Heat rectification on the XX chain

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Universidade Federal de Minas Gerais

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Artigo de periódico

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In order to better understand the minimal ingredients for thermal rectification, we perform a detailed investigation of a simple spin chain, namely, the open X X model with a Lindblad dynamics involving global dissipators. We use a Jordan-Wigner transformation to derive a mathematical formalism to compute the heat currents and other properties of the steady state. We have rigorous results to prove the occurrence of thermal rectification even for slightly asymmetrical chains. Interestingly, we describe cases where the rectification does not decay to zero as we increase the system size, that is, the rectification remains finite in the thermodynamic limit. We also describe some numerical results for more asymmetrical chains. The presence of thermal rectification in this simple model indicates that the phenomenon is of general occurrence in quantum spin systems.

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Sistemas quânticos, Mecânica quântica estatística, Propriedades térmicas, Fenômeno de transporte, Calor, Retificação

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Open quantum systems, Quantum statistical mechanics, Quantum thermodynamics, Quantum transport, Thermal properties, Transport phenomena

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https://journals.aps.org/pre/abstract/10.1103/PhysRevE.102.062146

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