Coherent multiple-period states in a resonantly driven qubit

Abstract

We consider multiple-period states in systems of periodically modulated qubits. In such states the discrete time-translation symmetry imposed by the modulation is broken. We explicitly show how multiple-period states emerge in the simplest quantum system, a single qubit subjected to a pulsed resonant modulation and/or a pulsed modulation of the transition frequency. We also show that a qubit chain with the qubit coupling modulated at twice the qubit frequency has symmetry that allows mapping it on the Kitaev chain and thus provides an example of a topologically nontrivial Floquet system. An explicit solution for a two-qubit system illustrates the effect of resonant period doubling for coupled qubits, whereas in a long chain period doubling is topologically protected.

extended previous version, more details, no new results

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Cited by in corpus (5)

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• Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology
• Dynamics of a qubit-oscillator system with periodically varying coupling