Quantum state preparation via asymptotic completeness

Physical Review Letters

Volumn 85, Issue 16, 2000, Pages 3361-3364

  Wellens, Thomas ^a   Buchleitner, Andreas ^a   Kümmerer, Burkhard ^b   Maassen, Hans ^c  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b UNIVERSITY OF STUTTGART   (Germany)

^c RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; DECOMPOSITION; ELECTROMAGNETIC FIELDS; ELECTRON ENERGY LEVELS; ELECTRON TRAPS; HEAT FLUX; HEAT LOSSES; MARKOV PROCESSES; MOLECULAR DYNAMICS; OSCILLATORS (ELECTRONIC); PHOTONS; RADIATION;

QUANTUM STATE; SINGLE MODE RADIATION; TIME INDEPENDENT ATOM FIELD INTERACTION; TWO LEVEL ATOMS; TWO PARTICLE ENTANGLEMENT;

QUANTUM THEORY;

EID: 0034301943     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.3361     Document Type: Article

References (11)

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7. B. Kümmerer and H. Maassen, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, 161 (2000).
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10. The inverse of the atoms-field interaction Eq. (1) is obtained by (i) reversing the order of the atoms and (ii) applying the transformation |u〉 → -|u〉 on each atom.
11. 0〉 = |ψ〉 ⊗ ⋯ ⊗ |ψ〉 of N/2 identically prepared atom pairs |ψ〉 = cos(φ√n + 1) |u〉 ⊗ |d〉 - cos(φ√n)|d〉 ⊗ |u〉 (unnormalized), leaves the field state |n〉 invariant. From the independence of the final and initial field state in the limit of asymptotic completeness, Eq. (2), it follows that for any initial field state, the final field state approaches |n〉 in the limit N → ∞.