Transport properties of a boundary-driven one-dimensional gas of spinless fermions

Abstract

We analytically study a system of spinless fermions driven at the boundary with an oscillating chemical potential. Various transport regimes can be observed: at zero driving frequency the particle current through the system is independent of the system's length; at the phase-transition frequency, being equal to the bandwidth, the current decays as n^{-alpha} with the chain length n, alpha being either 2 or 3; below the transition the scaling of the current is n^{-1/2}, indicating anomalous transport, while it is exponentially small exp{(-n/2xi)} above the transition. Therefore, by a simple change of frequency of the a.c. driving one can vary transport from ballistic, anomalous, to insulating.

9 pages, 10 figures

References in corpus (15)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• An Open-System Quantum Simulator with Trapped Ions
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Driven quantum transport on the nanoscale
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
• Spectral theorem for the Lindblad equation for quadratic open fermionic systems
• Crossover between ballistic and diffusive transport: The Quantum Exclusion Process
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Dephasing-induced diffusive transport in anisotropic Heisenberg model
• Non-equilibrium phase transition in a periodically driven XY spin chain
• Stochastic exclusion processes versus coherent transport
• A matrix product solution for a nonequilibrium steady state of an XX chain
• Explicit solution of the Lindblad equation for nearly isotropic boundary driven XY spin 1/2 chain

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• Nonequilibrium Quantum Phase Transitions in the XY model: comparison of unitary time evolution and reduced density matrix approaches
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• Density and current statistics in boundary-driven monitored fermionic chains
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• Effect of dephasing on the current through a periodically driven quantum point contact
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• Fermionic transport through a driven quantum point contact: breakdown of Floquet thermalization beyond a critical driving frequency
• Boundary-driven magnetization transport in the spin-$1/2$ XXZ chain: Role of the system-bath coupling strength and timescales