Lieb-Liniger gas in a constant-force potential

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.023606· OSTI ID:21448546

Jukic, D; Galic, S; Buljan, H ^[1]; Pezer, R ^[2]

---

1. Department of Physics, University of Zagreb, Bijenicka c. 32, 10000 Zagreb (Croatia)
2. Faculty of Metallurgy, University of Zagreb, Aleja narodnih heroja 3, 44103 Sisak (Croatia)

We use Gaudin's Fermi-Bose mapping operator to calculate exact solutions for the Lieb-Liniger model in a linear (constant-force) potential (the constructed exact stationary solutions are referred to as the Lieb-Liniger-Airy wave functions). The ground-state properties of the gas in the wedgelike trapping potential are calculated in the strongly interacting regime by using Girardeau's Fermi-Bose mapping and the pseudopotential approach in the 1/c approximation (c denotes the strength of the interaction). We point out that quantum dynamics of Lieb-Liniger wave packets in the linear potential can be calculated by employing an N-dimensional Fourier transform as in the case of free expansion.

• OSTI ID: 21448546
• Journal Information: Physical Review. A, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevA.82.023606; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
BOSE-EINSTEIN GAS
EXACT SOLUTIONS
FERMI GAS
FOURIER TRANSFORMATION
MAPPING
POTENTIALS
QUANTUM OPERATORS
TRAPPING
WAVE FUNCTIONS
WAVE PACKETS
CALCULATION METHODS
FUNCTIONS
INTEGRAL TRANSFORMATIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
TRANSFORMATIONS