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Volumn 59, Issue 4, 1999, Pages 2982-2989

Photonic band gaps and defect states induced by excitations of Bose-Einstein condensates in optical lattices

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EID: 0001594830     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.2982     Document Type: Article
Times cited : (36)

References (27)
  • 19
    • 85037256226 scopus 로고    scopus 로고
    • More specifically, we assumed that the lowest frequency band (Formula presented) has the form (Formula presented) The parameters A and B are determined by comparing f and (Formula presented) at (Formula presented) with (Formula presented) and (Formula presented) found in the four-level approximation. The latter can be found by taking the derivative of the characteristic polynomial of the (Formula presented) matrix with respect to q at (Formula presented)
    • More specifically, we assumed that the lowest frequency band (Formula presented) has the form (Formula presented) The parameters A and B are determined by comparing f and (Formula presented) at (Formula presented) with (Formula presented) and (Formula presented) found in the four-level approximation. The latter can be found by taking the derivative of the characteristic polynomial of the (Formula presented) matrix with respect to q at (Formula presented)


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