Spatiotemporal dynamics of quantum jumps with Rydberg atoms

Lee, Tony E.; Cross, M. C.

doi:10.1103/physreva.85.063822

Cited by 18 publications

(12 citation statements)

References 44 publications

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“…The dissipative case has been recently studied via a mean-field approach [41][42][43], numerical calculations in one dimension [44][45][46] and an approximate rate equation description in higher dimensions [33,[47][48][49]. These investigations highlighted the presence of various stationary regimes and the existence of first and second order phase transitions.…”

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confidence: 99%

Universal Nonequilibrium Properties of Dissipative Rydberg Gases

et al. 2014

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We investigate the out-of-equilibrium behavior of a dissipative gas of Rydberg atoms that features a dynamical transition between two stationary states characterized by different excitation densities. We determine the structure and properties of the phase diagram and identify the universality class of the transition, both for the statics and the dynamics. We show that the proper dynamical order parameter is in fact not the excitation density and find evidence that the dynamical transition is in the "model A" universality class; i.e., it features a nontrivial Z2 symmetry and a dynamics with nonconserved order parameter. This sheds light on some relevant and observable aspects of dynamical transitions in Rydberg gases. In particular it permits a quantitative understanding of a recent experiment [C. Carr, Phys. Rev. Lett. 111, 113901 (2013)] which observed bistable behavior as well as power-law scaling of the relaxation time. The latter emerges not due to critical slowing down in the vicinity of a second order transition, but from the nonequilibrium dynamics near a so-called spinodal line.

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confidence: 99%

Universal Nonequilibrium Properties of Dissipative Rydberg Gases

et al. 2014

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“…Outlook.-In conclusion, we extended the dynamics of open quantum systems of Rydberg atoms [66][67][68][69][70][71][72][73][74][75] to include the dissipative quantum dynamics of the propagating light field, which is crucial for the understanding of recent experiments [13,14]. While we focused on the case z b > L p , the developed framework also applies to the opposite regime [13,14] and may lead to a quantitative description of the saturation behavior in Ref.…”

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confidence: 99%

Dissipative Many-Body Quantum Optics in Rydberg Media

2013

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We develop a theoretical framework for the dissipative propagation of quantized light under conditions of electromagnetically induced transparency in atomic media involving strongly interacting Rydberg states. The theory allows us to determine the peculiar spatiotemporal structure of the output of the recently demonstrated single-photon filter and the recently proposed single-photon subtractor, which, respectively, let through and absorb a single photon. In addition to being crucial for applications of these and other optical quantum devices, the theory opens the door to the study of exotic dissipative many-body dynamics of strongly interacting photons in nonlinear nonlocal media. DOI: 10.1103/PhysRevLett.110.153601 PACS numbers: 42.50.Nn, 32.80.Ee, 34.20.Cf, 42.50.Gy Dissipation has recently been recognized as a powerful tool for quantum information and many-body physics [1][2][3][4][5][6][7][8][9][10][11]. A particular example, realized in recent experiments [12][13][14], is the propagation of quantized light fields in Rydberg media [15][16][17][18] under the conditions of electromagnetically induced transparency (EIT) [19]. While Rydberg states provide strong long-range atom-atom interactions, EIT provides strong atom-light interactions with controlled dissipation. The resulting combination gives rise to strong and often dissipative photon-photon interactions [20][21][22][23], which can be used to generate a variety of nonclassical states of light [12][13][14][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] and to implement photon-photon and atom-photon quantum gates [21,23,39,40]. The first wave-function-based descriptions of two-photon propagation in Rydbeg EIT media have revealed the emergence of correlated two-photon losses that could enable the deterministic generation of single photons [13,21]. Yet, the fate of the remaining photon as well as the underlying dissipative many-body dynamics have remained unclear despite their essential role in the performance of future Rydberg-EIT-based nonlinear optical quantum devices.In this Letter, we address these outstanding questions and develop a theory for the dissipative many-body dynamics of quantized light fields in a strongly interacting medium. In contrast to earlier studies [13,21], our theory provides information about the many-body density matrix of the light field; i.e., it faithfully describes the process of populating the m-photon states from the (m þ 1)-photon manifold as a photon scatters. In addition to opening the door to the study of photonic dissipative many-body physics, the theory allows one to compute the complex spatiotemporal structure of the generated nonclassical light fields, whose understanding is crucial for applications. As two important examples that illustrate this point and evince the power of our method, we consider the recently demonstrated single-photon filter [13,21] and the recently proposed single-photon subtractor [26]. In the limit of strong interactions, our approach yields exact solutions to the dissipative ...

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“…For Ω r Ω 2 e /γ e , one of the eigenvalues of H eff , exactly λ 3 in Eq. (49), has a much less negative imaginary part with respect to the other two, |Im{λ 3 }| |Im{λ 1 }|, |Im{λ 2 }| [99]. This determines long tails in the delay function…”

Section: Quantum Trajectories Of a V-shaped Three-level Atommentioning

confidence: 99%

“…where λ n and |u n are the eigenvalues and associated eigenvectors of H eff , respectively [99]. The coefficients c n can be determined from the initial condition, e.g.…”

Section: A Single-atom In the V-configurationmentioning

confidence: 99%

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Exotic quantum clusters and non-equilibrium dynamics of Rydberg excitations in one-dimensional optical lattices

Mattioli

2016

Eur. Phys. J. Spec. Top.

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Abstract. In this mini-review, we report results from M. Mattioli, et al. [Phys. Rev. Lett. 111, 165302 (2013)], M. Dalmonte, et al. [Phys. Rev. B 92, 045106 (2015)] and M. Mattioli, et al. [New J. Phys. 17, 113039 (2015)], where it is shown that Rydberg atoms trapped in one-dimensional optical lattices are a useful tool to investigate the equilibrium phase diagram and the non-equilibrium dynamics of extended Hubbard models and Kinetically Constrained Models, respectively. Atoms weakly-dressed to an high-lying Rydberg state, which interact with a constant potential extended over several lattice sites, can be in an exotic quantum liquid state, the cluster Luttinger liquid phase [42,43]. Furthermore, we show how a many-body model of interacting three-level atoms in the V-shaped configuration, where one of the level is a Rydberg state, might relax to equilibrium according to the same rules, so-called kinetic constraints, which are known to reproduce the characteristic dynamical arrest and separation of timescales of real glass-forming materials [62].

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Spatiotemporal dynamics of quantum jumps with Rydberg atoms

Cited by 18 publications

References 44 publications

Universal Nonequilibrium Properties of Dissipative Rydberg Gases

Universal Nonequilibrium Properties of Dissipative Rydberg Gases

Dissipative Many-Body Quantum Optics in Rydberg Media

Exotic quantum clusters and non-equilibrium dynamics of Rydberg excitations in one-dimensional optical lattices

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