Two-level systems driven by large-amplitude fields

Abstract

We analyze the dynamics of a two-level system subject to driving by large-amplitude external fields, focusing on the resonance properties in the case of driving around the region of avoided level crossing. In particular, we consider three main questions that characterize resonance dynamics: (1) the resonance condition, (2) the frequency of the resulting oscillations on resonance and (3) the width of the resonance. We identify the regions of validity of different approximations. In a large region of the parameter space, we use a geometric picture in order to obtain both a simple understanding of the dynamics and quantitative results. The geometric approach is obtained by dividing the evolution into discrete time steps, with each time step described by either a phase shift on the basis states or a coherent mixing process corresponding to a Landau-Zener crossing. We compare the results of the geometric picture with those of a rotating-wave approximation. We also comment briefly on the prospects of employing strong driving as a useful tool to manipulate two-level systems.

10 pages (two-column), 6 figures

References in corpus (13)

• Superconducting Circuits and Quantum Information
• Mach-Zehnder Interferometry in a Strongly Driven Superconducting Qubit
• Landau-Zener interferometry with superconducting qubits
• Coherent Quasiclassical Dynamics of a Persistent Current Qubit
• Bloch oscillations, Zener tunneling and Wannier-Stark ladders in the time-domain
• Multi-photon transitions between energy levels in a current-biased Josephson tunnel junction
• Location of crossings in the Floquet spectrum of a driven two-level system
• Multiphoton transitions in a macroscopic quantum two-state system
• Landau-Zener transitions in qubits controlled by electromagnetic fields
• Observation of macroscopic Landau-Zener transitions in a superconducting device
• Theory of Coherent Time-dependent Transport in One-dimensional Multiband Semiconductor Superlattices
• Temporal Interferometry: A Mechanism for Controlling Qubit Transitions During Twisted Rapid Passage with Possible Application to Quantum Computing
• Dynamics of molecular nanomagnets in time-dependent external magnetic fields: Beyond the Landau-Zener-Stückelberg model

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