An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System

• URL: http://arxiv.org/abs/2409.04112v1
• Date: Fri, 6 Sep 2024 08:28:58 GMT
• Title: An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• Authors: Yue Wang, Xiangyu Zhang, Zhesen Yang, Congjun Wu,
• Abstract summary: We present an explicit Bethe-ansatz wavefunction to a 1D spin-$frac12$ interacting fermion system. We show a resonance resulting from the interplay between interaction and non-Hermitian spin-orbit coupling.
• Score: 9.980836334866664
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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