Reservoir-Engineered Mechanical Cat States with a Driven Qubit

• URL: http://arxiv.org/abs/2508.10500v1
• Date: Thu, 14 Aug 2025 10:03:29 GMT
• Title: Reservoir-Engineered Mechanical Cat States with a Driven Qubit
• Authors: M. Tahir Naseem,
• Abstract summary: Macroscopic quantum superpositions, such as mechanical Schr"odinger cat states, are central to emerging quantum technologies in sensing and bosonic error-correcting codes.<n>We propose a scheme to generate such states by coupling a nanomechanical resonator to a coherently driven two-level system.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Macroscopic quantum superpositions, such as mechanical Schr\"odinger cat states, are central to emerging quantum technologies in sensing and bosonic error-correcting codes. We propose a scheme to generate such states by coupling a nanomechanical resonator to a coherently driven two-level system via both transverse and longitudinal interactions. Driving the qubit at twice the oscillator frequency activates resonant two-phonon exchange processes, enabling coherent conversion of drive energy into phonon pairs and their dissipative stabilization. Starting from the full time-dependent Hamiltonian, we derive an effective master equation for the mechanical mode by perturbative elimination of the lossy qubit. The reduced dynamics feature engineered two-phonon loss and a coherent squeezing term, which together drive the resonator into a deterministic Schr\"odinger-cat state. Our approach requires only a single driven qubit and no auxiliary cavity, offering a scalable and experimentally accessible route to macroscopic quantum superpositions in circuit-QED and related platforms.

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