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Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap
Open accessAbstract
The exact N-particle ground-state wave function for a one-dimensional condensate of hard-core bosons in a harmonic trap is employed to obtain accurate numerical results for the one-particle density matrix, occupation number distribution of the natural orbitals, and momentum distribution. Our results show that the occupation of the lowest orbital varies as ${N}^{0.59},$ in contrast to ${N}^{0.5}$ for a spatially uniform system, and N for a true Bose-Einstein condensate.
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Citations
Cites
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
Cited by
Exploring Phase Coherence in a 2D Lattice of Bose-Einstein Condensates
Greiner, M., Bloch, I., Mandel, O., Hänsch, T. W., & Esslinger, T. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.160405 · Cited by 686
Exciting Collective Oscillations in a Trapped 1D Gas
Moritz, H., Stöferle, T., Köhl, M., & Esslinger, T. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.250402 · Cited by 532
Bosonizing one-dimensional cold atomic gases
Cazalilla, M. A. (2004) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/37/7/051 · Cited by 423
Quantum chaos and thermalization in isolated systems of interacting particles
Borgonovi, F., Izrailev, F. M., Santos, L. F., & Zelevinsky, V. G. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.02.005 · Cited by 386
Stability and Phase Coherence of Trapped 1D Bose Gases
Gangardt, D. M., & Shlyapnikov, G. V. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.010401 · Cited by 262
Metadata
- Authors
- Girardeau, M. D., Wright, E. M., & Triscari, J. M.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2001-02-05
- Volume
- 63
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2029419751
- Cited by
- 223
- References
- 1
- FWCI
- 11.08
- Type
- journal article
- Language
- en
- Open access
- green
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- Girardeau, M. D., Wright, E. M., & Triscari, J. M. (2001). Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap. Physical Review A. https://doi.org/10.1103/physreva.63.033601
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