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Non-adiabaticity and nonlinearity of a many-particle Landau-Zener problem: classical adiabatic theory approach | | A.P. Itin
; P. Törmä
; | | Date: |
29 Jan 2009 | | Abstract: | We consider nonlinear dynamics of an interacting many-particle system with a
slowly changing parameter: a time-dependent Dicke model, which represents a
many-body generalization of the Landau-Zener model. Adiabaticity is destroyed
when a parameter crosses a critical value, even at very slow sweeping rates of
a parameter. Applying semiclassical analysis based on concepts of classical
adiabatic invariants, we derive a formula which accurately describes particle
distributions in the Hilbert space at wide range of parameters and initial
conditions of the system. | | Source: | arXiv, 0901.4778 | | Services: | Forum | Review | PDF | Favorites | |
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