TY - JOUR
T1 - Interference of an array of independent bose-einstein condensates with fixed number of atoms
AU - Ando, Satoshi
AU - Yuasa, Kazuya
AU - Iazzi, Mauro
N1 - Funding Information:
This work is supported by a Special Coordination Fund for Promoting Science and Technology and the Grant-in-Aid for Young Scientists (B) (No. 21740294) both from the Ministry of Education, Culture, Sports, Science and Technology, Japan, by the bilateral Italian-Japanese Projects II04C1AF4E on \Quantum Information, Computation and Communication" of the Italian Ministry of Education, University and Research, and by the Joint Italian-Japanese Laboratory on \Quantum Information and Computation" of the Italian Ministry for Foreign A®airs.
PY - 2011/1
Y1 - 2011/1
N2 - Interference of an array of independent Bose-Einstein condensates, whose experiment has been performed recently, is theoretically studied in detail. Even if the number of the atoms in each gas is kept finite and the phases of the gases are not well-defined, interference fringes are observed on each snapshot. The statistics of the snapshot interference patterns, i.e. the average fringe amplitudes and their fluctuations (covariance), are computed analytically, and concise formulas for their asymptotic values for long time of flight are derived. Processes contributing to these quantities are clarified and the relationship with the description on the basis of the symmetry-breaking scenario is revealed.
AB - Interference of an array of independent Bose-Einstein condensates, whose experiment has been performed recently, is theoretically studied in detail. Even if the number of the atoms in each gas is kept finite and the phases of the gases are not well-defined, interference fringes are observed on each snapshot. The statistics of the snapshot interference patterns, i.e. the average fringe amplitudes and their fluctuations (covariance), are computed analytically, and concise formulas for their asymptotic values for long time of flight are derived. Processes contributing to these quantities are clarified and the relationship with the description on the basis of the symmetry-breaking scenario is revealed.
KW - Bose-Einstein condensation
KW - Hanbury Brown and Twiss effect
KW - interference
KW - snapshot
KW - spontaneous symmetry breaking
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U2 - 10.1142/S0219749911007393
DO - 10.1142/S0219749911007393
M3 - Article
AN - SCOPUS:79953168838
SN - 0219-7499
VL - 9
SP - 431
EP - 443
JO - International Journal of Quantum Information
JF - International Journal of Quantum Information
IS - SUPPL. 1
ER -