### Abstract

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, nonperturbative formalism is particularly well suited in the context of time-dependent Hamiltonians, at both 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.

Original language | English (US) |
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Article number | 032118 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 82 |

Issue number | 3 |

DOIs | |

State | Published - Sep 27 2010 |

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## Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*82*(3), [032118]. https://doi.org/10.1103/PhysRevA.82.032118