The bosonic skin effect: boundary condensation in asymmetric transport

Abstract

We study the incoherent transport of bosonic particles through a one dimensional lattice with different left and right hopping rates, as modelled by the asymmetric simple inclusion process (ASIP). Specifically, we show that as the current passing through this system increases, a transition occurs, which is signified by the appearance of a characteristic zigzag pattern in the stationary density profile near the boundary. In this highly unusual transport phase, the local particle distribution alternates on every site between a thermal distribution and a Bose-condensed state with broken U(1)-symmetry. Furthermore, we show that the onset of this phase is closely related to the so-called non-Hermitian skin effect and coincides with an exceptional point in the spectrum of density fluctuations. Therefore, this effect establishes a direct connection between quantum transport, non-equilibrium condensation phenomena and non-Hermitian topology, which can be probed in cold-atom experiments or in systems with long-lived photonic, polaritonic and plasmonic excitations.

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• Chaotic and quantum dynamics in driven-dissipative bosonic chains
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• Delocalization of skin steady states
• Liouvillian skin effect in quantum neural networks
• Generation of entanglement and non-stationary states via competing coherent and incoherent bosonic hopping
• A Unified Interface Model for Dissipative Transport of Bosons and Fermions
• Time-periodic driving of a bath-coupled open quantum gas of light
• Finite steady-state current defies non-Hermitian many-body localization
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