{ "id": "1303.0782", "version": "v2", "published": "2013-03-04T18:55:25.000Z", "updated": "2013-06-19T16:17:51.000Z", "title": "Statistics of the work done by splitting a one-dimensional quasi-condensate", "authors": [ "Spyros Sotiriadis", "Andrea Gambassi", "Alessandro Silva" ], "comment": "20 pages, 8 figures - added paragraph, updated references", "journal": "Phys. Rev. E 87, 052129 (2013)", "doi": "10.1103/PhysRevE.87.052129", "categories": [ "cond-mat.stat-mech", "cond-mat.quant-gas" ], "abstract": "Motivated by experiments on splitting one-dimensional quasi-condensates, we study the statistics of the work done by a quantum quench in a bosonic system. We discuss the general features of the probability distribution of the work and focus on its behaviour at the lowest energy threshold, which develops an edge singularity. A formal connection between this probability distribution and the critical Casimir effect in thin classical films shows that certain features of the edge singularity are universal as the post-quench gap tends to zero. Our results are quantitatively illustrated by an exact calculation for non-interacting bosonic systems. The effects of finite system size, dimensionality, and non-zero initial temperature are discussed in detail.", "revisions": [ { "version": "v2", "updated": "2013-06-19T16:17:51.000Z" } ], "analyses": { "subjects": [ "05.70.Ln", "03.75.Kk", "05.70.Np", "05.30.Jp" ], "keywords": [ "statistics", "probability distribution", "edge singularity", "bosonic system", "non-zero initial temperature" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2013, "month": "May", "volume": 87, "number": 5, "pages": "052129" }, "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1222402, "adsabs": "2013PhRvE..87e2129S" } } }