Dynamics of dissipative Landau-Zener transitions

Abstract

A non-perturbative treatment, the Dirac-Frenkel time-dependent variation is employed to examine dynamics of the Landau-Zener model with both diagonal and off-diagonal qubit-bath coupling using the multiple Davydov trial states. It is shown that steady-state transition probabilities agree with analytical predictions at long times. Landau-Zener dynamics at intermediate times is little affected by diagonal coupling, and is found to be determined by off-diagonal coupling and tunneling strength between two diabatic states. We investigate effects of bath spectral densities, coupling strengths and interaction angles on Laudau-Zener dynamics. Thanks to the multiple Davydov trial states, detailed boson dynamics can also be analyzed in Landau-Zener transitions. Results presented here may help provide guiding principles to manipulate the Laudau-Zener transitions in circuit QED architectures by tuning off-diagonal coupling and tunneling strength.

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• Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
• Generalized Adiabatic Impulse Approximation
• Variational study of two-impurity spin-boson model with a common Ohmic bath: Ground-state phase transitions
• Dissipative dynamics in a tunable Rabi dimer with periodic harmonic driving
• Partial Landau-Zener transitions and applications to qubit shuttling
• Nonequilibrium Landau-Zener Tunneling in Exciton-Polariton Condensates
• Landau-Zener transitions in a fermionic dissipative environment
• Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath
• Dynamics of dissipative Landau-Zener transitions in an anisotropic three-level system
• Landau-Zener transition between two levels coupled to continuum
• Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system
• Photon-assisted Landau Zener transitions in a tunable driven Rabi dimer coupled to a micromechanical resonator
• Counterdiabatic driving for random-gap Landau-Zener transitions