Quantum Simulation of the Dicke-Ising Model via Digital-Analog Algorithms

• URL: http://arxiv.org/abs/2412.14285v1
• Date: Wed, 18 Dec 2024 19:28:52 GMT
• Title: Quantum Simulation of the Dicke-Ising Model via Digital-Analog Algorithms
• Authors: Dmitriy S. Shapiro, Yannik Weber, Tim Bode, Frank K. Wilhelm, Dmitry Bagrets,
• Abstract summary: We propose a digital-analog quantum simulator for the Dicke-Ising model. We analyze the system's free energy landscape using field-theoretical methods. We develop a digital-analog quantum algorithm that disentangles qubit and photon degrees of freedom.
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• Abstract: The Dicke-Ising model, one of the few paradigmatic models of matter-light interaction, exhibits a superradiant quantum phase transition above a critical coupling strength. However, in natural optical systems, its experimental validation is hindered by a "no-go theorem''. Here, we propose a digital-analog quantum simulator for this model based on an ensemble of interacting qubits coupled to a single-mode photonic resonator. We analyze the system's free energy landscape using field-theoretical methods and develop a digital-analog quantum algorithm that disentangles qubit and photon degrees of freedom through a parity-measurement protocol. This disentangling enables the emulation of a photonic Schr\"odinger cat state, which is a hallmark of the superradiant ground state in finite-size systems and can be unambiguously probed through the Wigner tomography of the resonator's field.

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