{ "id": "1604.04276", "version": "v1", "published": "2016-04-14T19:47:49.000Z", "updated": "2016-04-14T19:47:49.000Z", "title": "Determination of the non-equilibrium steady state emerging from a defect", "authors": [ "Bruno Bertini", "Maurizio Fagotti" ], "comment": "6 pages, 2 figures", "categories": [ "cond-mat.stat-mech", "quant-ph" ], "abstract": "We consider the non-equilibrium time evolution of a translationally invariant state under a Hamiltonian with a localized defect. We discern the situations where a light-cone spreads out from the defect and separates the system into regions with macroscopically different properties. We identify the light-cone and propose a procedure to obtain a (quasi-)stationary state describing the late time dynamics of local observables. As an explicit example, we study the time evolution generated by the Hamiltonian of the transverse-field Ising chain with a local defect that cuts the interaction between two sites (a quench of the boundary conditions alongside a global quench). We solve the dynamics exactly and show that the late time properties can be obtained with the general method proposed.", "revisions": [ { "version": "v1", "updated": "2016-04-14T19:47:49.000Z" } ], "analyses": { "keywords": [ "non-equilibrium steady state emerging", "determination", "boundary conditions alongside", "late time properties", "non-equilibrium time evolution" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160404276B" } } }