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

We uncover a remarkably regular array of singularity-like 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 non-analytic anomalies in the Loschmidt amplitude (echoes...

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Bibliographic Details
Published in:arXiv.org 2021-10
Main Authors: Betancourt, J M, Rodríguez, F J, Quiroga, L, Johnson, N F
Format: Article
Language:English
Subjects:
Anomalies
Coupling
Data processing
Phase transitions
Quantum computing
Quantum phenomena
Qubits (quantum computing)
Online Access:Get full text
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Summary:We uncover a remarkably regular array of singularity-like 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 non-analytic 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.
ISSN:2331-8422
DOI:10.48550/arxiv.2107.10432