A digital quantum simulation of the Agassi model

Pérez-Fernández, Pedro; Arias, José Miguel; García-Ramos, José Enrique; Lamata, Lucas

doi:10.48550/arxiv.2105.02834

Cited by 1 publication

(1 citation statement)

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“…where the subscript j denotes the site, and ĉj /ĉ † j are the annihilation/creation operators of a spinless fermion at site j. This mapping allows for simulations of fermionic systems with trapped ions possessing a pseudo spin-1/2 degree of freedom [1301,[1322][1323][1324][1325][1326][1327]. The general idea is to derive effective models of the trapped-ion system which in return describe known Hamiltonians of interacting fermions, e.g.…”

Section: Further Aspects and Perspectivesmentioning

confidence: 99%

The Jaynes-Cummings model and its descendants

Larson,

Mavrogordatos

2022

Preprint

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The Jaynes-Cummings (JC) model has been at the forefront of quantum optics for almost six decades to date, providing one of the simplest yet intricately nonlinear formulations of light-matter interaction in modern physics. Laying most of the emphasis to the omnipresence of the model across a range of disciplines, this monograph brings up the fundamental generality of its formalism, looking at a wide gamut of applications in specific physical systems among several realms, including atomic physics, quantum optics, solid-state physics and quantum information science. When bringing the various pieces together to assemble our narrative, we have primarily targeted researchers in quantum physics and quantum optics. The monograph also comprises an accessible introduction for graduate students engaged with non-equilibrium quantum phase transitions, quantum computing and simulation, and quantum many-body physics. In that framework, we aim to reveal the common ground between physics and applications scattered across literature and different technological advancements. The exposition guides the reader through a vibrant field interlacing quantum optics and condensed-matter physics. All sections are devoted to the strong interconnection between theory and experiment, historically linked to the development of the various modern research directions stemming from JC physics. This is accompanied by a comprehensive list of references to the key publications that have shaped its evolution since the early 1960s. Finally, we have endeavoured to keep the presentation of such a multi-sided material as concise as possible, interspersing continuous text with various illustrations alongside an economical use of mathematical expressions.

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