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Chaos and complexity in quantum mechanics

Ali, Tibra ; Bhattacharyya, Arpan ; Haque, S. Shajidul ; Kim, Eugene H. ; Moynihan, Nathan ; Murugan, Jeff

Physical review. D, 2020-01, Vol.101 (2), p.1, Article 026021 [Periódico revisado por pares]

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Título:
Chaos and complexity in quantum mechanics
Autor: Ali, Tibra ; Bhattacharyya, Arpan ; Haque, S. Shajidul ; Kim, Eugene H. ; Moynihan, Nathan ; Murugan, Jeff
Assuntos: Chaos theory ; Complexity ; Correlators ; Diagnostic systems ; Liapunov exponents ; Quantum mechanics ; Time
É parte de: Physical review. D, 2020-01, Vol.101 (2), p.1, Article 026021
Descrição: We propose a new diagnostic for quantum chaos. We show that the time evolution of complexity for a particular type of target state can provide equivalent information about the classical Lyapunov exponent and scrambling time as out-of-time-order correlators. Moreover, for systems that can be switched from a regular to unstable (chaotic) regime by a tuning of the coupling constant of the interaction Hamiltonian, we find that the complexity defines a new time scale. We interpret this time scale as recording when the system makes the transition from regular to chaotic behavior.
Editor: College Park: American Physical Society
Idioma: Inglês

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