2,370 research outputs found

    Quantum transport efficiency and Fourier's law

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    We analyze the steady-state energy transfer in a chain of coupled two-level systems connecting two thermal reservoirs. Through an analytic treatment we find that the energy current is independent of the system size, hence violating Fourier's law of heat conduction. The classical diffusive behavior in Fourier's law of heat conduction can be recovered by introducing decoherence to the quantum systems constituting the chain. Implications of these results on energy transfer in biological light harvesting systems, and the role of quantum coherences and entanglement are discussed.Comment: 6 pages, 4 figure

    Duality and Pro-Spectra

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    Cofiltered diagrams of spectra, also called pro-spectra, have arisen in diverse areas, and to date have been treated in an ad hoc manner. The purpose of this paper is to systematically develop a homotopy theory of pro-spectra and to study its relation to the usual homotopy theory of spectra, as a foundation for future applications. The surprising result we find is that our homotopy theory of pro-spectra is Quillen equivalent to the opposite of the homotopy theory of spectra. This provides a convenient duality theory for all spectra, extending the classical notion of Spanier-Whitehead duality which works well only for finite spectra. Roughly speaking, the new duality functor takes a spectrum to the cofiltered diagram of the Spanier-Whitehead duals of its finite subcomplexes. In the other direction, the duality functor takes a cofiltered diagram of spectra to the filtered colimit of the Spanier-Whitehead duals of the spectra in the diagram. We prove the equivalence of homotopy theories by showing that both are equivalent to the category of ind-spectra (filtered diagrams of spectra). To construct our new homotopy theories, we prove a general existence theorem for colocalization model structures generalizing known results for cofibrantly generated model categories.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-34.abs.htm

    Quantized time correlation function approach to non-adiabatic decay rates in condensed phase: Application to solvated electrons in water and methanol

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    A new, alternative form of the golden rule formula defining the non-adiabatic transition rate between two quantum states in condensed phase is presented. The formula involves the quantum time correlation function of the energy gap, of the non-adiabatic coupling, and their cross terms. Those quantities can be inferred from their classical counterparts, determined via MD simulations. The formalism is applied to the problem of the non-adiabatic relaxation of an equilibrated p-electron in water and methanol. We find that, in both solvent, the relaxation is induced by the coupling to the vibrational modes and the quantum effects modify the rate by a factor of 2-10 depending on the quantization procedure applied. The resulting p-state lifetime for a hypothetical equilibrium excited state appears extremely short, in the sub-100 fs regime. Although this result is in contrast with all previous theoretical predictions, we also illustrate that the lifetimes computed here are very sensitive to the simulated electronic quantum gap and to the strongly correlated non-adiabatic coupling

    Quasiparticle spectrum of d-wave superconductors in the mixed state: a large Fermi-velocity anisotropy study

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    The quasiparticle spectrum of a two-dimensional d-wave superconductor in the mixed state, H_c1 << H << H_c2, is studied for large values of the ``anisotropy ratio'' alpha_D = v_F/v_Delta. For a square vortex lattice rotated by 45 degrees from the quasiparticle anisotropy axes (and the usual choice of Franz--Tesanovic singular gauge transformation) we determine essential features of the band structure asymptotically for large alpha_D, using an effective one-dimensional model, and compare them to numerical calculations. We find that several features of the band structure decay to zero exponentially fast for large alpha_D. Using a different choice of singular gauge transformation, we obtain a different band structure, but still find qualitative agreement between the 1D and full 2D calculations. Finally, we distort the square lattice into a non-Bravais lattice. Both the one- and two-dimensional numerical calculations of the energy spectra show a gap around zero-energy, with our gauge choice, and the two excitation spectra agree reasonably well.Comment: 14 pages, 13 figures, revte

    Painful losses

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    Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/134073/1/jhm2610-sup-0001-suppinfo.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/134073/2/jhm2610.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/134073/3/jhm2610-sup-0002-suppinfo.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/134073/4/jhm2610-sup-0005-suppinfo.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/134073/5/jhm2610-sup-0003-suppinfo.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/134073/6/jhm2610-sup-0004-suppinfo.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/134073/7/jhm2610_am.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/134073/8/jhm2610-sup-0007-suppinfo.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/134073/9/jhm2610-sup-0006-suppinfo.pd

    Response to Questions in the First White Paper, \u27Modernizing the Communications Act\u27

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    The House Energy and Commerce Committee has begun a process to review and update the Communications Act of 1934, last revised in any material way in 1996. As the Committee begins the review process, this paper responds to questions posed by the Committee that all relate, in fundamental ways, to the question: What should a modern Communications Act look like? The Response advocates a clean slate approach under which the regulatory silos that characterize the current statute would be eliminated, along with almost all of the ubiquitous \u27public interest\u27 delegation of authority found throughout the Communications Act. The replacement regime would have at its core a new competition-based standard that, except in limited circumstances, would require that the FCC\u27s regulatory activities be tied to findings of consumer harm resulting from lack of sufficient competition. The FCC\u27s authority to adopt broad anticipatory rules on an ex ante basis would be substantially circumscribed, and the agency would be required to rely more heavily than is presently the case on ex post adjudication of individual complaints alleging specific abuses of market power and consumer harm. Some aspects of the FCC\u27s current jurisdiction, such as privacy and data security regulation, might be transferred to the FTC in light of the FTC\u27s institutional competence in these areas

    Response to Questions in the First White Paper, \u27Modernizing the Communications Act\u27

    Get PDF
    The House Energy and Commerce Committee has begun a process to review and update the Communications Act of 1934, last revised in any material way in 1996. As the Committee begins the review process, this paper responds to questions posed by the Committee that all relate, in fundamental ways, to the question: What should a modern Communications Act look like? The Response advocates a clean slate approach under which the regulatory silos that characterize the current statute would be eliminated, along with almost all of the ubiquitous \u27public interest\u27 delegation of authority found throughout the Communications Act. The replacement regime would have at its core a new competition-based standard that, except in limited circumstances, would require that the FCC\u27s regulatory activities be tied to findings of consumer harm resulting from lack of sufficient competition. The FCC\u27s authority to adopt broad anticipatory rules on an ex ante basis would be substantially circumscribed, and the agency would be required to rely more heavily than is presently the case on ex post adjudication of individual complaints alleging specific abuses of market power and consumer harm. Some aspects of the FCC\u27s current jurisdiction, such as privacy and data security regulation, might be transferred to the FTC in light of the FTC\u27s institutional competence in these areas
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