1. An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
- Author
-
Wang, Yue, Zhang, Xiangyu, Yang, Zhesen, and Wu, Congjun
- Subjects
Condensed Matter - Strongly Correlated Electrons ,Condensed Matter - Quantum Gases ,Quantum Physics - Abstract
We present an explicit Bethe-ansatz wavefunction to a 1D spin-$\frac{1}{2}$ interacting fermion system, manifesting a many-body resonance resulting from the interplay between interaction and non-Hermitian spin-orbit coupling. In the dilute limit, the wavefunction is greatly simplified and then factorized into Slater determinants and a Jastrow factor. An effective thermodynamic distribution is constructed with an effective Hamiltonian including a repulsion resulting from Pauli's exclusion principle and a distinctive zigzag potential arising from the resonance. The competition between these effects leads to a transition from a uniformly distributed configuration to a phase separation. The connection to the recent cold atom experimental efforts of realizing on-site atom-loss is discussed., Comment: 6+4 pages, 2+2 figures
- Published
- 2024