The Rydberg atom in time-dependent homogeneous electric and magnetic fields

Kazansky, A K; Ostrovsky, V N

doi:10.1088/0953-4075/29/24/001

Cited by 30 publications

(62 citation statements)

References 15 publications

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“…for the 23 Na F = 1 system. Our simulations have also demonstrated that the multistate Landau-Zener model [22][23][24] can predict the basic wave packet dynamics of the evaporation process correctly. This multistate model can be given a simple analytic solution only when we have equal energy differences between subsequent states and the sequential couplings given in Eq.…”

Section: Discussionmentioning

confidence: 54%

“…This model does not contain all aspects of atomic dynamics during evaporation such as the rethermalization, but does demonstrate adequately the possibility of nonadiabatic transitions and the prospects for harmful inelastic atomic collisions in the trap. It has been proposed that a Landau-Zener model can be used for a semiclassical study of the evaporation as well [14] and we will show that a multistate version of the Landau-Zener model [22][23][24] describes our wave packet dynamics rather well. This allows one to extrapolate some of our results into a much larger parameter space than we have covered with our wave packet analysis.…”

Section: Introductionmentioning

confidence: 71%

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Nonadiabatic dynamics in evaporative cooling of trapped atoms by a radio-frequency field

1998

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Magnetically trapped neutral atoms can be cooled with the evaporation technique. This is typically done by using a radiofrequency (rf) field that adiabatically couples trapped and untrapped internal atomic states for atoms with kinetic energies above a value set by the field frequency. The rf-field can also induce nonadiabatic changes of internal atomic spin states (F, M ) that lead to heating and enhanced loss of atoms. In this paper we use wave packet simulations to show that the evaporation process can induce these nonadiabatic transitions which change the internal spin state of doubly spin-polarized (2,2) trapped atoms. We also verify the validity of a multistate LandauZener model in describing the nonadiabatic dynamics. In addition, we calculate exchange relaxation rate coefficients for collisions between atoms in the (2, M ) states of 23 Na atoms. Large exchange relaxation coefficients for 23 Na as compared to 87 Rb F = 2 suggest that evaporative cooling of (2,2) Na will be more difficult than for the corresponding state of Rb. 34.90.+q, 32.80.Pj, 42.50.Vk

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Section: Discussionmentioning

confidence: 54%

Section: Introductionmentioning

confidence: 71%

Nonadiabatic dynamics in evaporative cooling of trapped atoms by a radio-frequency field

1998

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“…The phenomenon can be understood in terms of the intrashell dynamics of hydrogenlike Rydberg atoms in weak, timedependent electric and magnetic fields. It was recently recognized that this dynamics is exactly reducible to two independent pseudospin-1 2 problems [3]. These not only explain the new phenomenon, atomic pseudospin resonance (ApSR), but also expose clearly its similarity with NMR and ESR.…”

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confidence: 93%

Atomic Pseudospin Resonance

et al. 2001

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A new type of resonance is discovered in Rydberg atoms placed in a constant magnetic field -->B and a transient electric field that rotates at the constant frequency -->omega in a plane perpendicular to -->B. The dynamics is explained in terms of two pseudoparticles with spin 1 / 2 in two generalized magnetic fields. The resonance frequency is predicted and found at -->omega = (e/2m)-->B, where -e/m is the electron's charge-to-(reduced)mass ratio. We discuss the applicability of the resonance to accurate magnetic field measurements and the prospects for determining e/m with improved precision.

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“…Inside the latter region there exists a third region, separated from the outside by R b , where the dynamics of each atom becomes blocked by the strong dipolar interaction. The radial boundaries separating these regions will be shown to obey particular simple scaling relations with principal quantum number n.Due to the SO(4) symmetry of the Coulomb problem the Hamiltonian of a single hydrogenic Rydberg atom with principal quantum number n can be expressed in terms of two general spins which interact with corresponding effective fields ω ± ,Here ω ± = 1/2B(t) ± 3/2nE(t), where B < n −4 ,E < 1/3ndescribe weak time-dependent electric and magnetic fields in the limit where no mixing of adjacent n manifolds occurs [15]. The dimension of the two independent spins J ± is (n − 1)/2 and can be expressed as a sum of (n − 1) spin 1/2 systems according to the Majorana theorem [16].…”

mentioning

confidence: 99%

“…describe weak time-dependent electric and magnetic fields in the limit where no mixing of adjacent n manifolds occurs [15]. The dimension of the two independent spins J ± is (n − 1)/2 and can be expressed as a sum of (n − 1) spin 1/2 systems according to the Majorana theorem [16].…”

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confidence: 99%

Interatom intrashell blockade

2011

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We demonstrate a feature of the Rydberg blockade mechanism which occurs between two initially excited circular Rydberg atoms. When both atoms are exposed to weak time-dependent electric fields, it is shown that the intrashell dynamics of each atom is strongly modified by the presence of the other. Three characteristic dynamical regimes are identified with separating radii which both scale linearly with principal quantum number n for otherwise constant field parameters. A region of conditional entangled electron dynamics is separated from the outer asymptotic region of independent atom dynamics through a conditional radius, Rc. An inner region, where both atoms becomes locked in their initial state, is again separated from the conditional region by a smaller blocking radius, Rb. About 10 years ago it was discovered that the large dipole moment of Rydberg states of interacting atoms can induce a detuning which effectively prohibits more than a single atom to become optically excited within a given volume [1,2]. Thus, in an atomic cloud exposed to a driving optical excitation scheme, the dipole-dipole interaction sets up an entangled multiparticle state with special correlation properties. Recently, the dipole blockade mechanism has been measured in controlled two-atom experiments with high-lying Rydberg states of rubidium [3,4] as well as in cold gases [5][6][7]. In addition to the fascinating exploration of exotic quantum dynamics in mesoscopic systems, the dipole blockade opens for applications within quantum information [8]. Here a number of quantum gates based on single-atom gates and conditional two-atom gates and protocols involving a large number of atoms have been proposed [9].Isolated Rydberg atoms can be experimentally prepared in almost any given linear combinations of spherical l,m states of a given principal quantum number n, including circular states (magnetic quantum number m = ±(n − 1)), coherent elliptical states (corresponding to classical states of fixed eccentricity [10]), or strongly polarized Stark states (Stark quantum number k ∼ n) [11][12][13]. Experiments where recent progress has realized trapping and probing of conditional dynamics of two single atoms may therefore also probe intrashell dynamics of two initially excited Rydberg atoms. From the point of view of optical driving frequencies between ground-state atoms |g and a single Rydberg level |e , the dynamics of this setup seems at first sight only to amount to a trivial phase development, as the combined initial state in fact is the dipole blocked dark state |ee of the optical excitation scheme. However, when considering the response of Rydberg atoms to weak, time-dependent electric and magnetic fields, it is clear that for these interactions the initial state couple effectively to a manifold of intrashell states |e i ,e j . In fact, the isolated atom intrashell dynamics can be completely controlled and driven between certain initial and final states with 100% transition probability for any n level [14].In this Brief Report we explor...

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The Rydberg atom in time-dependent homogeneous electric and magnetic fields

Cited by 30 publications

References 15 publications

Nonadiabatic dynamics in evaporative cooling of trapped atoms by a radio-frequency field

Nonadiabatic dynamics in evaporative cooling of trapped atoms by a radio-frequency field

Atomic Pseudospin Resonance

Interatom intrashell blockade

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