### Abstract

We consider the Landau-Zener problem for a two-level system (or qubit) when this system interacts with one harmonic oscillator mode that is initially set to a finite-temperature thermal equilibrium state. The oscillator could represent an external mode that is strongly coupled to the qubit, e.g., an ionic oscillation mode in a molecule, or it could represent a prototypical uncontrolled environment. We analyze the qubit's occupation probabilities at the final time in a number of regimes, varying the qubit and oscillator frequencies, their coupling strength, and the temperature. In particular, we find a surprising nonmonotonic dependence on the coupling strength and temperature.

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

Volume | 90 |

Issue number | 6 |

DOIs | |

Publication status | Published - 16 Dec 2014 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

**Landau-Zener transitions in a two-level system coupled to a finite-temperature harmonic oscillator.** / Ashhab, Sahel.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Landau-Zener transitions in a two-level system coupled to a finite-temperature harmonic oscillator

AU - Ashhab, Sahel

PY - 2014/12/16

Y1 - 2014/12/16

N2 - We consider the Landau-Zener problem for a two-level system (or qubit) when this system interacts with one harmonic oscillator mode that is initially set to a finite-temperature thermal equilibrium state. The oscillator could represent an external mode that is strongly coupled to the qubit, e.g., an ionic oscillation mode in a molecule, or it could represent a prototypical uncontrolled environment. We analyze the qubit's occupation probabilities at the final time in a number of regimes, varying the qubit and oscillator frequencies, their coupling strength, and the temperature. In particular, we find a surprising nonmonotonic dependence on the coupling strength and temperature.

AB - We consider the Landau-Zener problem for a two-level system (or qubit) when this system interacts with one harmonic oscillator mode that is initially set to a finite-temperature thermal equilibrium state. The oscillator could represent an external mode that is strongly coupled to the qubit, e.g., an ionic oscillation mode in a molecule, or it could represent a prototypical uncontrolled environment. We analyze the qubit's occupation probabilities at the final time in a number of regimes, varying the qubit and oscillator frequencies, their coupling strength, and the temperature. In particular, we find a surprising nonmonotonic dependence on the coupling strength and temperature.

UR - http://www.scopus.com/inward/record.url?scp=84919623188&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84919623188&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.90.062120

DO - 10.1103/PhysRevA.90.062120

M3 - Article

AN - SCOPUS:84919623188

VL - 90

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

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

SN - 1050-2947

IS - 6

ER -