Emergent dark states from superradiant dynamics in multilevel atoms in a cavity

Orioli, A. Piñeiro; Thompson, J. K.; Rey, A. M.

doi:10.48550/arxiv.2106.00019

Cited by 4 publications

(4 citation statements)

References 113 publications

(184 reference statements)

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“…This method bypasses the exponentially growing Hilbert space required for full evolution by simplifying the problem to the statistics of the first two photons, which allows us to predict superradiance for very large arrays. Our approach may be extended to disordered atomic ensembles [42,43] (where very small inter-atomic distances are achievable), to other types of electromagnetic reservoirs, such as nanophotonic structures (by simply changing the Green's function [44][45][46][47]), and to emitters with a more complex internal or hyperfine structure [48][49][50].…”

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confidence: 99%

Universality of Dicke superradiance in arrays of quantum emitters

Masson,

Asenjo-Garcia

2021

Preprint

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Dicke superradiance, where a decaying ensemble of atoms synchronizes to emit a short intense pulse of light, was one of the first described many-body collective effects in quantum optics. While well understood in cavities or in extremely small ensembles, superradiance remains an open problem in systems of size well beyond the atomic transition wavelength. Here we show that superradiance is a universal phenomenon in ordered arrays, and will generically occur if the inter-atomic distance is small enough. We also derive a concise expression -which is applicable to arrays of any dimensionality and topology -that allows us to predict the critical distance beyond which superradiance disappears. While correlated decay is a quantum many-body phenomenon that involves an exponentially large number of degrees of freedom, this expression only grows linearly with atom number, enabling us to study very large systems. Our predictions can be tested in state of the art experiments with arrays of neutral atoms, molecules, or even solid state emitters and pave the way towards understanding the role of collective emission in quantum simulation, metrology, and lasing.

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confidence: 99%

Universality of Dicke superradiance in arrays of quantum emitters

Masson,

Asenjo-Garcia

2021

Preprint

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“…Arrays of solid-state emitters hosted in 2D materials [56][57][58] or in bulk crystals [59,60] can also be employed to explore this physics. Our theoretical methods can be applied to studies of collective emission with atoms with more complex level structure [61][62][63], and atoms coupled to other reservoirs, such as nanophotonic structures [64,65].…”

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confidence: 99%

Dicke superradiance in ordered lattices: dimensionality matters

Sierra,

Masson,

Asenjo-Garcia

2021

Preprint

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Many-body superradiance in ordered atomic arrays is a phenomenon where atomic synchronization gives rise to a burst in photon emission. This superradiant burst only occurs if there is one -or just a few -dominant decay channels. By mapping the question of whether many-body superradiance occurs into a simple algebraic equation, we demonstrate that it exists in arrays of any dimensionality, as interference in photon emission leads to the preeminence of certain channels over others. In atomic chains superradiance occurs only below a critical interatomic distance, which we derive analytically. Increasing the array dimensionality leads to a critical distance that scales with system size: sublogarithmically for 2D, and seemingly faster than that for 3D lattices. We perform calculations for both infinite and finite systems, the latter by employing a highly-efficient algorithm with a computational complexity that scales only linearly with system size, which enables us to study very large arrays. Our results provide a guide to explore this many-body phenomenon in state-of-the art experimental setups.

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“…There is also a subradiance effect where instead a decreased emission rate among the N two-level systems is found [778,797]. Recently it was demonstrated that for multilevel atom the superradiance can get hindered since there exist dark states that are insensitive to losses [798]. Such Dicke dark states are highly entangled and could thereby be of interest for various QIP schemes.…”

Section: The Dicke and Tavis-cummings Modelsmentioning

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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Emergent dark states from superradiant dynamics in multilevel atoms in a cavity

Cited by 4 publications

References 113 publications

Universality of Dicke superradiance in arrays of quantum emitters

Universality of Dicke superradiance in arrays of quantum emitters

Dicke superradiance in ordered lattices: dimensionality matters

The Jaynes-Cummings model and its descendants

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