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Volumn 76, Issue 2, 2007, Pages

Spin structures of spin-1 bosonic atoms trapped in an optical lattice with harmonic confinement

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETIC MATERIALS; APPROXIMATION THEORY; BOSONS; ELECTRIC INSULATORS; ONE DIMENSIONAL; PHASE TRANSITIONS;

EID: 34548099740     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.023606     Document Type: Article
Times cited : (29)

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    • On the basis of Eq. 23, we can introduce the operator Q i which counts the number of spin-singlet pairs at the i th site: Q i = ni, Fi, mi 1 2 (ni - Fi) | ni, Fi, mi ni, Fi, mi |. The average number of local spin-singlet pairs is then given by the expectation value of this operator, i.e., Qi = Q i .
    • On the basis of Eq. 23, we can introduce the operator Q i which counts the number of spin-singlet pairs at the i th site: Q i = ni, Fi, mi 1 2 (ni - Fi) | ni, Fi, mi ni, Fi, mi |. The average number of local spin-singlet pairs is then given by the expectation value of this operator, i.e., Qi = Q i.
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    • It is straightforward to derive the relation ΨSF | n i2 | ΨSF =N (N-1) | ci | 2 + ni based on the SF state in Eq. 7. Equation 20 is then rewritten as F i2 = n i2 + ni.
    • It is straightforward to derive the relation ΨSF | n i2 | ΨSF =N (N-1) | ci | 2 + ni based on the SF state in Eq. 7. Equation 20 is then rewritten as F i2 = n i2 + ni.


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