Imaginary Time Mean-Field Method for Collective Tunneling
- URL: http://arxiv.org/abs/2012.00942v1
- Date: Wed, 2 Dec 2020 03:07:25 GMT
- Title: Imaginary Time Mean-Field Method for Collective Tunneling
- Authors: Patrick McGlynn and Cedric Simenel
- Abstract summary: Theory of quantum tunneling with strongly interacting particles, such as nucleons in atomic nuclei, remains a major challenge in quantum physics.
An initial-value approach to tunneling accounting for the degrees of freedom of each interacting particle is highly desirable.
Real-time and imaginary-time Hartree dynamics are compared to the exact solution in the case of two particles in a two-well potential.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Background: Quantum tunneling in many-body systems is the subject of many
experimental and theoretical studies in fields ranging from cold atoms to
nuclear physics. However, theoretical description of quantum tunneling with
strongly interacting particles, such as nucleons in atomic nuclei, remains a
major challenge in quantum physics.
Purpose: An initial-value approach to tunneling accounting for the degrees of
freedom of each interacting particle is highly desirable.
Methods: Inspired by existing methods to describe instantons with periodic
solutions in imaginary time, we investigate the possibility to use an initial
value approach to describe tunneling at the mean-field level. Real-time and
imaginary-time Hartree dynamics are compared to the exact solution in the case
of two particles in a two-well potential.
Results: Whereas real-time evolutions exhibit a spurious self-trapping effect
preventing tunneling in strongly interacting systems, the
imaginary-time-dependent mean-field method predicts tunneling rates in
excellent agreement with the exact solution.
Conclusions: Being an initial-value method, it could be more suitable than
approaches requiring periodic solutions to describe realistic systems such as
heavy-ion fusion.
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