Self-localized impurities embedded in a one-dimensional Bose-Einstein condensate and their quantum fluctuations

Journal Article · Thu Jun 15 00:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20787543

Sacha, Krzysztof ^[1]; Timmermans, Eddy ^[1]

---

1. T-4, Theory Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We consider the self-localization of neutral impurity atoms in a Bose-Einstein condensate in a one-dimensional model. Within the strong coupling approach, we show that the self-localized state exhibits parametric soliton behavior. The corresponding stationary states are analogous to the solitons of nonlinear optics and to the solitonic solutions of the Schroedinger-Newton equation (which appears in models that consider the connection between quantum mechanics and gravitation). In addition, we present a Bogoliubov-de Gennes formalism to describe the quantum fluctuations around the product state of the strong coupling description. Our fluctuation calculations yield the excitation spectrum and reveal considerable corrections to the strong coupling description. The knowledge of the spectrum allows a spectroscopic detection of the impurity self-localization phenomenon.

• OSTI ID: 20787543
• Journal Information: Physical Review. A, Vol. 73, Issue 6; Other Information: DOI: 10.1103/PhysRevA.73.063604; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ABSORPTION SPECTRA
ATOMS
BOSE-EINSTEIN CONDENSATION
CORRECTIONS
DETECTION
EXCITATION
FLUCTUATIONS
GRAVITATION
IMPURITIES
MATHEMATICAL SOLUTIONS
NONLINEAR OPTICS
ONE-DIMENSIONAL CALCULATIONS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SOLITONS