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تسجيل مستخدم جديدPerpetual emulation threshold of PT-symmetric Hamiltonians
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We describe a technique to emulate a two-level PT-symmetric spin Hamiltonian, replete with gain and loss, using only the unitary dynamics of a larger quantum system. This we achieve by embedding the two-level system in question in a subspace of a four-level Hamiltonian. Using an textit{amplitude recycling} scheme that couples the levels exterior to the PT-symmetric subspace, we show that it is possible to emulate the desired behaviour of the PT-symmetric Hamiltonian without depleting the exterior, reservoir levels. We are thus able to extend the emulation time indefinitely, despite the non-unitary PT dynamics. We propose a realistic experimental implementation using dynamically decoupled magnetic sublevels of ultracold atoms.
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