Orthogonality Catastrophe in Bose-Einstein Condensates
| dc.creator | Sun, Jun | |
| dc.creator | Rambow, Olen | |
| dc.creator | Si, Qimiao | |
| dc.date | 2004-04-26 | |
| dc.date | 2004-05-06 | |
| dc.date.accessioned | 2026-07-07T02:57:48Z | |
| dc.date.available | 2026-07-07T02:57:48Z | |
| dc.description | Orthogonality catastrophe in fermionic systems is well known: in the thermodynamic limit, the overlap between the ground state wavefunctions with and without a single local scattering potential approaches zero algebraically as a function of the particle number $N$. Here we examine the analogous problem for bosonic systems. In the homogeneous case, we find that ideal bosons display an orthogonality stronger than algebraic: the wavefunction overlap behaves as ${\rm exp}[-λN^{1/3}]$ in three dimensions and as ${\rm exp}[-λN/\ln ^2 N]$ in two dimensions. With interactions, the overlap becomes finite but is still (stretched-)exponentially small for weak interactions. We also consider the cases with a harmonic trap, reaching similar (though not identical) conclusions. Finally, we comment on the implications of our results for spectroscopic experiments and for (de)coherence phenomena. | |
| dc.description | 5 pages; 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0404590 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0404590 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23814 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Orthogonality Catastrophe in Bose-Einstein Condensates | |
| dc.type | text |