Absence of collapse in quantum Rabi oscillations

He, Song; Zhao, Yue; Chen, Qing-Hu

doi:10.1103/physreva.90.053848

Cited by 20 publications

(11 citation statements)

References 54 publications

(82 reference statements)

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“…In this case, the CRT cannot be neglected. Consequently, many interesting effects induced by CRT appear in these regimes [18][19][20][21][22][23][24][25][26][27][28][29] . The implementations of QRM in USC and DSC regimes have also motivated new applications to the quantum information processing [30][31][32][33][34][35] .…”

Section: Introductionmentioning

confidence: 99%

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Wang

Xiao

et al. 2019

Sci Rep

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Multi-qubit quantum Rabi model, which is a fundamental model describing light-matter interaction, plays an important role in various physical systems. In this paper, we propose a theoretical method to simulate multi-qubit quantum Rabi model in a circuit quantum electrodynamics system. By means of external transversal and longitudinal driving fields, an effective Hamiltonian describing the multi-qubit quantum Rabi model is derived. The effective frequency of the resonator and the effective splitting of the qubits depend on the external driving fields. By adjusting the frequencies and the amplitudes of the driving fields, the stronger coupling regimes could be reached. The numerical simulation shows that our proposal works well in a wide range of parameter space. Moreover, our scheme can be utilized to generate two-qubit gate, Schrödinger states, and multi-qubit GHZ states. The maximum displacement of the Schrödinger cat states can be enhanced by increasing the number of the qubits and the relative coupling strength. It should be mention that we can obtain high fidelity Schrödinger cat states and multi-qubit GHZ states even the system suffering dissipation. The presented proposal may open a way to study the stronger coupling regimes whose coupling strength is far away from ultrastrong coupling regimes.

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Section: Introductionmentioning

confidence: 99%

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Wang

Xiao

et al. 2019

Sci Rep

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“…The long time properties with and without CRT's will be further discussed in the following subsections. The influence of the CRT's were also considered in terms of collapse-revivals [130,448,449] (where the first corrections appear as a rapid superimposed oscillation on top of the JC collapse-revival pattern [130,450], and see also [451] were it was proposed how the importance of the counter-rotating terms can be enhanced by a periodic driving of the two-level system), the photon blockade [84], and on atom-field entanglement [452]. Entanglement properties between two [453][454][455] and three [456] atoms have also been explored with the CRT's present.…”

Section: Effect Of Counter Rotating Terms the Ultrastrong Coupling Re...mentioning

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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“…Например, в работе [10] предложено аналитическое преобразование, придающее H JC такой же вид, как в случае ПВВ, с некоторой ошибкой, возникающей при отбрасывании третьей степени параметра γ, что при γ ≈ 0.1 является более точным, чем ПВВ, приближением. Модель ДК вне рамок ПВВ также исследовалась в работах [11]- [13].…”

Section: ) формально это следует из формулы λunclassified

Quantum revivals of non Rabi type in Jaynes-Cummings model

Ожигов¹,

Ozhigov²,

Skovoroda³

et al. 2016

TMF

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Изучаются полные возрождения (т. е. повторные появления в ходе унитарной эволюции) квантовых состояний в модели Джейнса-Каммингса в рамках приближения вращающейся волны. Доказано, что в случае нулевой расстройки в подпространствах, порожденных двумя смежными парами уровней энергии, полные возрождения не имеют места ни при каких значениях параметров. В случае ненулевой расстройки, напротив, множество параметров, допускающих полное возрождение, всюду плотно в множестве всех параметров. Природа данных возрождений отличается от рабиевских осцилляций для одной пары уровней энергии. В более сложных подпространствах проблема существования полного возрождения сводится к частным случаям десятой проблемы Гильберта для рациональных решений систем нелинейных алгебраических уравнений, которая в общем случае не имеет алгоритмического решения. Нерабиевские возрождения становятся частичными в случае отказа от приближения вращающейся волны.

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Absence of collapse in quantum Rabi oscillations

Cited by 20 publications

References 54 publications

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System

The Jaynes-Cummings model and its descendants

Quantum revivals of non Rabi type in Jaynes-Cummings model

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