Magnetic trapping of ultracold Rydberg atoms in low angular momentum states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 5, 2009, Pages

  Mayle, Michael ^a   Lesanovsky, Igor ^b   Schmelcher, Peter ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; ANGULAR MOMENTUM STATE; CENTER-OF-MASS; DENSITY MATRIX; DINGER EQUATION; FIELD STRENGTHS; GROUND-STATE ATOMS; INFORMATION PROTOCOLS; MAGNETIC TRAPPING; NUMERICAL SOLUTION; POINT-LIKE PARTICLES; QUANTUM PROPERTIES; RYDBERG; RYDBERG ATOMS; RYDBERG EXCITATION; TRAPPING POTENTIAL; TRAPPING PROPERTIES; ULTRACOLD RYDBERG ATOMS;

ATOMIC BEAMS; ELECTRONIC PROPERTIES; MAGNETIC MOMENTS; QUANTUM THEORY; RYDBERG STATES; SPACECRAFT PROPULSION;

ATOMS;

EID: 70450239639     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.053410     Document Type: Article

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39. We approximate M+ me ≈M, m= me M/ (me +M) ≈ me =1 a.u., and m-1 + M-1 ≈ m-1.
40. The terms involving [Vl (r) + Vso, r] in Eq. give rise to | □ κ| r [Vl (r) - V l′ (r)] | κ′ | 2 / (Eκ el - E κ′ el) and | □ κ| r (Vso - V so ′) | κ′ □ | 2 / (Eκ el - E κ′ el), which can both be neglected compared to the leading contribution of (Eκ el - E κ′ el) × | □ κ| r | κ′ □ | 2.
41. We remark that for the Rydberg state the hyperfine interaction can be treated perturbatively and does not alter the trapping potentials for the regime of field strengths we are considering.