Evolution of Complexity Following a Global Quench

Abstract

The rate of complexification of a quantum state is conjectured to be bounded from above by the average energy of the state. A different conjecture relates the complexity of a holographic CFT state to the on-shell gravitational action of a certain bulk region. We use 'complexity equals action' conjecture to study the time evolution of the complexity of the CFT state after a global quench. We find that the rate of growth of complexity is not only consistent with the conjectured bound, but it also saturates the bound soon after the system has achieved local equilibrium.

16 pages, 3 figures; V3: published version

References in corpus (8)

• Gravitational action with null boundaries
• Thermalization of Strongly Coupled Field Theories
• Holographic Evolution of Entanglement Entropy
• On the Time Dependence of Holographic Complexity
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Exact solution for the quench dynamics of a nested integrable system
• On Complexity Growth in Minimal Massive 3D Gravity
• Time dependence of entanglement for steady state formation in AdS${}_3$/CFT${}_2$

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