Digital-Analog Simulations of Schrödinger Cat States in the Dicke-Ising Model
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911210217144320 |
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| author | Shapiro, Dmitriy S. Weber, Yannik Bode, Tim Wilhelm, Frank K. Bagrets, Dmitry |
| author_facet | Shapiro, Dmitriy S. Weber, Yannik Bode, Tim Wilhelm, Frank K. Bagrets, Dmitry |
| contents | 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 Schrödinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14285 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Digital-Analog Simulations of Schrödinger Cat States in the Dicke-Ising Model Shapiro, Dmitriy S. Weber, Yannik Bode, Tim Wilhelm, Frank K. Bagrets, Dmitry Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics 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 Schrödinger 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. |
| title | Digital-Analog Simulations of Schrödinger Cat States in the Dicke-Ising Model |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2412.14285 |