Title
Diagrammatic Monte Carlo study of the acoustic and the Bose-Einstein condensate polaronDiagrammatic Monte Carlo study of the acoustic and the Bose-Einstein condensate polaron
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Theory of quantum systems and complex systems
Department of Physics
Publication type
article
Publication
Bristol,
Subject
Physics
Source (journal)
New journal of physics / Institute of Physics; German Physical Society. - Bristol
Volume/pages
17(2015), 12 p.
ISSN
1367-2630
1367-2630
Article Reference
033023
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We consider two large polaron systems that are described by a Fröhlich type of Hamiltonian, namely the BoseEinstein condensate (BEC) polaron in the continuum and the acoustic polaron in a solid. We present ground-state energies of these two systems calculated with the Diagrammatic Monte Carlo (DiagMC) method and with a Feynman all-coupling approach. The DiagMC method evaluates up to very high order a diagrammatic series for the polaron's self-energy. The Feynman all-coupling approach is a variational method that has been used for a wide range of polaronic problems. For the acoustic and BEC polaron both methods provide remarkably similar non-renormalized ground-state energies that are obtained after introducing a finite momentum cutoff. For the renormalized ground-state energies of the BEC polaron, there are relatively large discrepancies between the DiagMC and the Feynman predictions. These differences can be attributed to the renormalization procedure for the contact interaction.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/2e2a0a/67722fd4.pdf
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