Manipulating energy and spin currents in nonequilibrium systems of interacting qubits

Abstract

We consider generic interacting chain of qubits, which are coupled at the edges to baths of fixed polarizations. We can determine the nonequilibrium steady states, described by the fixed point of the Lindblad Master Equation. Under rather general assumptions about local pumping and interactions, symmetries of the reduced density matrix are revealed. The symmetries drastically restrict the form of the steady density matrices in such a way that an exponentially large subset of one--point and many--point correlation functions are found to vanish. As an example we show how in a Heisenberg spin chain a suitable choice of the baths can completely switch off either the spin or the energy current, or both of them, despite the presence of large boundary gradients.

8 pages, 3 Figures

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• Tensor-network method to simulate strongly interacting quantum thermal machines
• Driven isotropic Heisenberg spin chain with arbitrary boundary twisting angle: exact results
• Harnessing symmetry to control quantum transport
• Non-equilibrium quantum chains under multi-site Lindblad baths
• Energy Rectification in Quantum Graded Spin Chains: Analysis of the XXZ Model
• Microscopic theory of a non-equilibrium open bosonic chain
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• The open Heisenberg chain under boundary fields: a magnonic logic gate
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• Thermal Rectification in Classical and Quantum Systems: Searching for Efficient Thermal Diodes
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• Exact steady state of the open XX-spin chain: entanglement and transport properties
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• On the complexity of the steady-state of weakly symmetric open quantum lattices
• One-way street for the energy current: A ubiquitous phenomenon in boundary-driven quantum spin chains
• Extractable energy from quantum superposition of current states
• Exact Model Reduction for Continuous-Time Open Quantum Dynamics
• Transport in boundary-driven quantum spin systems: One-way street for the energy current
• Nonadiabatic evolution and thermodynamics for a boundary-driven system with a weak intrasubsystem interaction