Spectral analysis of chaos
Eigenstates of kicked spin systems and CAT maps
Schrödinger-Koopman representations, quasienergy states and effective Hamiltonians for spin sets or matrices aperiodically kicked by magnetic ultra-fast pulses. Koopman modes of continuous automorphism of the torus (CAT) maps.
Qubit systems submitted to chaotic noises
Study of the transfer of classical chaotic properties to interacting qubits, signatures of chaos in quantum decoherence processes; decoherence, entanglement and disorder in qubit systems submitted to chaotic noises. Fractals and chaotic evolutions involved by decoherence-purification competitions.
Quantum chimeras
Quantum systems having chimera states (hybrid states with chaotic and regular behaviours)..
- D.Viennot & L. Aubourg, Decoherence, relaxation and chaos in a kicked-spin ensemble (Schrödinger's cat kicked by Arnold's cat), Phys. Rev. E 87, 062903 (2013).
- L. Aubourg & D. Viennot, Analyses of the transmission of the disorder from a disturbed environment to a spin chain, Quantum Information Processing 14, 1117 (2015).
- D. Viennot & L. Aubourg, Quantum chimera states, Physics Letters A 380, 678 (2016) .
- L. Aubourg & D. Viennot, Information transmission and control in a chaotically kicked spin chain, J. Phys. B: At. Mol. Opt. Phys. 49, 115501 (2016).
- D. Viennot & L. Aubourg, Schrödinger-Koopman quasienergy states of quantum systems driven by a classical flow, J. Phys. A : Math. Theor. 51, 335201 (2018).
- D. Viennot, Effective Hamiltonians for almost-periodically driven quantum systems, J. Phys. A: Math. Theor. 54, 414004 (2021)
- D. Viennot, Competition between decoherence and purification: quaternionic representation and quaternionic fractals, Chaos, Solitons and Fractals 161, 112346 (2022)
