### Diagrammatic Monte Carlo study of the acoustic and the Bose-Einstein condensate polaron

Jonas Vlietinck, Kris Van Houcke UGent, Jan Ryckebusch UGent (2015) 17.
abstract
We consider two large polaron systems that are described by a Fröhlich type of Hamiltonian, namely the Bose–Einstein 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.
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
polaron systems, diagrammatic series, diagrammatic Monte Carlo, GROUND-STATE, ELECTRONS, FILMS
journal title
NEW JOURNAL OF PHYSICS
New J. Phys.
volume
17
article number
033023
pages
13 pages
Web of Science type
Article
Web of Science id
000352900800004
JCR category
PHYSICS, MULTIDISCIPLINARY
JCR impact factor
3.57 (2015)
JCR rank
10/79 (2015)
JCR quartile
1 (2015)
ISSN
1367-2630
DOI
10.1088/1367-2630/17/3/033023
project
FWO G.0119.12N and G.0115.12N
language
English
UGent publication?
yes
classification
A1
I have retained and own the full copyright for this publication
id
5895361
handle
http://hdl.handle.net/1854/LU-5895361
date created
2015-03-13 11:27:35
date last changed
2017-03-27 10:59:45
```@article{5895361,
abstract     = {We consider two large polaron systems that are described by a Fr{\"o}hlich type of Hamiltonian, namely the Bose--Einstein 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{\textquoteright}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.},
articleno    = {033023},
author       = {Vlietinck, Jonas and Casteels, Wim and Van Houcke, Kris and Tempere, Jacques and Ryckebusch, Jan and Devreese, Josef T},
issn         = {1367-2630},
journal      = {NEW JOURNAL OF PHYSICS},
keyword      = {polaron systems,diagrammatic series,diagrammatic Monte Carlo,GROUND-STATE,ELECTRONS,FILMS},
language     = {eng},
pages        = {13},
title        = {Diagrammatic Monte Carlo study of the acoustic and the Bose-Einstein condensate polaron},
url          = {http://dx.doi.org/10.1088/1367-2630/17/3/033023},
volume       = {17},
year         = {2015},
}

```
Chicago
Vlietinck, Jonas, Wim Casteels, Kris Van Houcke, Jacques Tempere, Jan Ryckebusch, and Josef T Devreese. 2015. “Diagrammatic Monte Carlo Study of the Acoustic and the Bose-Einstein Condensate Polaron.” New Journal of Physics 17.
APA
Vlietinck, J., Casteels, W., Van Houcke, K., Tempere, J., Ryckebusch, J., & Devreese, J. T. (2015). Diagrammatic Monte Carlo study of the acoustic and the Bose-Einstein condensate polaron. NEW JOURNAL OF PHYSICS, 17.
Vancouver
1.
Vlietinck J, Casteels W, Van Houcke K, Tempere J, Ryckebusch J, Devreese JT. Diagrammatic Monte Carlo study of the acoustic and the Bose-Einstein condensate polaron. NEW JOURNAL OF PHYSICS. 2015;17.
MLA
Vlietinck, Jonas, Wim Casteels, Kris Van Houcke, et al. “Diagrammatic Monte Carlo Study of the Acoustic and the Bose-Einstein Condensate Polaron.” NEW JOURNAL OF PHYSICS 17 (2015): n. pag. Print.