1,197 research outputs found

    Against Hedonist Interpretations of Plato\u27s Protagoras

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    In this paper, I adapt one of the pro-hedonist strategies to anti-hedonist ends. Just as some prohedonists insist that Plato’s arguments against hedonism elsewhere do not touch the actual theory found in the Protagoras (again, PH), I argue that the most natural reading of PH is inconsistent with views found in purportedly earlier dialogues (especially the Apology and Crito) as well as in purportedly later dialogues (such as the Gorgias, Phaedo, and Republic). In section 1, I argue that PH focuses entirely on bodily goods and bads.11 Then, in section 2, I argue that this makes the relationship between virtue and bodily goods according to PH inconsistent with the relationship between them according to the Apology and Crito. In section 3, I argue that PH is unable to explain why certain actions that Plato uses to display Socrates’ virtue—those in which he risks death for the sake of justice—are in fact just. These inconsistencies undermine pro-hedonists’ developmentalist interpretations of the fit between PH and other dialogues.12 The standard story would have to involve Plato utterly changing his mind on this topic not just once, but twice, with the Protagoras the sole outlier. However, there are other ways of understanding PH that would be consistent with these other dialogues. I explore two such proposals in section 4, and conclude that they run into serious problems, especially as interpretations of PH. So, these proposals require one to give up on the strongest initial argument for pro-hedonism: the presumption that we should take the text of the Protagoras at face value.13 Hence, pro-hedonists who want to make the Protagoras fit with other Platonic works via a developmental hypothesis must either embrace an implausible account of Plato’s intellectual development or else concede that Socrates’ views of goodness in the Protagoras cannot be easily and directly inferred from his presentation of PH

    Dynamics of a nanomechanical resonator coupled to a superconducting single-electron transistor

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    We present an analysis of the dynamics of a nanomechanical resonator coupled to a superconducting single electron transistor (SSET) in the vicinity of the Josephson quasiparticle (JQP) and double Josephson quasiparticle (DJQP) resonances. For weak coupling and wide separation of dynamical timescales, we find that for either superconducting resonance the dynamics of the resonator is given by a Fokker-Planck equation, i.e., the SSET behaves effectively as an equilibrium heat bath, characterised by an effective temperature, which also damps the resonator and renormalizes its frequency. Depending on the gate and drain-source voltage bias points with respect to the superconducting resonance, the SSET can also give rise to an instability in the mechanical resonator marked by negative damping and temperature within the appropriate Fokker-Planck equation. Furthermore, sufficiently close to a resonance, we find that the Fokker-Planck description breaks down. We also point out that there is a close analogy between coupling a nanomechanical resonator to a SSET in the vicinity of the JQP resonance and Doppler cooling of atoms by means of lasers

    Mechanically probing coherent tunnelling in a double quantum dot

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    We study theoretically the interaction between the charge dynamics of a few-electron double quantum dot and a capacitively-coupled AFM cantilever, a setup realized in several recent experiments. We demonstrate that the dot-induced frequency shift and damping of the cantilever can be used as a sensitive probe of coherent inter-dot tunnelling, and that these effects can be used to quantitatively extract both the magnitude of the coherent interdot tunneling and (in some cases) the value of the double-dot T_1 time. We also show how the adiabatic modulation of the double-dot eigenstates by the cantilever motion leads to new effects compared to the single-dot case.Comment: 6 pages, 2 figure

    Introduction to Quantum Noise, Measurement and Amplification

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    The topic of quantum noise has become extremely timely due to the rise of quantum information physics and the resulting interchange of ideas between the condensed matter and AMO/quantum optics communities. This review gives a pedagogical introduction to the physics of quantum noise and its connections to quantum measurement and quantum amplification. After introducing quantum noise spectra and methods for their detection, we describe the basics of weak continuous measurements. Particular attention is given to treating the standard quantum limit on linear amplifiers and position detectors using a general linear-response framework. We show how this approach relates to the standard Haus-Caves quantum limit for a bosonic amplifier known in quantum optics, and illustrate its application for the case of electrical circuits, including mesoscopic detectors and resonant cavity detectors.Comment: Substantial improvements over initial version; include supplemental appendices

    Observation and interpretation of motional sideband asymmetry in a quantum electro-mechanical device

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    Quantum electro-mechanical systems offer a unique opportunity to probe quantum noise properties in macroscopic devices, properties which ultimately stem from the Heisenberg Uncertainty Principle. A simple example of this is expected to occur in a microwave parametric transducer, where mechanical motion generates motional sidebands corresponding to the up and down frequency-conversion of microwave photons. Due to quantum vacuum noise, the rates of these processes are expected to be unequal. We measure this fundamental imbalance in a microwave transducer coupled to a radio-frequency mechanical mode, cooled near the ground state of motion. We also discuss the subtle origin of this imbalance: depending on the measurement scheme, the imbalance is most naturally attributed to the quantum fluctuations of either the mechanical mode or of the electromagnetic field

    Optomechanical circuits for nanomechanical continuous variable quantum state processing

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    We propose and analyze a nanomechanical architecture where light is used to perform linear quantum operations on a set of many vibrational modes. Suitable amplitude modulation of a single laser beam is shown to generate squeezing, entanglement, and state-transfer between modes that are selected according to their mechanical oscillation frequency. Current optomechanical devices based on photonic crystals may provide a platform for realizing this scheme.Comment: 11 pages, 5 figure
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