Composite Quantum Phases in Non-Hermitian Systems
arXiv:2304.04588 · doi:10.1103/PhysRevResearch.5.033181
Abstract
Non-Hermitian systems have attracted considerable interest in recent years owing to their unique topological properties that are absent in Hermitian systems. While such properties have been thoroughly characterized in free fermion models, they remain an open question for interacting bosonic systems. In this work, we present a precise definition of quantum phases for non-Hermitian systems and propose a new family of phases referred to as composite quantum phases. We demonstrate the existence of these phases in a one-dimensional spin- system and show their robustness against perturbations through numerical simulations. Furthermore, we investigate the phase diagram of our model, indicating the extensive presence of these new phases in non-Hermitian systems. Our work establishes a new framework for studying and constructing quantum phases in non-Hermitian interacting systems, revealing exciting possibilities beyond the single-particle picture.
9 pages, 6 figures
References in corpus (11)
- Making Sense of Non-Hermitian Hamiltonians
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Observation of Lee-Yang zeros
- Many-body localization in a non-Hermitian quasi-periodic system
- A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
- Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
- Topological spin excitations in non-Hermitian spin chains with a generalized kernel polynomial algorithm
- Non-Hermitian skin effects on many-body localized and thermal phases
- Dynamic magnetization in non-Hermitian quantum spin system
- Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
- Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature