Qubit interference at avoided crossings: The role of driving shape and bath coupling

Abstract

We derive the structure of the Landau-Zener-Stückelberg-Majorana (LZSM) interference pattern for a qubit that experiences quantum dissipation and is additionally subjected to time-periodic but otherwise general driving. A spin-boson Hamiltonian serves as model which we treat with a Bloch-Redfield master equation in Floquet basis. It predicts a peak structure that depends sensitively on the operator through which the qubit couples to the bath. The Fourier transforms of the LZSM patterns exhibit arc structures which reflect the shape of the driving. These features are captured by an effective time-independent Bloch equation which provides an analytical solution. Moreover, we determine the decay of these arcs as a function of dissipation strength and temperature.

10 pages, 6 figures, submitted to PRA

References in corpus (10)

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• Amplitude Spectroscopy of a Solid-State Artificial Atom
• Landau-Zener-Stuckelberg Interferometry of a Single Electron Charge Qubit
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• Population inversion of driven two-level systems in a structureless bath
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Cited by in corpus (10)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Stückelberg interference in a superconducting qubit under periodic latching modulation
• Dispersive readout of adiabatic phases
• Control of spectroscopic features of multiphoton transitions in two coupled qubits by driving fields
• Quantum Dissipation at Conical Intersections of Quasienergies
• Generalized fast quasi-adiabatic population transfer for improved qubit readout, shuttling, and noise mitigation
• Longitudinal coupling between electrically driven spin-qubits and a resonator
• Mesoscopic fluctuations in biharmonically driven flux qubits
• The open driven two-level system at conical intersections of quasienergies
• Efficient steady state entanglement generation in strongly driven coupled qubits