Heat rectification on the XX chain

Abstract

In order to better understand the minimal ingredients for thermal rectification, we perform a detailed investigation of a simple spin chain, namely, the open XX 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.

11 pages, 7 figures

References in corpus (16)

• Phononics: Manipulating heat flow with electronic analogs and beyond
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Thermal diode: Rectification of heat flux
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier
• Reconciliation of quantum local master equations with thermodynamics
• Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
• The thermodynamic cost of driving quantum systems by their boundaries
• Towards quantum simulation with circular Rydberg atoms
• Reversal of Thermal Rectification in Quantum Systems
• Thermal Rectification in Graded Materials
• Simulating Quantum Spin Models using Rydberg-Excited Atomic Ensembles in Magnetic Microtrap Arrays
• Energy Rectification in Quantum Graded Spin Chains: Analysis of the XXZ Model
• Heat, Work and Energy Currents in the Boundary-Driven XXZ Spin Chain
• Perfect Thermal Rectification in a Many-Body Quantum Ising Model
• Energy current manipulation and reversal of rectification in graded XXZ spin chains

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