{ "id": "1601.04368", "version": "v1", "published": "2016-01-17T23:42:43.000Z", "updated": "2016-01-17T23:42:43.000Z", "title": "Critical scaling in quantum thermodynamics", "authors": [ "Abolfazl Bayat", "Tony J. G. Apollaro", "Simone Paganelli", "Gabriele De Chiara", "Henrik Johannesson", "Sougato Bose", "Pasquale Sodano" ], "comment": "7 pages, 4 figures", "categories": [ "cond-mat.stat-mech", "cond-mat.str-el", "quant-ph" ], "abstract": "The emerging field of quantum thermodynamics is contributing important results and insights into archetypal many-body problems, including quantum phase transitions. Still, the question whether out-of-equilibrium quantities, such as fluctuations of work, exhibit critical scaling after a sudden quench in a closed system has remained elusive. Here, we take a novel approach to the problem by studying a quench across an impurity quantum critical point. By performing density matrix renormalization group computations on the two-impurity Kondo model, we are able to establish that the irreversible work produced in a quench exhibits finite-size scaling at quantum criticality. This scaling faithfully predicts the equilibrium critical exponents for the crossover length and the order parameter of the model, and, moreover, implies a new exponent for the rescaled irreversible work. By connecting the irreversible work to the two-impurity spin correlation function, our findings can be tested experimentally.", "revisions": [ { "version": "v1", "updated": "2016-01-17T23:42:43.000Z" } ], "analyses": { "keywords": [ "quantum thermodynamics", "critical scaling", "density matrix renormalization group computations", "irreversible work", "performing density matrix renormalization group" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160104368B" } } }