Orthogonality Catastrophe in many-boson systems
Abstract
Orthogonality Catastrophe in fermionic systems is well-known: the overlap between the ground state wavefunction in the presence of an impurity scattering and that in its absence is algebraically small. Here we consider many-boson systems. We find that orthogonality catastrophe is much stronger for bosons. In the absence of interactions, the overlap is e^-N^1/3 in three dimensions and e^-N/(ln N)^2 in two dimensions, where N is the number of particles. The strong orthogonality remains in the presence of interactions and harmonic confining potentials. Implications for time-dependent properties of bosonic systems, particularly those in ultracold atom gases, will be discussed.
- Publication:
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APS March Meeting Abstracts
- Pub Date:
- March 2004
- Bibcode:
- 2004APS..MARB38001S