Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal

• URL: http://arxiv.org/abs/2308.04495v1
• Date: Tue, 8 Aug 2023 18:02:23 GMT
• Title: Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Authors: Stefano Longhi
• Abstract summary: We investigate the spectral and dynamical features of two interacting particles in a non-Hermitian quasi crystal. Doublon states display a much lower threshold for spectral and localization-delocalization transitions than single-particle states. Remarkably, since doublons display longer lifetimes, two particles initially placed in distant sites tend to bunch and stick together, forming a doublon state in the long time limit of evolution.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-interacting particles in non-Hermitian quasi crystals display localization-delocalization and spectral phase transitions in complex energy plane, that can be characterized by point-gap topology. Here we investigate the spectral and dynamical features of two interacting particles in a non-Hermitian quasi crystal, described by an effective Hubbard model in an incommensurate sinusoidal potential with a complex phase, and unravel some intriguing effects without any Hermitian counterpart. Owing to the effective decrease of correlated hopping introduced by particle interaction, doublon states, i.e. bound particle states, display a much lower threshold for spectral and localization-delocalization transitions than single-particle states, leading to the emergence of mobility edges. Remarkably, since doublons display longer lifetimes, two particles initially placed in distant sites tend to bunch and stick together, forming a doublon state in the long time limit of evolution, a phenomenon that can be dubbed {\em non-Hermitian particle bunching}.

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