Adapted continuous unitary transformation to treat systems with quasiparticles of finite lifetime

Abstract

An improved generator for continuous unitary transformations is introduced to describe systems with unstable quasiparticles. Its general properties are derived and discussed. To illustrate this approach we investigate the asymmetric antiferromagnetic spin-1/2 Heisenberg ladder which allows for spontaneous triplon decay. We present results for the low energy spectrum and the momentum resolved spectral density of this system. In particular, we show the resonance behavior of the decaying triplon explicitly.

40 pages, 12 figures

References in corpus (8)

• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• One- and Two-Triplon Spectra of a Cuprate Ladder
• Magnetic excitations in a bond-centered stripe phase: Spin waves far from the semi-classical limit
• Unifying variational methods for simulating quantum many-body systems
• Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study
• Systematic Mapping of the Hubbard Model to the Generalized t-J Model
• Decay of quasiparticles in quantum spin liquids
• Magnon mode truncation in a rung-dimerized asymmetric spin ladder

Cited by in corpus (42)

• Spontaneous Magnon Decays
• Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
• Roton minimum as fingerprint of magnon-Higgs scattering in ordered quantum antiferromagnets
• Mutually attracting spin waves in the square-lattice quantum antiferromagnet
• Scattering particles in quantum spin chains
• Enhanced Perturbative Continuous Unitary Transformations
• Effective models for gapped phases of strongly correlated quantum lattice models
• "Quasi-particle breakdown" in the quasi-one-dimensional Ising ferromagnet CoNb${}_2$O${}_6$
• Correlated decay of triplet excitations in the Shastry-Sutherland compound SrCu${}_2$(BO${}_3$)${}_2$
• Microscopic model for Bose-Einstein condensation and quasiparticle decay
• Three-body bound states in antiferromagnetic spin ladders
• Derivation of the t-J model for finite doping
• Dispersive Excitations in the One-Dimensional Ionic Hubbard Model
• Finite temperature line-shapes of hard-core bosons in quantum magnets: A diagrammatic approach tested in one dimension
• Excitation Spectrum of One-dimensional Extended Ionic Hubbard Model
• Non-trivial topology of the quasi-one-dimensional triplons in the quantum antiferromagnet ${\text{BiCu}}_2{\text{PO}}_6$
• Multi-Particle Spectral Properties in the Transverse Field Ising Model by Continuous Unitary Transformations
• Orientational bond and Néel order in the two-dimensional ionic Hubbard model
• Minimal model for the frustrated spin ladder system BiCu${}_2$PO${}_6$
• Continuous similarity transformation for critical phenomena: easy-axis antiferromagnetic XXZ model
• Singlet exciton condensation and bond-order-wave phase in the extended Hubbard model
• Efficient flow equations for dissipative systems
• Truncation errors in self-similar continuous unitary transformations
• Vertex corrections in the dynamic structure factor in spin ladders
• Projective cluster-additive transformation for quantum lattice models
• Time-dependent correlations in quantum magnets at finite temperature
• Low temperature thermodynamics of multi-flavored hardcore bosons by the Brückner approach
• Effective Models for the Anderson Impurity and the Kondo Model from Continuous Unitary Transformations
• From Gapped Excitons to Gapless Triplons in One Dimension
• Series expansions in closed and open quantum many-body systems with multiple quasiparticle types
• Massive spinons in $S=1/2$ spin chains: spinon-pair operator representation
• Quantitative description of long-range order in the anisotropic spin-1/2 Heisenberg antiferromagnet on the square lattice
• Quantum melting of long-range ordered quantum antiferromagnets investigated by momentum-space continuous similarity transformations
• Hole Dispersions for Antiferromagnetic Spin-1/2 Two-Leg Ladders by Self-Similar Continuous Unitary Transformations
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Entanglement Continuous Unitary Transformations
• Effective One-Dimensional Models from Matrix Product States
• Interacting triplons in frustrated spin ladders: Binding and decay in BiCu${}_2$PO${}_6$
• Effects of Interactions on Dynamic Correlations of Hard-Core Bosons at Finite Temperatures
• Quantum decay of magnons in the unfrustrated honeycomb Heisenberg model
• Extracting quantum-critical properties from directly evaluated enhanced perturbative continuous unitary transformations
• Quantum effects in the magnon spectrum of 2D altermagnets via continuous similarity transformations