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Perpetual emulation threshold of PT -symmetric Hamiltonians

Lookup NU author(s): Dr Clive Emary

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Abstract

We describe a technique to emulate the dynamics of two-level -symmetric spin Hamiltonians, replete with gain and loss, using the unitary dynamics of a larger quantum system. The two-level system in question is embedded in a subspace of a four-level Hamiltonian, with the exterior levels acting as reservoirs. The emulation time is normally finite, limited by the depletion of the reservoirs. We show that it is possible to emulate the desired behaviour of the -symmetric Hamiltonian without depleting the reservoir levels, by including an additional coupling between them. This extends the emulation time indefinitely, when in the unbroken symmetry phase of the non-unitary dynamics. We propose a realistic experimental implementation using dynamically decoupled magnetic sublevels of ultracold atoms.


Publication metadata

Author(s): Trypogeorgos D, Valdés-Curiel A, Spielman IB, Emary C

Publication type: Article

Publication status: Published

Journal: Journal of Physics A: Mathematical and Theoretical

Year: 2018

Volume: 51

Pages: 325302

Print publication date: 29/06/2018

Online publication date: 13/06/2018

Acceptance date: 13/06/2018

Date deposited: 12/07/2018

ISSN (print): 1751-8113

ISSN (electronic): 1751-8121

Publisher: IOP

URL: https://doi.org/10.1088/1751-8121/aacc5e

DOI: 10.1088/1751-8121/aacc5e


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