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

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 prop...

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Bibliographic Details
Published in:arXiv.org 2024-12
Main Authors: Shapiro, Dmitriy S, Weber, Yannik, Bode, Tim, Wilhelm, Frank K, Bagrets, Dmitry
Format: Article
Language:English
Subjects:
Algorithms
Coupled modes
Free energy
Ising model
Phase transitions
Photonics
Qubits (quantum computing)
Resonators
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Summary: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.
ISSN:2331-8422