Universality in dissipative Landau-Zener transitions

Details Universality in dissipative Landau-Zener transitions Universality in dissipative Landau-Zener transitions

2009-12-17

arxiv.org/abs/0912.3531v4

Phys. Rev. A 82, 032118 (2010)

Physics

Condensed Matter

Other Condensed Matter

6 pages, 2 figs; added finite temperature results

Scientific paper

10.1103/PhysRevA.82.032118

We introduce a random variable approach to investigate the dynamics of a dissipative two-state system. Based on an exact functional integral description, our method reformulates the problem as that of the time evolution of a quantum state vector subject to a Hamiltonian containing random noise fields. This numerically exact, non-perturbative formalism is particularly well suited in the context of time-dependent Hamiltonians, both at zero and finite temperature. As an important example, we consider the renowned Landau-Zener problem in the presence of an Ohmic environment with a large cutoff frequency at finite temperature. We investigate the 'scaling' limit of the problem at intermediate times, where the decay of the upper spin state population is universal. Such a dissipative situation may be implemented using a cold-atom bosonic setup.

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