Exact solution of a non-Hermitian PT -symmetric spin chain

DOI10.1088/1751-8121/ace56ezbMath1529.81067arXiv2301.06004OpenAlexW4383498448MaRDI QIDQ6176500

Unnamed Author, Unnamed Author, Natan Andrei

Publication date: 25 July 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.06004

zbMATH Keywords

Bethe ansatzopen quantum systemnon-Hermitian Hamiltonianeigenstate phase transitionboundary phase transition

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Open systems, reduced dynamics, master equations, decoherence (81S22) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

• Unnamed Item
• Unnamed Item
• Partition function of the eight-vertex lattice model
• PT-symmetric deformations of integrable models
• Calculation of the hidden symmetry operator for a -symmetric square well
• PTsymmetry of the non-Hermitian XX spin-chain: non-local bulk interaction from complex boundary fields
• A spin chain model with non-Hermitian interaction: the Ising quantum spin chain in an imaginary field
• Boundary bound states and boundary bootstrap in the sine-Gordon model with Dirichlet boundary conditions
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Boundary conditions for integrable quantum systems
• Boundary K-matrices for the XYZ, XXZ and XXX spin chains
• Direct calculation of the boundary S-matrix for the open Heisenberg chain
• PT-symmetric non-Hermitian quantum many-body system using ultracold atoms in an optical lattice with controlled dissipation
• Free parafermions
• PT symmetry on the lattice: the quantum group invariantXXZspin chain

This page was built for publication: Exact solution of a non-Hermitian PT -symmetric spin chain