Work

Fate of non-Hermitian free fermions with Wannier-Stark ladder

Year: 2024

Type: article

Abstract: The Wannier-Stark localization dynamically alters the entanglement behavior of non-Hermitian free fermions. Utilizing the single-particle correlation matrix technique, we analyze the effective Hamiltonian of these fermions with a Wannier-Stark ladder. Under open boundary conditions, we observe steady-state half-chain entanglement entropy (EE) and identify two distinct area-law regions and an algebraic scaling region. Finite-sized scaling analysis reveals critical scaling behavior of the half-chain EE. Notably, the system demonstrates unique entanglement characteristics under periodic boundary conditions, which diverge from the $(1+1)d$ conformal field theory predictions for Anderson localization. Our findings highlight entanglement phases emerging from the interplay between the non-Hermitian skin effect and disorder-free localization.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.110.094310

Authors: Han-Ze Li, Minhui Wan, Jian-Xin Zhong

Institutions: Shanghai University, Xiangtan University

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Center for Integrated Quantum Science and Technology, National Key Research and Development Program of China, Program for Changjiang Scholars and Innovative Research Team in University

Awards: G1009022398, G4520441475, G4560199820, G4838927321, G5299674257