期刊
PHYSICAL REVIEW A
卷 91, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.91.053621
关键词
-
资金
- DFG (Germany) [BR 1528/7, BR 1528/8, BR1528/9, SFB 910, GRK 1558]
On top of the mean-field analysis of a Bose-Einstein condensate, one typically applies the Bogoliubov theory to analyze quantum fluctuations of the excited modes. Therefore, one has to diagonalize the Bogoliubov Hamiltonian in a symplectic manner. In our article we investigate the topology of these Bogoliubov excitations in inversion-invariant systems of interacting bosons. We analyze how the condensate influences the topology of the Bogoliubov excitations. Analogously to the fermionic case, here we establish a symplectic extension of the polarization characterizing the topology of the Bogoliubov excitations and link it to the eigenvalues of the inversion operator at the inversion-invariant momenta. We also demonstrate an instructive but experimentally feasible example that this quantity is also related to edge states in the excitation spectrum.
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