Perpetual emulation threshold of PT-symmetric Hamiltonians
Ian B. Spielman, Clive Emary, Dimitris Trypogeorgos, Ana Vald?s-Curiel
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 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.
, Emary, C.
, Trypogeorgos, D.
and Vald?s-Curiel, A.
Perpetual emulation threshold of PT-symmetric Hamiltonians, New Journal of Physics, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=925744
(Accessed October 3, 2023)