Many body generalization of the Landau Zener problem

Abstract

We formulate and approximately solve a specific many-body generalization of the Landau-Zener problem. Unlike with the single particle Landau-Zener problem, our system does not abide in the adiabatic ground state, even at very slow driving rates. The structure of the theory suggests that this finding reflects a more general phenomenon in the physics of adiabatically driven many particle systems. Our solution can be used to understand, for example, the behavior of two-level systems coupled to an electromagnetic field, as realized in cavity QED experiments.

4 pages

References in corpus (2)

• Many-body effects on adiabatic passage through Feshbach resonances
• Production efficiency of Feshbach molecules in fermion systems

Cited by in corpus (8)

• Breakdown of the adiabatic limit in low dimensional gapless systems
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• Occupation Statistics of a BEC for a Driven Landau-Zener Crossing
• Nonlinear Landau-Zener Processes in a Periodic Driving Field
• Collapse and revivals of a the photon field in a many-body Landau-Zener process
• Variational ansatz for the nonlinear Landau-Zener problem for cold atom association
• Molecular production at a wide Feshbach resonance in Fermi-gas of cooled atoms