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    Magnet-free nonreciprocal frequency conversion using sequential temporal modulation: Theory and simulations

    Arya G. Pour1,2,*, Jun Ji3,†, and Linbo Shao1,2,3,‡

    • 1Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA
    • 2Virginia Tech Center for Quantum Information Science and Engineering, Blacksburg, Virginia 24061, USA
    • 3Bradley Department of Electrical and Computer Engineering, Virginia Tech, Blacksburg, Virginia 24061, USA

    • *Contact author: aryag@vt.edu
    • †Contact author: junji@vt.edu
    • ‡Contact author: shaolb@vt.edu

    Phys. Rev. A 114, 033501 – Published 1 September, 2026

    DOI: https://doi.org/10.1103/bzxj-94fh

    Abstract

    Nonreciprocal conversion is essential for protecting sources and enabling unidirectional signal routing in photonic, phononic, electronic, and quantum systems, yet conventional implementations often rely on magnetic bias that can be difficult to integrate on chip. We propose a magnet-free scheme for frequency-domain nonreciprocity based on sequential, time-gated modulation in a three-mode system. By activating interactions in a fixed temporal order, the forward and reverse frequency-conversion pathways acquire unequal dwell times in a lossy intermediate mode, producing strong nonreciprocity without requiring nonlinearities or magnetic materials. Using harmonic-balance and Dyson-Born expansions, we derive an analytical expression for the isolation ratio and show that breaking time-reversal symmetry alone is insufficient to produce isolation in this scheme: Dissipation in the intermediate mode is necessary, and the isolation is maximized at a finite loss. The resulting framework identifies how duty cycles, modulation frequency, relative delay, coupling strength, and loss control the isolation, in agreement with direct time-domain simulations. The approach is general and applicable to integrated photonic, phononic, microwave, and superconducting-circuit platforms.

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