Hummel, Quirin and Urbina, Juan Diego and Richter, Klaus (2019) Partial Fermionization: Spectral Universality in 1D Repulsive Bose Gases. PHYSICAL REVIEW LETTERS, 122 (24): 240601. ISSN 0031-9007, 1079-7114
Full text not available from this repository. (Request a copy)Abstract
Because of the vast growth of the many-body level density with excitation energy, its smoothed form is of central relevance for spectral and thermodynamic properties of interacting quantum systems. We compute the cumulative of this level density for confined one-dimensional continuous systems with repulsive short-range interactions. We show that the crossover from an ideal Bose gas to the strongly correlated, fermionized gas, i.e., partial fermionization, exhibits universal behavior: Systems with very few and up to many particles share the same underlying spectral features. In our derivation we supplement quantum cluster expansions with short-time dynamical information. Our nonperturbative analytical results are in excellent agreement with numerics for systems of experimental relevance in cold atom physics, such as interacting bosons on a ring (Lieb-Liniger model) or subject to harmonic confinement. Our method provides predictions for excitation spectra that enable access to finite-temperature thermodynamics in large parameter ranges.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NUCLEAR-LEVEL DENSITIES; MANY-BODY PROBLEM; PHASE-TRANSITION; FINITE DOMAIN; WAVE-EQUATION; ONE-DIMENSION; QUANTUM; EIGENFREQUENCIES; SCATTERING; UHLENBECK; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Apr 2020 08:08 |
| Last Modified: | 08 Apr 2020 08:08 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26830 |
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