{ "id": "1303.4103", "version": "v1", "published": "2013-03-17T21:09:49.000Z", "updated": "2013-03-17T21:09:49.000Z", "title": "Quantum quenches and work distributions in ultra-low-density systems", "authors": [ "Yulia E. Shchadilova", "Pedro Ribeiro", "Masudul Haque" ], "comment": "4+10 pages, 4+9 figures", "journal": "Phys. Rev. Lett. 112, 070601 (2014)", "doi": "10.1103/PhysRevLett.112.070601", "categories": [ "cond-mat.stat-mech", "cond-mat.mes-hall", "cond-mat.quant-gas" ], "abstract": "We present results on quantum quenches in systems with a fixed number of particles in a large region. We show that the typical differences between local and global quenches present in systems with regular thermodynamic limit are lacking in this low-density limit. In particular, we show that in this limit local quenches may not lead to equilibration to the new ground state, and that global quenches can have power-law work distributions (\"edge singularities\") typically associated with local quenches for finite-density systems. We also show that this regime allows for large edge singularity exponents beyond that allowed by the constraints of the usual thermodynamic limit. This large-exponent singularity has observable consequences in the time evolution, leading to a distinct intermediate power-law regime in time. We demonstrate these results first using local quantum quenches in a low-density Kondo-like system, and additionally through global and local quenches in Bose-Hubbard, Aubry-Andre, and hard-core boson systems in the low-density regime.", "revisions": [ { "version": "v1", "updated": "2013-03-17T21:09:49.000Z" } ], "analyses": { "subjects": [ "05.70.Ln", "03.65.Yz", "05.30.-d", "67.85.-d" ], "keywords": [ "quantum quenches", "ultra-low-density systems", "large edge singularity exponents", "global quenches", "distinct intermediate power-law regime" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2014, "month": "Feb", "volume": 112, "number": 7, "pages": "070601" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014PhRvL.112g0601S" } } }