Cold Rydberg gases and ultra-cold plasmas

Pohl, Thomas; Adams, Charles S.; Sadephpour, H. R.

doi:10.1088/0953-4075/44/18/180201

Cited by 26 publications

(24 citation statements)

References 197 publications

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“…The powerful tools of field theory used in this paper can be employed to study a range of interesting, and experimentally relevant, long-range interacting systems [16,[53][54][55][56], such as a huge variety of spin-1/2 [57][58][59][60], spin-1 [41,61,62], and higher-spin [63,64] models, generalized Hubbard [63,65,66] and t-J models [58,59], and spin-boson problems [67], among many others, in one or more spatial dimensions. In general, these models exhibit new universal behavior not captured by standard long-range interacting classical models, since the quantum-to-classical mapping generates classical models with long-range interactions in all spatial directions except the one corresponding to the imaginary time dimension of the quantum model [39].…”

Section: Discussionmentioning

confidence: 99%

Causality and quantum criticality in long-range lattice models

et al. 2016

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Long-range quantum lattice systems often exhibit drastically different behavior than their shortrange counterparts. In particular, because they do not satisfy the conditions for the Lieb-Robinson theorem, they need not have an emergent relativistic structure in the form of a light cone. Adopting a field-theoretic approach, we study the one-dimensional transverse-field Ising model with long-range interactions, and a fermionic model with long-range hopping and pairing terms, explore their critical and near-critical behavior, and characterize their response to local perturbations. We deduce the dynamic critical exponent, up to the two-loop order within the renormalization group theory, which we then use to characterize the emergent causal behavior. We show that beyond a critical value of the power-law exponent of the long-range couplings, the dynamics effectively becomes relativistic. Various other critical exponents describing correlations in the ground state, as well as deviations from a linear causal cone, are deduced for a wide range of the power-law exponent.

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Section: Discussionmentioning

confidence: 99%

Causality and quantum criticality in long-range lattice models

et al. 2016

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“…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.…”

mentioning

confidence: 99%

“…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.…”

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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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“…The next step in our research work will be the preparation of ultra-cold Rydberg atoms and plasma in order to study possible spatial structures. Recently crystallization processes in an ensemble of Rydberg atoms has attracted a vivid interest of scientific society [20,21].…”

Section: Discussionmentioning

confidence: 99%

Magneto-Optical Trap for Preparation and Study of Rydberg Matter

Zelener¹,

Saakyan²,

Sautenkov³

et al. 2015

Coherent Phenomena

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Our goal is the preparation and study of ultracold plasma and Rydberg matter. We assembled an experimental setup for laser cooling of lithium atoms in a magneto-optical trap (MOT). Trapping of 7 Li atoms in a MOT is demonstrated for a wide range of cooling laser detunings. The number density of 7 Li atoms at different ground-state sublevels is measured by using a probe tunable laser. The temperature of the trapped atoms is estimated. Obtained information is important for the preparation of ultra-cold plasma and highly-excited atoms.

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Cold Rydberg gases and ultra-cold plasmas

Abstract: We briefly highlight recent developments in the complementary fields of cold Rydberg gases and ultra-cold plasmas and provide a short overview of the articles in this special issue.

Cited by 26 publications

References 197 publications

Causality and quantum criticality in long-range lattice models

Causality and quantum criticality in long-range lattice models

Dissipative Many-Body Quantum Optics in Rydberg Media

Magneto-Optical Trap for Preparation and Study of Rydberg Matter

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