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Autores principales: Yan, Yiying, Lü, Zhiguo, Luo, JunYan
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2407.12228
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author Yan, Yiying
Lü, Zhiguo
Luo, JunYan
author_facet Yan, Yiying
Lü, Zhiguo
Luo, JunYan
contents We present a time-dependent variational approach with the multiple Davydov $D_2$ trial state to simulate the dynamics of light-matter systems when the field is in a coherent state with an arbitrary finite mean photon number. The variational approach captures not only the system dynamics but also the field dynamics and is applicable to a variety of quantum models of light-matter interaction such as the Jaynes-Cummings model, Rabi model, and Dicke model, and is feasible to tackle the multimode quantized fields. By comparison of the variational and semiclassical dynamics of both the system and field, we illustrate that the variational dynamics from the quantum models agrees with those from the corresponding semiclassical models as long as the mean number of photons is sufficiently large. Moreover, we illustrate that in the crossover between the quantum and semiclassical limits, the quantum corrections lead to the collapse of the oscillations in dynamics, which is absent in the semiclassical models. The variational approach provides a unified treatment of light-matter interaction from the quantum to the semiclassical limit.
format Preprint
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institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Variational approach to light-matter interaction: Bridging quantum and semiclassical limits
Yan, Yiying
Lü, Zhiguo
Luo, JunYan
Quantum Physics
We present a time-dependent variational approach with the multiple Davydov $D_2$ trial state to simulate the dynamics of light-matter systems when the field is in a coherent state with an arbitrary finite mean photon number. The variational approach captures not only the system dynamics but also the field dynamics and is applicable to a variety of quantum models of light-matter interaction such as the Jaynes-Cummings model, Rabi model, and Dicke model, and is feasible to tackle the multimode quantized fields. By comparison of the variational and semiclassical dynamics of both the system and field, we illustrate that the variational dynamics from the quantum models agrees with those from the corresponding semiclassical models as long as the mean number of photons is sufficiently large. Moreover, we illustrate that in the crossover between the quantum and semiclassical limits, the quantum corrections lead to the collapse of the oscillations in dynamics, which is absent in the semiclassical models. The variational approach provides a unified treatment of light-matter interaction from the quantum to the semiclassical limit.
title Variational approach to light-matter interaction: Bridging quantum and semiclassical limits
topic Quantum Physics
url https://arxiv.org/abs/2407.12228