Spectroscopy of a topological phase

Abstract

Dynamical correlation functions of the toric code in a uniform magnetic field are studied inside the topological phase, in the small-field limit. Such an experimentally measurable quantity displays rich field-dependent features that can be understood via the interplay of the kinetics and the interaction of the anyonic excitations. In particular, it is sensitive to the two-quasiparticle bound states that are present in the spectrum for a wide range of magnetic fields. Interestingly, such collective modes can even constitute the lowest-energy excitations of the system.

6 pages, 5 figures, published version

References in corpus (4)

• Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
• Robustness of a perturbed topological phase
• Adiabatic Preparation of Topological Order
• Anyonic interferometry and protected memories in atomic spin lattices

Cited by in corpus (12)

• Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
• Statistics of fractionalized excitations through threshold spectroscopy
• Quantum critical phase transition between two topologically-ordered phases in the Ising toric code bilayer
• Signatures of fractional statistics in nonlinear pump-probe spectroscopy
• Quantum robustness and phase transitions of the 3D Toric Code in a field
• Local convertibility of the ground state of the perturbed Toric code
• Thermalization of Topological Entropy after a Quantum Quench
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Quantum phase transition as an interplay of Kitaev and Ising interactions
• Bound states in string nets
• Quantum robustness of the toric code in a parallel field on the honeycomb and triangular lattice
• ParaToric 1.0: Continuous-time quantum Monte Carlo for the toric code in a parallel field