Quantum tight-binding chains with dissipative coupling

Abstract

We present a one-dimensional tight-binding chain of two-level systems coupled only through common dissipative Markovian reservoirs. This quantum chain can demonstrate anomalous thermodynamic behavior contradicting Fourier law. Population dynamics of individual systems of the chain is polynomial with the order determined by the initial state of the chain. The chain can simulate classically hard problems, such as multi-dimensional random walks.

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Cited by in corpus (8)

• Quantum effects in amplitude death of coupled anharmonic self-oscillators
• Dissipatively Coupled Waveguide Networks for Coherent Diffusive Photonics
• Anderson localization in dissipative lattices
• Topological Protection of Coherence in a Dissipative Environment
• Tutorial: projector approach to master equations for open quantum systems
• Diffusive lossless energy and coherence transfer by noisy coupling
• Rabi-Bloch Oscillations in Spatially Distributed Systems: Temporal Dynamics and Frequency Spectra
• Anomalous transport in periodic photonic chains with designed loss