/978-3-319-96008-1Quantum Metrology; Quantum-Enhanced Interferometry; Atom Interferometry; Active Atom Interferometry; Har
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Quantum-Enhanced Sensing Based on Time ReversalHaving characterized the building block of spin exchange and the nascent entangled state we now detail the interferometric sequence that arises when two periods of spin exchange are performed in sequence. In this section we study the symmetric case where initial entangling and subsequent nonlinear readout are matched in length.
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