Bose-Einstein condensation in one-dimensional power-law traps: A path-integral Monte Carlo simulation
- Department of Physics, University of Nevada, Las Vegas, Nevada 89154 (United States)
Bose-Einstein condensation is known to occur in one-dimensional power-law potentials V(x){proportional_to}{vert_bar}x{vert_bar}{sup {eta}} as a true phase transition for {eta}{lt}2, but only if there are no interactions between the particles. We show, via a path-integral quantum Monte Carlo scheme, that for both {eta}{lt}2 and {eta}=2 the spatial distribution of finite numbers of hard-core bosons suddenly becomes bimodal below a certain temperature, with a central condensate of particles distributed according to the lowest single-particle eigenstate. At still lower temperatures, the hard-core interactions cause the single-particle ground state to become a poor description for the interacting gas. If {eta}{lt}2, the energy per particle undergoes a sudden decrease near the same temperature at which the bimodal distribution appears. It is found that this drop in energy disappears if the range of the interaction potential is sufficiently large. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 639092
- Journal Information:
- Physical Review A, Vol. 58, Issue 2; Other Information: PBD: Aug 1998
- Country of Publication:
- United States
- Language:
- English
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