Quantum Many-Body Dynamics of Driven-Dissipative Rydberg Polaritons

Pistorius, Tim; Kazemi, Javad; Weimer, Hendrik

doi:10.1103/physrevlett.125.263604

Cited by 14 publications

(7 citation statements)

References 39 publications

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“…Evolution of such an open many-body system is often governed by the master equation ∂ t ρ = −i[H, ρ] + Lρ, where ρ is the state of the system, H the system Hamiltonian and L is the Liouvillian superoperator (Benatti and Floreanini, 2005;Gardiner and Zoller, 2004;Manzano, 2020). Correspondingy, several aspects of driven-dissipative dynamics in Rydberg systems and dissipative Rydberg media were addressed (Bienias et al, 2020;Goldschmidt et al, 2016;Lee et al, 2015Lee et al, , 2019Lesanovsky and Garrahan, 2013;Letscher et al, 2017;Levi et al, 2016;Pistorius et al, 2020;Torlai et al, 2019).…”

Section: Mapping To Spin Modelsmentioning

confidence: 99%

Long-range interacting quantum systems

Defenu,

Donner,

Macrì

et al. 2021

Preprint

108

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The presence of non-local and long-range interactions in quantum systems induces several peculiar features in their equilibrium and out-of-equilibrium behavior. In current experimental platforms control parameters such as interaction range, temperature, density and dimension can be changed. The existence of universal scaling regimes, where diverse physical systems and observables display quantitative agreement, generates a common framework, where the efforts of different research communities can be -in some cases rigorously -connected. Still, the application of this general framework to particular experimental realisations requires the identification of the regimes where the universality phenomenon is expected to appear. In the present review we summarise the recent investigations of many-body quantum systems with long-range interactions, which are currently realised in Rydberg atom arrays, dipolar systems, trapped ion setups and cold atoms in cavity experiments. Our main aim is to present and identify the common and (mostly) universal features induced by long-range interactions in the behaviour of quantum many-body systems. We will discuss both the case of very strong non-local couplings, i.e. the non-additive regime, and the one in which energy is extensive, but nevertheless low-energy, long wavelength properties are altered with respect to the short-range limit. Cases of competition with other local effects in the above mentioned setups are also reviewed.

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Section: Mapping To Spin Modelsmentioning

confidence: 99%

Long-range interacting quantum systems

Defenu,

Donner,

Macrì

et al. 2021

Preprint

108

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“…The previously neglected interaction between the polariton leads to a strongly correlated many-body system which provides a difficult task for numerical calculation especially for large atom numbers [43].…”

Section: Rydberg Cavity Polaritonsmentioning

confidence: 99%

Variational analysis of driven-dissipative bosonic fields

Pistorius

Weimer

2021

Phys. Rev. A

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We present a method to perform a variational analysis of the quantum master equation for drivendisspative bosonic fields with arbitrary large occupation numbers. Our approach combines the P representation of the density matrix and the variational principle for open quantum system. We benchmark the method by comparing it to wave-function Monte-Carlo simulations and the solution of the Maxwell-Bloch equation for the Jaynes-Cummings model. Furthermore, we study a model describing Rydberg polaritons in a cavity field and introduce an additional set of variational paramaters to describe correlations between different modes.

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“…Theoretically, there has therefore also been focus on models that are more tractable: for example, rate equations were proposed to describe the Rydberg gas [20][21][22]; the Mandel Q parameter was studied under reversible dynamics [23] and using random sequential adsorption (RSA) processes on an Erdős-Rényi random graph (ERRG) [24]; and the physics of Rydberg atoms has e.g., been related to a nonlinear optical polarizability model [25] as well as glassy soft-matter models [26,27]. Also, ties to classical statistics can be found in related Ising models, dissipative approaches, and open quantum systems [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Modeling Rydberg gases using random sequential adsorption on random graphs

Rutten¹,

Sanders

2021

Phys. Rev. A

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Quantum Many-Body Dynamics of Driven-Dissipative Rydberg Polaritons

Cited by 14 publications

References 39 publications

Long-range interacting quantum systems

Long-range interacting quantum systems

Variational analysis of driven-dissipative bosonic fields

Modeling Rydberg gases using random sequential adsorption on random graphs

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