Spectrum of a duality-twisted Ising quantum chain

Abstract

The Ising quantum chain with a peculiar twisted boundary condition is considered. This boundary condition, first introduced in the framework of the spin-1/2 XXZ Heisenberg quantum chain, is related to the duality transformation, which becomes a symmetry of the model at the critical point. Thus, at the critical point, the Ising quantum chain with the duality-twisted boundary is translationally invariant, similar as in the case of the usual periodic or antiperiodic boundary conditions. The complete energy spectrum of the Ising quantum chain is calculated analytically for finite systems, and the conformal properties of the scaling limit are investigated. This provides an explicit example of a conformal twisted boundary condition and a corresponding generalised twisted partition function.

LaTeX, 7 pages, using IOP styles

References in corpus (6)

• Generalised twisted partition functions
• The many faces of Ocneanu cells
• The spin-1/2 XXZ Heisenberg chain, the quantum algebra U_q[sl(2)], and duality transformations for minimal models
• Integrable Lattice Realizations of Conformal Twisted Boundary Conditions
• The quantum Ising chain with a generalized defect
• The modified XXZ Heisenberg chain, conformal invariance, surface exponents of c<1 systems, and hidden symmetries of the finite chains

Cited by in corpus (21)

• Topological Defects on the Lattice I: The Ising model
• TFT construction of RCFT correlators II: Unoriented world sheets
• Majorana chain and Ising model -- (non-invertible) translations, anomalies, and emanant symmetries
• Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics
• Entanglement entropy in the Ising model with topological defects
• Fidelity witnesses for fermionic quantum simulations
• From the XXZ chain to the integrable Rydberg-blockade ladder via non-invertible duality defects
• Entanglement entropy and negativity in the Ising model with defects
• Integrable and Conformal Twisted Boundary Conditions for sl(2) A-D-E Lattice Models
• Topological Defects in Floquet Circuits
• The Bubble Algebra: Structure of a Two-Colour Temperley-Lieb Algebra
• Topological order in Josephson junction ladders with Mobius boundary conditions
• Non-integrable Floquet Ising model with duality twisted boundary conditions
• The critical Ising model on a torus with a defect line
• Quantum Electronic Circuits for Multicritical Ising Models
• Isolated zero mode in a quantum computer from a duality twist
• Twofold twist defect chains at criticality
• Exact solution of the critical Ising model with special toroidal boundary conditions
• A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions
• Noninvertible Kramers-Wannier duality symmetries for the discrete-time quantum Ising chain
• Boundary critical phenomena in the quantum Ashkin-Teller model