Photonic quantum simulations of coupled $PT$-symmetric Hamiltonians

• URL: http://arxiv.org/abs/2202.00358v1
• Date: Tue, 1 Feb 2022 11:54:10 GMT
• Title: Photonic quantum simulations of coupled $PT$-symmetric Hamiltonians
• Authors: Nicola Maraviglia, Patrick Yard, Ross Wakefield, Jacques Carolan, Chris Sparrow, Levon Chakhmakhchyan, Chris Harrold, Toshikazu Hashimoto, Nobuyuki Matsuda, Andrew K. Harter, Yogesh N. Joglekar, Anthony Laing
• Abstract summary: We use a programmable integrated photonic chip to simulate a model comprised of twin pairs of $PT$-symmetric Hamiltonians, with each the time reverse of its twin. We simulate quantum dynamics across exceptional points including two- and three-particle interference, and a particle-trembling behaviour that arises due to interference between subsystems undergoing time-reversed evolutions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Parity-time ($PT$) symmetric Hamiltonians are generally non-Hermitian and give rise to exotic behaviour in quantum systems at exceptional points, where eigenvectors coalesce. The recent realisation of $PT$-symmetric Hamiltonians in quantum systems has ignited efforts to simulate and investigate many-particle quantum systems across exceptional points. Here we use a programmable integrated photonic chip to simulate a model comprised of twin pairs of $PT$-symmetric Hamiltonians, with each the time reverse of its twin. We simulate quantum dynamics across exceptional points including two- and three-particle interference, and a particle-trembling behaviour that arises due to interference between subsystems undergoing time-reversed evolutions. These results show how programmable quantum simulators can be used to investigate foundational questions in quantum mechanics.

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