Determination of Scale-Invariant Equations of State without Fitting Parameters: Application to the Two-Dimensional Bose Gas Across the Berezinskii-Kosterlitz-Thouless Transition. Desbuquois, R., Yefsah, T., Chomaz, L., Weitenberg, C., Corman, L., Nascimbène, S., & Dalibard, J. Physical Review Letters, 113(2):020404, July, 2014. doi abstract bibtex We present a general “fit-free” method for measuring the equation of state (EoS) of a scale-invariant gas. This method, which is inspired from the procedure introduced by Ku et al. [Science 335, 563 (2012)] for the unitary three-dimensional Fermi gas, provides a general formalism which can be readily applied to any quantum gas in a known trapping potential, in the frame of the local density approximation. We implement this method on a weakly interacting two-dimensional Bose gas across the Berezinskii-Kosterlitz-Thouless transition and determine its EoS with unprecedented accuracy in the critical region. Our measurements provide an important experimental benchmark for classical-field approaches which are believed to accurately describe quantum systems in the weakly interacting but nonperturbative regime.
@article{ desbuquois_determination_2014,
title = {Determination of {Scale}-{Invariant} {Equations} of {State} without {Fitting} {Parameters}: {Application} to the {Two}-{Dimensional} {Bose} {Gas} {Across} the {Berezinskii}-{Kosterlitz}-{Thouless} {Transition}},
volume = {113},
shorttitle = {Determination of {Scale}-{Invariant} {Equations} of {State} without {Fitting} {Parameters}},
doi = {10.1103/PhysRevLett.113.020404},
abstract = {We present a general “fit-free” method for measuring the equation of state (EoS) of a scale-invariant gas. This method, which is inspired from the procedure introduced by Ku et al. [Science 335, 563 (2012)] for the unitary three-dimensional Fermi gas, provides a general formalism which can be readily applied to any quantum gas in a known trapping potential, in the frame of the local density approximation. We implement this method on a weakly interacting two-dimensional Bose gas across the Berezinskii-Kosterlitz-Thouless transition and determine its EoS with unprecedented accuracy in the critical region. Our measurements provide an important experimental benchmark for classical-field approaches which are believed to accurately describe quantum systems in the weakly interacting but nonperturbative regime.},
language = {en},
number = {2},
urldate = {2014-09-05},
journal = {Physical Review Letters},
author = {Desbuquois, Rémi and Yefsah, Tarik and Chomaz, Lauriane and Weitenberg, Christof and Corman, Laura and Nascimbène, Sylvain and Dalibard, Jean},
month = {July},
year = {2014},
pages = {020404},
annote = {lien de la fiche : http://link.aps.org/doi/10.1103/PhysRevLett.113.020404},
file = {APS Snapshot:C\:\\Users\̧onsultation\\AppData\\Roaming\\Mozilla\\Firefox\\Profiles\\1rk8mjlp.julien\\zotero\\storage\\E6UWJ3Z5\\PhysRevLett.113.html:text/html}
}
Downloads: 0
{"_id":"XB5Fbzt2J5TGg9rBz","authorIDs":[],"author_short":["Desbuquois, R.","Yefsah, T.","Chomaz, L.","Weitenberg, C.","Corman, L.","Nascimbène, S.","Dalibard, J."],"bibbaseid":"desbuquois-yefsah-chomaz-weitenberg-corman-nascimbne-dalibard-determinationofscaleinvariantequationsofstatewithoutfittingparametersapplicationtothetwodimensionalbosegasacrosstheberezinskiikosterlitzthoulesstransition-2014","bibdata":{"abstract":"We present a general “fit-free” method for measuring the equation of state (EoS) of a scale-invariant gas. This method, which is inspired from the procedure introduced by Ku et al. [Science 335, 563 (2012)] for the unitary three-dimensional Fermi gas, provides a general formalism which can be readily applied to any quantum gas in a known trapping potential, in the frame of the local density approximation. We implement this method on a weakly interacting two-dimensional Bose gas across the Berezinskii-Kosterlitz-Thouless transition and determine its EoS with unprecedented accuracy in the critical region. Our measurements provide an important experimental benchmark for classical-field approaches which are believed to accurately describe quantum systems in the weakly interacting but nonperturbative regime.","annote":"lien de la fiche : http://link.aps.org/doi/10.1103/PhysRevLett.113.020404","author":["Desbuquois, Rémi","Yefsah, Tarik","Chomaz, Lauriane","Weitenberg, Christof","Corman, Laura","Nascimbène, Sylvain","Dalibard, Jean"],"author_short":["Desbuquois, R.","Yefsah, T.","Chomaz, L.","Weitenberg, C.","Corman, L.","Nascimbène, S.","Dalibard, J."],"bibtex":"@article{ desbuquois_determination_2014,\n title = {Determination of {Scale}-{Invariant} {Equations} of {State} without {Fitting} {Parameters}: {Application} to the {Two}-{Dimensional} {Bose} {Gas} {Across} the {Berezinskii}-{Kosterlitz}-{Thouless} {Transition}},\n volume = {113},\n shorttitle = {Determination of {Scale}-{Invariant} {Equations} of {State} without {Fitting} {Parameters}},\n doi = {10.1103/PhysRevLett.113.020404},\n abstract = {We present a general “fit-free” method for measuring the equation of state (EoS) of a scale-invariant gas. This method, which is inspired from the procedure introduced by Ku et al. [Science 335, 563 (2012)] for the unitary three-dimensional Fermi gas, provides a general formalism which can be readily applied to any quantum gas in a known trapping potential, in the frame of the local density approximation. We implement this method on a weakly interacting two-dimensional Bose gas across the Berezinskii-Kosterlitz-Thouless transition and determine its EoS with unprecedented accuracy in the critical region. Our measurements provide an important experimental benchmark for classical-field approaches which are believed to accurately describe quantum systems in the weakly interacting but nonperturbative regime.},\n language = {en},\n number = {2},\n urldate = {2014-09-05},\n journal = {Physical Review Letters},\n author = {Desbuquois, Rémi and Yefsah, Tarik and Chomaz, Lauriane and Weitenberg, Christof and Corman, Laura and Nascimbène, Sylvain and Dalibard, Jean},\n month = {July},\n year = {2014},\n pages = {020404},\n annote = {lien de la fiche : http://link.aps.org/doi/10.1103/PhysRevLett.113.020404},\n file = {APS Snapshot:C\\:\\\\Users\\̧onsultation\\\\AppData\\\\Roaming\\\\Mozilla\\\\Firefox\\\\Profiles\\\\1rk8mjlp.julien\\\\zotero\\\\storage\\\\E6UWJ3Z5\\\\PhysRevLett.113.html:text/html}\n}","bibtype":"article","doi":"10.1103/PhysRevLett.113.020404","file":"APS Snapshot:C\\:\\\\Users\\̧onsultation\\\\AppData\\\\Roaming\\\\Mozilla\\\\Firefox\\\\Profiles\\\\1rk8mjlp.julien\\\\zotero\\\\storage\\\\E6UWJ3Z5\\\\PhysRevLett.113.html:text/html","id":"desbuquois_determination_2014","journal":"Physical Review Letters","key":"desbuquois_determination_2014","language":"en","month":"July","number":"2","pages":"020404","shorttitle":"Determination of Scale-Invariant Equations of State without Fitting Parameters","title":"Determination of Scale-Invariant Equations of State without Fitting Parameters: Application to the Two-Dimensional Bose Gas Across the Berezinskii-Kosterlitz-Thouless Transition","type":"article","urldate":"2014-09-05","volume":"113","year":"2014","bibbaseid":"desbuquois-yefsah-chomaz-weitenberg-corman-nascimbne-dalibard-determinationofscaleinvariantequationsofstatewithoutfittingparametersapplicationtothetwodimensionalbosegasacrosstheberezinskiikosterlitzthoulesstransition-2014","role":"author","urls":{},"downloads":0},"bibtype":"article","biburl":"https://copy.com/hwYBEyalcoSXeycD","creationDate":"2015-03-20T15:16:02.155Z","downloads":0,"keywords":[],"search_terms":["determination","scale","invariant","equations","state","without","fitting","parameters","application","two","dimensional","bose","gas","berezinskii","kosterlitz","thouless","transition","desbuquois","yefsah","chomaz","weitenberg","corman","nascimbène","dalibard"],"title":"Determination of Scale-Invariant Equations of State without Fitting Parameters: Application to the Two-Dimensional Bose Gas Across the Berezinskii-Kosterlitz-Thouless Transition","year":2014,"dataSources":["5MkK9khFbZvmsLDrT"]}