Landau-Zener transition between two levels coupled to continuum
arXiv:2205.04625 · doi:10.1016/j.physleta.2022.128249
Abstract
For a Landau-Zener transition in a two-level system, the probability for a particle, initially in the first level, {\em i}, to survive the transition and to remain in the first level, depends exponentially on the square of the tunnel matrix element between the two levels. This result remains valid when the second level, {\em f}, is broadened due to e.g. coupling to continuum [V. M. Akulin and W. P. Schleicht, Phys. Rev. A {\bf 46}, 4110 (1992)]. If the level, {\em i}, is also coupled to continuum, albeit much weaker than the level {\em f}, a particle, upon surviving the transition, will eventually escape. However, for shorter times, the probability to find the particle in the level {\em i} after crossing {\em f} is {\em enhanced} due to the coupling to continuum. This, as shown in the present paper, is the result of a second-order process, which is an {\em additional coupling between the levels}. The underlying mechanism of this additional coupling is virtual tunneling from {\em i} into continuum followed by tunneling back into {\em f}.
arXiv comment1 figure
References in corpus (19)
- Landau-Zener-Stuckelberg interferometry
- Two-level systems driven by large-amplitude fields
- Gauging a quantum heat bath with dissipative Landau-Zener transitions
- Landau-Zener transition in a multilevel system. An exact result
- Landau Zener transitions in a dissipative environment: Numerically exact results
- Decoherence in a scalable adiabatic quantum computer
- Fast quantum noise in Landau-Zener transition
- Counterintuitive transitions in the multistate Landau-Zener problem with linear level crossings
- Landau-Zener transitions in a two-level system coupled to a finite-temperature harmonic oscillator
- Dynamic behaviour of Josephson-junction qubits: crossover between Rabi oscillations and Landau-Zener transitions
- Inverse Landau-Zener-Stuckelberg problem for qubit-resonator systems
- Dynamics of dissipative Landau-Zener transitions
- Landau-Zener transitions in an open multilevel quantum system
- Temperature can enhance coherent oscillations at a Landau-Zener transition
- Landau-Zener transitions mediated by an environment: population transfer and energy dissipation
- Landau-Zener transition in a two-level system coupled to a single highly-excited oscillator
- Suppression of the Landau-Zener transition probability by a weak classical noise
- Landau-Zener transition driven by a slow noise
- Landau-Zener transitions in a fermionic dissipative environment