Non-Hermitian fractional quantum Hall states

DOI IR HANDLE PDF Web Site 27 Citations 84 References Open Access

Abstract

<jats:title>Abstract</jats:title><jats:p>We demonstrate the emergence of a topological ordered phase for non-Hermitian systems. Specifically, we elucidate that systems with non-Hermitian two-body interactions show a fractional quantum Hall (FQH) state. The non-Hermitian Hamiltonian is considered to be relevant to cold atoms with dissipation. We conclude the emergence of the non-Hermitian FQH state by the presence of the topological degeneracy and by the many-body Chern number for the ground state multiplet showing <jats:italic>C</jats:italic><jats:sub>tot</jats:sub> = 1. The robust topological degeneracy against non-Hermiticity arises from the manybody translational symmetry. Furthermore, we discover that the FQH state emerges without any repulsive interactions, which is attributed to a phenomenon reminiscent of the continuous quantum Zeno effect.</jats:p>

Journal

Citations (27)*help

See more

References(84)*help

See more

Related Projects

See more

Details 詳細情報について

Report a problem

Back to top