{ "id": "0706.2757", "version": "v1", "published": "2007-06-19T10:42:36.000Z", "updated": "2007-06-19T10:42:36.000Z", "title": "Controlled dynamics of qubits in the presence of decoherence", "authors": [ "D. D. Bhaktavatsala Rao" ], "comment": "9 pages, 7 figures", "journal": "Phys. Rev. A 76, 042312 (2007)", "doi": "10.1103/PhysRevA.76.042312", "categories": [ "quant-ph", "cond-mat.mes-hall" ], "abstract": "An exactly solvable model for the decoherence of one and two-qubit states interacting with a spin-bath, in the presence of a time-dependent magnetic field is studied. The magnetic field is static along $\\hat{z}$ direction and oscillatory in the transverse plane. The transition probability and Rabi oscillations between the spin-states of a single qubit is shown to depend on the size of bath, the distribution of qubit-bath couplings and the initial bath polarization. In contrast to the fast Gaussian decay for short times, the polarization of the qubit shows an oscillatory power-law decay for long times. The loss of entanglement for the maximally entangled two-qubit states, can be controlled by tuning the frequency of the rotating field. The decay rates of entanglement and purity for all the Bell-states are same when the qubits are non-interacting, and different when they are interacting.", "revisions": [ { "version": "v1", "updated": "2007-06-19T10:42:36.000Z" } ], "analyses": { "subjects": [ "03.67.Lx", "03.65.Yz", "73.21.La", "85.35.Be" ], "keywords": [ "controlled dynamics", "decoherence", "two-qubit states", "fast gaussian decay", "time-dependent magnetic field" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2007, "month": "Oct", "volume": 76, "number": 4, "pages": "042312" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007PhRvA..76d2312B" } } }