Quantum criticality in interacting bosonic Kitaev-Hubbard models

Abstract

Motivated by recent work on the non-Hermitian skin effect in the bosonic Kitaev-Majorana model, we study the quantum criticality of interacting bosonic Kitaev-Hubbard models on a chain and a two-leg ladder. In the hard-core limit, we show exactly that the non-Hermitian skin effect disappears via a transformation from hard-core bosonic models to spin-1/2 models. We also show that hard-core bosons can engineer the Kitaev interaction, the Dzyaloshinskii-Moriya interaction and the compass interaction in the presence of the complex hopping and pairing terms. Importantly, quantum criticalities of the chain with a three-body constraint and unconstrained soft-core bosons are investigated by the density matrix renormalization group method. This work reveals the effect of many-body interactions on the non-Hermitian skin effect and highlights the power of bosons with pairing terms as a probe for the engineering of interesting models and quantum phase transitions.

9 pages, 6 figures

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Cited by in corpus (13)

• Topological Non-Hermitian skin effect
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Quantum Simulation of the Bosonic Kitaev Chain
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Hidden exceptional point, localization-delocalization phase transition in Hermitian bosonic Kitaev model
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Dynamical scaling laws in the quantum $q$-state clock chain
• Higher order coherence as witness of exceptional point in Hermitian bosonic Kitaev dimer
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Probing quantum phase transition in a staggered Bosonic Kitaev chain via layer-resolved localization-delocalization transition
• Hierarchic superradiant phases in anisotropic Dicke model