Energy current and thermal conductivity for Josephson-junction array models of granular superconductors

Deppe, J.; Feldman, Joseph L.

doi:10.1103/physrevb.50.6479

Cited by 6 publications

(7 citation statements)

References 22 publications

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“…This is a well-established procedure introduced by Hardy [34], and which was largely adopted by a large number of subsequent papers (see e.g. [35][36][37][38][39].) There is some freedom in the definition of local energy density, but for a Hamiltonian of the form…”

Section: A Energy Currents In Fmomentioning

confidence: 99%

Exciton transfer dynamics and quantumness of energy transfer in the Fenna-Matthews-Olson complex

2011

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We present numerically exact results for the quantum coherent energy transfer in the Fenna-Matthews-Olson molecular aggregate under realistic physiological conditions, including vibrational fluctuations of the protein and the pigments for an experimentally determined fluctuation spectrum. We find coherence times shorter than observed experimentally. Furthermore, we determine the energy transfer current and quantify its "quantumness" as the distance of the density matrix to the classical pointer states for the energy current operator. Most importantly, we find that the energy transfer happens through a "Schrödinger-cat-like" superposition of energy current pointer states.

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Section: A Energy Currents In Fmomentioning

confidence: 99%

Exciton transfer dynamics and quantumness of energy transfer in the Fenna-Matthews-Olson complex

2011

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“…There are several approaches for studying the thermal response of JJs and JJAs based on phenomenology of the Josephson effect in the presence of thermal gradients (see, e.g., [14,15,16,17]…”

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confidence: 99%

Influence of chemical pressure effects on nonlinear thermal conductivity of intrinsically granular superconductors

Sergeenkov¹

2007

Journal of Applied Physics

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Using a 2D model of capacitively coupled Josephson junction arrays (created by a network of twin boundary dislocations with strain fields acting as an insulating barrier between hole-rich domains in underdoped crystals), we study the influence of chemical pressure (∇µ) on nonlinear (i.e., ∇T -dependent) thermal conductivity (NLTC) of an intrinsically granular superconductor.Quite a substantial enhancement of NLTC is predicted when intrinsic chemoelectric field E µ ∝ ∇µ closely matches the externally produced thermoelectric field E T ∝ ∇T . The estimates of the model parameters suggest a realistic possibility to experimentally monitor this effect in non-stoichiometric high-T C superconductors. background. In particular, it was found that at low levels of hole doping (δ < 0.2), the

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“…A. Energy currents in the transport First, we derive the energy current operator for our system utilizing a well-developed theory by Hardy [53] which was widely used by a large amount of succeeding literatures [54][55][56][57][58]. An energy current operator j (x) can be obtained from a continuity equation…”

Section: Quantumness Of Energy Current In Eetmentioning

confidence: 99%

Dynamics and quantumness of excitation energy transfer through a complex quantum network

2014

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Understanding the mechanisms of efficient and robust energy transfer in organic systems provides us with new insights for the optimal design of artificial systems. In this paper, we explore the dynamics of excitation energy transfer (EET) through a complex quantum network by a toy model consisting of three sites coupled to environments. We study how the coherent evolution and the noiseinduced decoherence work together to reach efficient EET and illustrate the role of the phase factor attached to the coupling constant in the EET. By comparing the differences between the Markovian and non-Markovian dynamics, we discuss the effect of environment and the spatial structure of system on the dynamics and the efficiency of EET. A intuitive picture is given to show how the exciton is transferred through the system. Employing the simple model, we show the robustness of EET efficiency under the influence of the environment and elucidate the important role of quantum coherence in EET. We go further to study the quantum feature of the EET dynamics by quantumness and show the importance of quantum coherence from a new respect. We calculate the energy current in the EET and its quantumness, results for different system parameters are presented and discussed.

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Energy current and thermal conductivity for Josephson-junction array models of granular superconductors

Cited by 6 publications

References 22 publications

Exciton transfer dynamics and quantumness of energy transfer in the Fenna-Matthews-Olson complex

Exciton transfer dynamics and quantumness of energy transfer in the Fenna-Matthews-Olson complex

Influence of chemical pressure effects on nonlinear thermal conductivity of intrinsically granular superconductors

Dynamics and quantumness of excitation energy transfer through a complex quantum network

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