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    Area of Science:

    • Quantum physics
    • Classical physics
    • Photonics
    • Wave phenomena

    Background:

    • Time reversal is a fundamental concept in physics, crucial for observing phenomena like the Loschmidt echo.
    • Achieving time reversal typically necessitates reversing the system's Hamiltonian, which is experimentally challenging.

    Purpose of the Study:

    • To demonstrate the observation of a Loschmidt echo for photons without reversing the Hamiltonian.
    • To explore a novel optical method for achieving time reversal in photonic systems.

    Main Methods:

    • Investigating photonic propagation in a binary waveguide lattice.
    • Implementing a sublattice exchange protocol after a specific propagation distance.
    • Analyzing Loschmidt echoes for single photon and NOON states in 1D and 2D lattices.

    Main Results:

    • A Loschmidt echo for photons was successfully observed in an optical setting.
    • The phenomenon was achieved by dynamically altering the waveguide lattice structure (sublattice exchange).
    • Demonstrated echoes for both single photons and complex NOON states.

    Conclusions:

    • The study presents a practical method for photonic time reversal using waveguide lattice manipulation.
    • This approach offers a viable alternative to traditional Hamiltonian reversal for observing Loschmidt echoes.
    • The findings have implications for quantum information processing and fundamental wave physics.