Ladder of Loschmidt anomalies in the deep strong-coupling regime of a qubit-oscillator system

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Abstract
We uncover a remarkably regular array of singularitylike structures within the deep strong-coupling limit of qubit-oscillator (e.g., light-matter) systems described by the quantum Rabi model as a function of time and coupling strength. These nonanalytic anomalies in the Loschmidt amplitude (echoes) suggest the existence of new forms of dynamical phase transition within this deep strong-coupling regime. The key feature whereby the initial state collapses into orthogonal states at select values of the interaction strength and select times may be used to enhance—or attack—quantum information processing or computation schemes that rely on removing—or retaining—a given quantum state.
Funding Information
  • Air Force Office of Scientific Research (FA9550-20-1-0382, FA9550-20-1-0383)

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