Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
arXiv:cond-mat/0703596 · doi:10.1103/PhysRevB.75.214308
Abstract
We study Landau-Zener transitions in a qubit coupled to a bath at zero temperature. A general formula is derived that is applicable to models with a non-degenerate ground state. We calculate exact transition probabilities for a qubit coupled to either a bosonic or a spin bath. The nature of the baths and the qubit-bath coupling is reflected in the transition probabilities. For diagonal coupling, when the bath causes energy fluctuations of the diabatic qubit states but no transitions between them, the transition probability coincides with the standard LZ probability of an isolated qubit. This result is universal as it does not depend on the specific type of bath. For pure off-diagonal coupling, by contrast, the tunneling probability is sensitive to the coupling strength. We discuss the relevance of our results for experiments on molecular nanomagnets, in circuit QED, and for the fast-pulse readout of superconducting phase qubits.
16 pages, 8 figures
References in corpus (10)
- Gauging a quantum heat bath with dissipative Landau-Zener transitions
- Quantum two-level systems in Josephson junctions as naturally formed qubits
- High-contrast dispersive readout of a superconducting flux qubit using a nonlinear resonator
- Towards a Landau-Zener formula for an interacting Bose-Einstein condensate
- Four-qubit device with mixed couplings
- Landau-Zener transitions in qubits controlled by electromagnetic fields
- Observation of macroscopic Landau-Zener transitions in a superconducting device
- Quantum state preparation in circuit QED via Landau-Zener tunneling
- Comment on "Exact results for survival probability in the multistate Landau-Zener model"
- Nonadiabatic Transitions for a Decaying Two-Level-System: Geometrical and Dynamical Contributions
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