Landau-Zener tunnelling in dissipative circuit QED

Abstract

We investigate the influence of temperature and dissipation on the Landau-Zener transition probability in circuit QED. Dissipation is modelled by coupling the transmission line to a bath of harmonic oscillators. The reduced description for the density operator is treated within Bloch-Redfield theory. A phase-space representation allows an efficient numerical implementation of the resulting master equation. It provides reliable results which are valid even for rather low temperatures. We find that the spin-flip probability as a function of temperature and dissipation strength exhibits a non-monotonic behaviour. Our numerical results are complemented by analytical solutions for zero temperature and for vanishing dissipation strength.

Accepted for publication

References in corpus (13)

• Coupling Superconducting Qubits via a Cavity Bus
• Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
• Fundamental Aspects of Quantum Brownian Motion
• Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
• Gauging a quantum heat bath with dissipative Landau-Zener transitions
• Low-frequency measurement of the tunneling amplitude in a flux qubit
• Quantum state preparation in circuit QED via Landau-Zener tunneling
• Fast quantum noise in Landau-Zener transition
• Caldeira--Leggett quantum master equation in Wigner phase space: continued-fraction solution and application to Brownian motion in periodic potentials
• Dynamics of a qubit coupled to a broadened harmonic mode at finite detuning
• Entanglement creation in circuit QED via Landau-Zener sweeps
• Nonlinearly driven Landau-Zener transition with telegraph noise
• Equilibration of a dissipative quantum oscillator

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