Journal
PHYSICAL REVIEW D
Volume 105, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.105.126015
Keywords
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Funding
- National Natural Science Foundation of China [11875151, 12047501]
- 111 Project [B20063]
- Lanzhou City's scientific research funding
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We investigate the circuit complexity and Loschmidt echo for the (inverted) harmonic oscillators using a perturbative approach. Analytical results for the Lyapunov exponent and scrambling time of the inverted harmonic oscillators are derived. Our findings show that the circuit complexity and Loschmidt echo exhibit qualitatively similar behaviors, particularly with respect to the consistent Lyapunov exponent.
We investigate the circuit complexity and Loschmidt echo for the (inverted) harmonic oscillators. Using a perturbative approach, we analytically derive the Lyapunov exponent and scrambling time of the inverted harmonic oscillators. We show that the circuit complexity and Loschmidt echo exhibit qualitatively similar behaviors, particularly the consistent Lyapunov exponent.
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