Work

Chiral eigenbases of the XX and XY quantum spin chains

Year: 2025

Type: article

Abstract: We calculate the values of observables in chiral eigenstates of the XX quantum spin chain that were introduced in previous work and compare the form of the result with the respective expressions obtained in the more familiar eigenbasis of states with fixed magnetization in the $z$ direction. We carry out the diagonalization of the XY spin chain in the chiral basis. We calculate the norm of the chiral XY eigenstates, and the values of the one-point functions and some neighbor two-point correlation functions. We interpret the spectrum and the particle content of the XY chain in terms of scattering states of an even number of kink and antikink excitations that are created over a reduced Brillouin zone.

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

DOI: 10.1103/physrevb.111.094437

Authors: Xin Zhang, Frank Göhmann, Andreas Klümper, Vladislav Popkov

Institutions: Chinese Academy of Sciences, Institute of Physics, University of Wuppertal, University of Ljubljana

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, National Natural Science Foundation of China, Chinese Academy of Sciences, European Research Council

Awards: G1170140333, G136828775, G1656604150, G553641481, G6923507189