4,739 research outputs found

    Relativistic entanglement of two massive particles

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    We describe the spin and momentum degrees of freedom of a system of two massive spin--12\tfrac{1}{2} particles as a 4 qubit system. Then we explicitly show how the entanglement changes between different partitions of the qubits, when considered by different inertial observers. Although the two particle entanglement corresponding to a partition into Alice's and Bob's subsystems is, as often stated in the literature, invariant under Lorentz boosts, the entanglement with respect to other partitions of the Hilbert space on the other hand, is not. It certainly does depend on the chosen inertial frame and on the initial state considered. The change of entanglement arises, because a Lorentz boost on the momenta of the particles causes a Wigner rotation of the spin, which in certain cases entangles the spin- with the momentum states. We systematically investigate the situation for different classes of initial spin states and different partitions of the 4 qubit space. Furthermore, we study the behavior of Bell inequalities for different observers and demonstrate how the maximally possible degree of violation, using the Pauli-Lubanski spin observable, can be recovered by any inertial observer.Comment: 17 pages, 4 figure

    Morbidity in patients with clinically localized prostate cancer managed with non-curative intent. A population-based case-control study

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    To compare the morbidity in patients with newly diagnosed clinically localized prostate cancer managed conservatively with the morbidity in a randomly selected age-matched background population with no history of prostate cancer. Patients younger than 75 y at diagnosis with newly diagnosed clinically localized prostate cancer reported to the Danish Cancer Registry in the period 1977-1992. Morbidity in patients and age-matched controls was extracted from The Danish Hospital Discharge Registry. Admissions were stratified by discharge diagnosis. Overall 4744 patients were hospitalized for 251,695 days within the first 10 y following diagnosis compared with 74,563 days in 4774 age-matched controls. The patients were admitted 6.7 (6.4-7.1) times more often than controls in the year following diagnosis, and 2.7 (2.6-2.8) times more often in the following 9 y. Excess morbidity declined over time. When prostate cancer-related admissions were excluded, the relative risk of admission was reduced to 1.35 (1.3-1.4) and 0.86 (0.83-0.89), respectively. The estimated costs associated with deferred therapy in patients with clinically localized prostate cancer exceeded the estimated cost in age-matched controls by approximately US88million,equivalenttoanaverageextracostperpatientofapproximatelyUS88 million, equivalent to an average extra cost per patient of approximately US18,500. Patients with clinically localized prostate cancer managed conservatively had a significantly higher morbidity than age-matched controls due to admissions associated with prostate cancer. In future comparisons of treatment strategies, morbidity following treatment and impact on quality of life have to be included when evaluating the outcome

    Dissolution of calcium carbonate: observations and model results in the subpolar North Atlantic

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    We investigate the significance of in situ dissolution of calcium carbonate above its saturation horizons using observations from the open subpolar North Atlantic [sNA] and to a lesser extent a 3-D biogeochemical model. The sNA is particularly well suited for observation-based detections of in situ, i.e. shallow-depth CaCO3 dissolution [SDCCD] as it is a region of high CaCO3 production, deep CaCO3 saturation horizons, and precisely-defined pre-formed alkalinity. Based on the analysis of a comprehensive alkalinity data set we find that SDCCD does not appear to be a significant process in the open sNA. The results from the model support the observational findings by indicating that there is not a significant need of SDCCD to explain observed patterns of alkalinity in the North Atlantic. Instead our investigation points to the importance of mixing processes for the redistribution of alkalinity from dissolution of CaCO3 from below its saturation horizons. However, mixing has recently been neglected for a number of studies that called for SDCCD in the sNA and on global scale

    Topology and Phases in Fermionic Systems

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    There can exist topological obstructions to continuously deforming a gapped Hamiltonian for free fermions into a trivial form without closing the gap. These topological obstructions are closely related to obstructions to the existence of exponentially localized Wannier functions. We show that by taking two copies of a gapped, free fermionic system with complex conjugate Hamiltonians, it is always possible to overcome these obstructions. This allows us to write the ground state in matrix product form using Grassman-valued bond variables, and show insensitivity of the ground state density matrix to boundary conditions.Comment: 4 pages, see also arxiv:0710.329

    Relativistic quantum clocks

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    The conflict between quantum theory and the theory of relativity is exemplified in their treatment of time. We examine the ways in which their conceptions differ, and describe a semiclassical clock model combining elements of both theories. The results obtained with this clock model in flat spacetime are reviewed, and the problem of generalizing the model to curved spacetime is discussed, before briefly describing an experimental setup which could be used to test of the model. Taking an operationalist view, where time is that which is measured by a clock, we discuss the conclusions that can be drawn from these results, and what clues they contain for a full quantum relativistic theory of time.Comment: 12 pages, 4 figures. Invited contribution for the proceedings for "Workshop on Time in Physics" Zurich 201

    Dissolution of calcium carbonate: observations and model results in the North Atlantic

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    International audienceWe investigate the significance of in situ dissolution of calcium carbonate above its saturation horizons. The study relies on observations from the open subpolar North Atlantic [sNA] and on a 3-D biogeochemical model. The sNA is particularly well suited for observation-based detections of in situ, i.e. shallow depth CaCO3 dissolution [SDCCD] as it is a region of high CaCO3 production, deep CaCO3 saturation horizons, and precisely-defined pre-formed alkalinity. Based on the analysis of a comprehensive alkalinity data set we find that SDCCD does not appear to be a significant process in the open sNA. The results from the model support the observational findings and do not indicate a significant need of SDCCD to explain observed patterns of alkalinity in the North Atlantic. Instead our investigation points to the importance of mixing processes for the redistribution of alkalinity from dissolution of CaCO3 from below its saturation horizons. However, mixing has recently been neglected for a number of studies that called for SDCCD in the sNA and on global scale
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