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Bootstrapping Time-evolution in Quantum Mechanics by Lawrence, Scott; McPeak, Brian; Neill, Duff is a scholarly article available to read on EtoBox.

What is Bootstrapping Time-evolution in Quantum Mechanics about?

We present a method for obtaining a hierarchy of rigorous bounds on the time-evolution of a quantum mechanical system from an arbitrary initial state, systematically generalizing Mandelstam-Tamm-like relations. For any fixed level in the hierarchy, the bounds are tightest after short time-evolution and gradually loosen over time; we present evidence that for any fixed amount of time-evolution, the bounds can be made arbitrarily tight by moving up in the hierarchy. The computational effort to obtain the bounds scales polynomially with the number of degrees of freedom in the system being simulated. We demonstrate the method on both a single anharmonic oscillator and a system of two coupled anharmonic oscillators.

Author

Lawrence, Scott; McPeak, Brian; Neill, Duff

Published

2024

Language

EN