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Single classical field description of interacting scalar fields
Kavli Inst Particle Astrophys & Cosmol, Menlo Pk, CA 94025 USA.;Stanford Univ, Phys Dept, Stanford, CA 94305 USA.;SLAC Natl Accelerator Lab, 2575 Sand Hill Rd, Menlo Pk, CA 94025 USA..
Kavli Inst Particle Astrophys & Cosmol, Menlo Pk, CA 94025 USA.;Stanford Univ, Phys Dept, Stanford, CA 94305 USA.;SLAC Natl Accelerator Lab, 2575 Sand Hill Rd, Menlo Pk, CA 94025 USA..
NORDITA, Stockholm Univ.
Kavli Inst Particle Astrophys & Cosmol, Menlo Pk, CA 94025 USA.;Stanford Univ, Phys Dept, Stanford, CA 94305 USA.;SLAC Natl Accelerator Lab, 2575 Sand Hill Rd, Menlo Pk, CA 94025 USA..
2022 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 105, no 3, article id 036012Article in journal (Refereed) Published
Abstract [en]

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, QIBS, a new 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.

Place, publisher, year, edition, pages
American Physical Society (APS) , 2022. Vol. 105, no 3, article id 036012
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-310213DOI: 10.1103/PhysRevD.105.036012ISI: 000761170800003Scopus ID: 2-s2.0-85126015434OAI: oai:DiVA.org:kth-310213DiVA, id: diva2:1647298
Note

QC 20220325

Available from: 2022-03-25 Created: 2022-03-25 Last updated: 2022-06-25Bibliographically approved

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Physical Review D: covering particles, fields, gravitation, and cosmology
Condensed Matter Physics

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