Levy distribution in many-particle quantum systems
arXiv:0907.4328 · doi:10.1103/PhysRevA.81.043615
Abstract
Levy distribution, previously used to describe complex behavior of classical systems, is shown to characterize that of quantum many-body systems. Using two complimentary approaches, the canonical and grand-canonical formalisms, we discovered that the momentum profile of a Tonks-Girardeau gas, -- a one-dimensional gas of impenetrable (hard-core) bosons, harmonically confined on a lattice at finite temperatures, obeys Levy distribution. Finally, we extend our analysis to different confinement setups and demonstrate that the tunable Levy distribution properly reproduces momentum profiles in experimentally accessible regions. Our finding allows for calibration of complex many-body quantum states by using a unique scaling exponent.
7 pages, 6 figures, results are generalized, new examples are added
References in corpus (8)
- Many-Body Physics with Ultracold Gases
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- Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
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Cited by in corpus (4)
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Ultracold bosons with short-range interaction in regular optical lattices
- Cold bosons in optical lattices: a tutorial for Exact Diagonalization
- Superfluid weight and polarization amplitude in the one-dimensional bosonic Hubbard model