Kavli Affiliate: Tom Abel
| First 5 Authors: Andrew Eberhardt, Alvaro Zamora, Michael Kopp, Tom Abel,
| Summary:
We test the degree to which interacting Bosonic systems can be approximated
by a classical field as total occupation number is increased. This is done with
our publicly available code repository,
href{https://github.com/andillio/QIBS}{QIBS}, a massively parallel solver for
these systems. We use a number of toy models well studied in the literature and
track when the classical field description admits quantum corrections, called
the quantum breaktime. This allows us to test claims in the literature
regarding the rate of convergence of these systems to the classical evolution.
We test a number of initial conditions, including coherent states, number
eigenstates, and field number states. We find that of these initial conditions,
only number eigenstates do not converge to the classical evolution as
occupation number is increased. We find that systems most similar to scalar
field dark matter exhibit a logarithmic enhancement in the quantum breaktime
with total occupation number. Systems with contact interactions or with field
number state initial conditions, and linear dispersions, exhibit a power law
enhancement. Finally, we find that the breaktime scaling depends on both model
interactions and initial conditions.
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