Papers › The Timescales of Quantum Breaking
The Timescales of Quantum Breaking
Marco Michel, Sebastian Zell
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Due to the inevitable existence of quantum effects, a classical description generically breaks down after a finite quantum break-time t_q. We aim to find criteria for determining t_q. To this end, we construct a new prototype model that features numerous dynamically accessible quantum modes. Using explicit numerical time evolution, we establish how t_q depends on the parameters of the system such as its particle number N. The presence of a classical instability leads to t_q ∼lnN or t_q∼√(N). In the stable case, we observe t_q∼N, although full quantum breaking may not take place at all. We find that the different regimes merge smoothly with t_q∼N^γ (0<γ<1). As an outlook, we point out possibilities for transferring our results to black holes and expanding spacetimes.
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