Hilbert Space Black Hole Analog: Unidirectional Transport without Driving

TL;DR

This paper demonstrates that many-body interactions in optical lattices can create a unidirectional quantum transport phenomenon analogous to a black hole's event horizon, enabling coherent rectification without external driving.

Contribution

It introduces a novel mechanism where interactions alone produce a Hilbert space boundary, leading to unidirectional transport akin to a black hole's event horizon.

Findings

Unidirectional transport arises from many-body interactions.

The system creates an effective one-way boundary in Hilbert space.

This mechanism enables coherent rectification in atomtronic circuits.

Abstract

Black holes permit matter to cross their event horizon in only one direction. We show that interacting bosons in optical lattices with asymmetric barrier exhibit an analogous phenomenon, creating unidirectional quantum transport without external driving or dissipation. This directionality emerges purely from many-body interactions, which cause asymmetric projection of the initial state onto transport-enabled or transport-forbidden sectors. The resulting dynamics create an effective one-way boundary in Hilbert space, forming a quantum analog of a black-hole event horizon. Our results establish interactions as a fundamentally new route to directional transport, enabling coherent rectification in atomtronic circuits by the use of intrinsic properties of the system only.