Classical Stückelberg interferometry of a nanomechanical two-mode system at room temperature

Abstract

The transition from classical to quantum mechanics has intrigued scientists in the past and remains one of the most fundamental conceptual challenges in state-of-the-art physics. Beyond the quantum mechanical correspondence principle, quantum-classical analogies have attracted considerable interest. In this work, we present classical two-mode interference for a nanomechanical two-mode system, realizing classical Stückelberg interferometry. In the past, Stückelberg interferometry has been investigated exclusively in quantum mechanical two-level systems. Here, we experimentally demonstrate a classical analog of Stückelberg interferometry taking advantage of coherent energy exchange between two-strongly coupled, high quality factor nanomechanical resonator modes. Furthermore, we provide an exact theoretical solution for the double passage Stückelberg problem which reveals the analogy of the return probabilities in the quantum mechanical and the classical version of the problem. This result qualifies classical two-mode systems at large as a testbed for quantum mechanical interferometry.

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• Landau-Zener-Stückelberg interference in a multimode electromechanical system in the quantum regime
• Frequency control and coherent excitation transfer in a nanostring resonator network
• Coherent two-mode dynamics of a nanowire force sensor
• Finite time Stückelberg interferometry with nanomechanical modes
• Geometric energy transfer in a Stückelberg interferometer of two parametrically coupled mechanical modes
• Tunable RKKY interaction in a double quantum dot nanoelectromechanical device
• Imaging nanomechanical vibrations and manipulating parametric mode coupling via scanning microwave microscopy
• Coulomb coupling between two nanospheres trapped in a bichromatic optical tweezer
• Visualized Wave Mechanics by Coupled Macroscopic Pendula: Classical Analogue to Driven Quantum Bits
• Fluctuating parametric drive of coupled classical oscillators can simulate dissipative qubits