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Бетеров, И. И.; Ryabtsev, I. I.; Tretyakov, D. B.; Энтин, В. М.

doi:10.1103/physreva.80.059902

Cited by 122 publications

(199 citation statements)

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“…The lifetimes of the p 3/2 states increase by about a factor of four in a 4K He cryostat [41], which would result in a reduction of the gate error by a factor of ∼ 2.5 to a level below 10 −3 . Even lower error levels could in principle be reached using circular Rydberg states that have orders of magnitude longer lifetimes, although there are serious technical challenges connected with high fidelity excitation and de-excitation of these states.…”

Section: Discussionmentioning

confidence: 99%

Fidelity of a Rydberg-blockade quantum gate from simulated quantum process tomography

et al. 2012

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We present a detailed error analysis of a Rydberg blockade mediated controlled-NOT quantum gate between two neutral atoms as demonstrated recently in Phys. Rev. Lett. 104, 010503 (2010) and Phys. Rev. A 82, 030306 (2010). Numerical solutions of a master equation for the gate dynamics, including all known sources of technical error, are shown to be in good agreement with experiments. The primary sources of gate error are identified and suggestions given for future improvements. We also present numerical simulations of quantum process tomography to find the intrinsic fidelity, neglecting technical errors, of a Rydberg blockade controlled phase gate. The gate fidelity is characterized using trace overlap and trace distance measures. We show that the trace distance is linearly sensitive to errors arising from the finite Rydberg blockade shift and introduce a modified pulse sequence which corrects the linear errors. Our analysis shows that the intrinsic gate error extracted from simulated quantum process tomography can be under 0.002 for specific states of 87 Rb or Cs atoms. The relation between the process fidelity and the gate error probability used in calculations of fault tolerance thresholds is discussed.

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Section: Discussionmentioning

confidence: 99%

Fidelity of a Rydberg-blockade quantum gate from simulated quantum process tomography

et al. 2012

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“…The lifetime of Sr(5sns 1 S 0 ) Rydberg states due to spontaneous decay and black body radiation has been measured for low and moderate n in [36,37,30]. In order to estimate lifetimes of higher excited states we have fitted this data to the expected behaviour at large effective principal quantum numbers n ⋆ [38] …”

Section: Decay and Loss Mechanismsmentioning

confidence: 99%

Many-body physics with alkaline-earth Rydberg lattices

Mukherjee

Millen

Nath

et al. 2011

J. Phys. B: At. Mol. Opt. Phys.

110

121

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Abstract. We explore the prospects for confining alkaline-earth Rydberg atoms in an optical lattice via optical dressing of the secondary core valence electron. Focussing on the particular case of strontium, we identify experimentally accessible magic wavelengths for simultaneous trapping of ground and Rydberg states. A detailed analysis of relevant loss mechanisms shows that the overall lifetime of such a system is limited only by the spontaneous decay of the Rydberg state, and is not significantly affected by photoionization or autoionization. The van der Waals C 6 coefficients for the Sr(5sns 1 S 0 ) Rydberg series are calculated, and we find that the interactions are attractive. Finally we show that the combination of magic-wavelength lattices and attractive interactions could be exploited to generate many-body Greenberger-HorneZeilinger (GHZ) states.

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“…The lifetime of the ns 1/2 and np 3/2 states at temperature T = 300K and for n = 70 is T s ≈ 151.6 µs and T p ≈ 191.3 µs, respectively [66]. Note that these values take into account the lifetime reduction due to blackbody radiation.…”

Section: Appendix B: Rubidium Parametersmentioning

confidence: 99%

Topological spin models in Rydberg lattices

2017

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control and observe atoms with single-site resolution [7][8][9][10][11][12] which makes dynamical phenomena experimentally accessible in these systems. One promising perspective is to use this set-up for investigating the rich physics of quantum magnetism [13][14][15] and strongly correlated spin systems that are extremely challenging to simulate on a classical computer. However, the simulation of magnetic phenomena with cold atoms faces two key challenges. First, neutral atoms do not experience a Lorentz force in an external magnetic field. In order to circumvent this problem, tremendous effort has been made to create artificial gauge fields for neutral atoms [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. For example, artificial magnetic fields allow one to investigate the integer [33] and fractional quantum Hall effects [27][28][29] with cold atoms, and the experimental realization of the topological Haldane model was achieved in Ref. [30]. Second, cold atoms typically interact via weak contact interactions. Spin systems with strong and long-range interactions can be achieved by admixing van der Waals interactions between Rydberg states [34,35] or by replacing atoms with dipoledipole interacting polar molecules [36][37][38]. In particular, it has been shown that the dipole-dipole interaction can give rise to topological flat bands [39,40] and fractional Chern insulators [41]. The creation of bands with Chern number C = 2 via resonant exchange interactions between polar molecules has been explored in Ref. [40].Recently, an alternative and very promising platform for the simulation of strongly correlated spin systems has emerged [42]. Here resonant dipole-dipole interactions between Rydberg atoms [43] enable quantum simulations of spin systems at completely different length scales compared with polar molecules. For example, the experiment in Ref. [42] demonstrated the realization of the XY Hamiltonian for a chain of atoms and with a lattice spacing of the order of 20 µm. At these length scales, light modulators Abstract We show that resonant dipole-dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole-dipole coupling between np and ns Rydberg states and derive an effective spin-1/2 Hamiltonian for the np excitations. By breaking time-reversal symmetry via external fields, we engineer complex hopping amplitudes for transitions between two rectangular sublattices. The phase of these hopping amplitudes depends on the direction of the hop. This gives rise to a staggered, artificial magnetic field which induces non-trivial topological effects. We calculate the single-particle band structure and investigate its Chern numbers as a function of the lattice parameters and the detuning between the two sub-lattices. We identify extended parameter regimes where the Chern number of the lowest band is C = 1 or C = 2.

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Erratum: Quasiclassical calculations of blackbody-radiation-induced depopulation rates and effective lifetimes of RydbergnS,nP, andn

Abstract: Erratum: Quasiclassical calculations of blackbody-radiation-induced depopulation rates and effective lifetimes of Rydberg nS, nP, and nD alkali-metal atoms with n Ï 80 [Phys. Rev. A 79, 052504 (2009)]

Cited by 122 publications

References 0 publications

Fidelity of a Rydberg-blockade quantum gate from simulated quantum process tomography

Fidelity of a Rydberg-blockade quantum gate from simulated quantum process tomography

Many-body physics with alkaline-earth Rydberg lattices

Topological spin models in Rydberg lattices

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