Generalized adiabatic approximation to the quantum Rabi model

Li, Zi-Min; Batchelor, Murray T.

doi:10.48550/arxiv.2104.13062

Cited by 2 publications

(3 citation statements)

References 39 publications

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“…[434,465]. More recently, similar ideas as the one behind the generalized RWA was employed in order to improve the BOA [466]. Like in [463], it was found that this generalized BOA could much more correctly capture the eigenenergies in large parameter regimes.…”

Section: Analytical Approximationsmentioning

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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Section: Analytical Approximationsmentioning

confidence: 99%

The Jaynes-Cummings model and its descendants

Larson,

Mavrogordatos

2022

Preprint

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“…This is carried out by replacing the 'topologically-inaccurate' part in the AA with its exact counterpart. This approach is referred to as the GAA [45].…”

Section: Generalized Adiabatic Approximationmentioning

confidence: 99%

“…This is achieved based on a combination of the AA [23,26] and the exact exceptional solutions [16,18] for the AQRM. This approach has been applied successfully to the QRM and is called the generalized adiabatic approximation (GAA) [45].…”

Section: Introductionmentioning

confidence: 99%

Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases

Li¹,

Ferri²,

Tilbrook³

et al. 2021

J. Phys. A: Math. Theor.

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The asymmetric quantum Rabi model (AQRM), which describes the interaction between a quantum harmonic oscillator and a biased qubit, arises naturally in circuit quantum electrodynamic circuits and devices. The existence of hidden symmetry in the AQRM leads to a rich energy landscape of conical intersections (CIs) and thus to interesting topological properties. However, current approximations to the AQRM fail to reproduce these CIs correctly. To overcome these limitations we propose a generalized adiabatic approximation (GAA) to describe the energy spectrum of the AQRM. This is achieved by combining the perturbative adiabatic approximation and the exact exceptional solutions to the AQRM. The GAA provides substantial improvement to the existing approaches and pushes the limit of the perturbative treatment into non-perturbative regimes. As a preliminary example of the application of the GAA we calculate the geometric phases around CIs associated with the AQRM.

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Generalized adiabatic approximation to the quantum Rabi model

Cited by 2 publications

References 39 publications

The Jaynes-Cummings model and its descendants

The Jaynes-Cummings model and its descendants

Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases

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