Population inversion and entanglement in single and double glassy Jaynes-Cummings models

Ghoshal, Ahana; Das, Sreetama; SenDe, Aditi; Sen, Ujjwal

doi:10.1103/physreva.101.053805

Cited by 15 publications

(7 citation statements)

References 44 publications

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“…Such noise results also in an exponential suppression of the revivals [320,321]. The same type of behaviour of the inversion is also found in the JC model with quenched disorder [322]. By quenched disorder we mean that in an experiment some parameter, here the coupling g, varies from one experimental run to the next, and as one average over realizations one finds a damping of the revivals.…”

Section: J J=1supporting

confidence: 60%

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: J J=1supporting

confidence: 60%

The Jaynes-Cummings model and its descendants

Larson,

Mavrogordatos

2022

Preprint

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“…As a final remark, the fact that disorder induces dephasing between members of an ensemble-and thus leads to effective open-system evolution equations even in the absence of a heat bath-is long known; in particular for special single-body cases such as classical disordered dipoles and harmonic oscillators [130] or single atoms coupled to a photon field [135]. Here, our aim was the derivation of a general framework for quantum many-body…”

Section: Dissipative Ensemble Dynamicsmentioning

confidence: 99%

Universal equilibration dynamics of the Sachdev-Ye-Kitaev model

Bandyopadhyay¹,

Uhrich²,

Paviglianiti³

et al. 2021

Preprint

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Equilibrium quantum many-body systems in the vicinity of phase transitions generically manifest universality. In contrast, limited knowledge has been gained on possible universal characteristics in the non-equilibrium evolution of systems in quantum critical phases. Here, we present such a universal feature in the equilibration dynamics of the Sachdev-Ye-Kitaev (SYK) Hamiltonian-a paradigmatic system of disordered, all-to-all interacting fermions that has been designed as a phenomenological description of quantum critical regions. We drive the system far away from equilibrium by performing a global quench, and track how its ensemble average relaxes to a steady state. Employing state-ofthe-art numerical simulations for the exact evolution, we reveal that the disorder-averaged evolution of few-body observables, including the quantum Fisher information (QFI) and low-order moments of local operators, exhibit within numerical resolution a universal equilibration process. Under a straightforward rescaling, data that correspond to different initial states collapse onto a universal curve, which can be well approximated by a Gaussian throughout large parts of the evolution. To reveal the physics behind this process, we formulate a general theoretical framework based on the Novikov-Furutsu theorem. This framework extracts the disorder-averaged dynamics of a many-body system as an effective dissipative evolution, and can have applications beyond this work. The exact non-Markovian evolution of the SYK ensemble is very well captured by Bourret-Markov approximations, which contrary to common lore become justified thanks to the extreme chaoticity of the system, and universality is revealed in a spectral analysis of the corresponding Liouvillian. We expect our findings to shed light on challenging questions for quantum systems far from equilibrium, such as thermalization and equilibration of closed and disordered quantum many-body systems, and to stimulate further studies on out-of-equilibrium universality.

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“…It was found that atom-atom entanglement either oscillated periodically or exhibited collapse and revival phenomenon depending upon initial atomic entangled state [1]. After this initial study, several authors have extended this simple model to study quantum correlations of atomic systems or of field states or for various partitions of double or triple JC-systems [2][3][4][5][6][7]. In a recent work [6], the authors have studied multipartite concurrence for triple JC model.…”

Section: Introductionmentioning

confidence: 99%

Genuinely entangling uncorrelated atoms via Jaynes–Cummings interactions

Ali

2021

Quantum Inf Process

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We study three independent pairs of Jaynes-Cummings systems such that two atoms might be correlated with each other but the third atom is uncorrelated with rest. We investigate the conditions under which these uncorrelated three atoms may become genuinely entangled. We find that this task is impossible if the cavity interacting with uncorrelated atom share classical correlations with any other cavity. We observe that atomic state can become genuine multipartite entangled, at least if the cavity with uncorrelated atom, is highly entangled with any other cavity. This is an interesting and non-trivial observation and may serve as another technique to generate multipartite entangled atoms via JC-interactions.

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Population inversion and entanglement in single and double glassy Jaynes-Cummings models

Cited by 15 publications

References 44 publications

The Jaynes-Cummings model and its descendants

The Jaynes-Cummings model and its descendants

Universal equilibration dynamics of the Sachdev-Ye-Kitaev model

Genuinely entangling uncorrelated atoms via Jaynes–Cummings interactions

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