Floquet-Bloch operator for the Bose-Hubbard model with static field

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 5 2, 2003, Pages 562131-562139

  Kolovsky, Andrey R ^a,b   Buchleitner, Andreas ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b KIRENSKY INSTITUTE OF PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CHAOS THEORY; CRYSTALLINE MATERIALS; ELECTRONS; HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; OSCILLATIONS; POISSON EQUATION; QUANTUM THEORY; SOLID STATE PHYSICS; SPECTRUM ANALYSIS; STATISTICAL METHODS;

GRAVITATIONAL FORCE; QUANTUM CHAOS;

MOLECULAR DYNAMICS;

EID: 0942267621     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

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2. According to the prediction by F. Bloch, Z. Phys. 52, 555 (1928); C. Zener, Proc. R. Soc. London, Ser. A 145, 523 (1934), crystalline electrons in a homogeneous, static electric field should show oscillatory rather than uniform motion. Note that, because of the unavoidable presence of relaxation processes (scattering on impurities, etc.), Bloch oscillations have never been observed in bulk crystals.
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