Experimental Observation of Bethe Strings

Abstract

Almost one century ago, string states - complex bound states (Wellenkomplexe) of magnetic excitations - have been predicted to exist in one-dimensional quantum magnets and since then become a subject of intensive theoretical study. However, experimental realization and identification of string states in condensed-matter systems remains an unsolved challenge up to date. Here we use high-resolution terahertz spectroscopy to identify string states in the antiferromagnetic Heisenberg-Ising chain SrCo2V2O8 in strong longitudinal magnetic fields. We observe complex bound states (strings) and fractional magnetic excitations (psinons and antipsinons) in the field-induced critical regime, which are precisely described by the Bethe ansatz. Our study reveals that two-string and three-string states govern the quantum spin dynamics close to the quantum criticality, while the fractional excitations are dominant at low energies, reflecting the antiferromagnetic quantum fluctuations.

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• Efimov effect in quantum magnets
• Magnetic correlations of the quasi-one-dimensional half-integer spin-chain antiferromagnets Sr$M_2$V${}_2$O${}_8$ ($M$ = Co, Mn)
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Cited by in corpus (81)

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• Quantum Criticality of an Ising-like Spin-1/2 Antiferromagnetic Chain in Transverse Magnetic Field
• Experimental signatures of quantum and topological states in frustrated magnetism
• Dispersions of Many-Body Bethe strings
• Quantum Critical Dynamics of a Heisenberg-Ising Chain in a Longitudinal Field: Many-Body Strings versus Fractional Excitations
• Observation of E8 Particles in an Ising Chain Antiferromagnet
• High-harmonic generation by electric polarization, spin current, and magnetization
• Anomalous transport from hot quasiparticles in interacting spin chains
• Experimental Observation of Quantum Many-Body Excitations of $E_8$ Symmetry in the Ising Chain Ferromagnet CoNb${}_2$O${}_6$
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• Atomtronic protocol designs for NOON states
• Non-linear fluctuating hydrodynamics for KPZ scaling in isotropic spin chains
• Preparing Bethe Ansatz Eigenstates on a Quantum Computer
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• Vibrational dressing in Kinetically Constrained Rydberg Spin Systems
• Emergent many-body composite excitations of interacting spin-1/2 trimers
• Tomonaga-Luttinger liquid spin dynamics in the quasi-one dimensional Ising-like antiferromagnet BaCo${}_2$V${}_2$O${}_8$
• Probing magnon dynamics and interactions in a ferromagnetic spin-1 chain
• One-dimensional Quantum Spin Dynamics of Bethe String States
• Fractional and composite excitations of antiferromagnetic quantum spin trimer chains
• Observation of 4- and 6-magnon bound-states in the spin-anisotropic frustrated antiferromagnet FeI${}_2$
• Cascade of singularities in the spin dynamics of a perturbed quantum critical Ising chain
• Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects
• Cluster mean field study of the Heisenberg model for CuInVO${}_5$
• Quantum Spin Supersolid as a precursory Dirac Spin Liquid in a Triangular Lattice Antiferromagnet
• Gapped ground state in the zigzag pseudospin-1/2 quantum antiferromagnetic chain compound PrTiNbO6
• Finite temperature dynamics in gapped 1D models in the sine-Gordon family
• Three-body bound states in antiferromagnetic spin ladders
• Phase diagram and quantum criticality of Heisenberg spin chains with Ising-like interchain couplings -- Implication to YbAlO${}_3$
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• Kondo effect in the isotropic Heisenberg spin chain
• Quenches and confinement in a Heisenberg-Ising spin ladder
• Thermal control of spin excitations in the coupled Ising-chain material RbCoCl3
• Magnetic phase diagram of the quantum spin chain compound SrCo${}_2$V${}_2$O${}_8$: a single-crystal neutron diffraction study in magnetic field
• Confinement in the spectrum of a Heisenberg-Ising spin ladder
• The Heisenberg spin-1/2 XXZ chain in the presence of electric and magnetic fields
• From "Weak" to "Strong" Hole Confinement in a Mott Insulator
• Magnetic excitations in the one-dimensional Heisenberg-Ising model with external fields and their experimental realizations
• Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction
• Magnetic order in the quasi-one-dimensional Ising system RbCoCl${}_3$
• Exact dimer phase with anisotropic interaction for one dimensional magnets
• Quantum phase transitions and composite excitations of antiferromagnetic spin trimer chains in a magnetic field
• Quantum Supercritical Regime with Universal Magnetocaloric Scaling in Ising Magnets
• Phase transitions and spin dynamics of the quasi-one dimensional Ising-like antiferromagnet BaCo${}_2$V${}_2$O${}_8$ in a longitudinal magnetic field
• Field-Tuned Quantum Effects in a Triangular-Lattice Ising Magnet
• Quantum spiral spin-tensor magnetism
• Field-induced antiferromagnetism and Tomonaga-Luttinger liquid behavior in the quasi-one-dimensional Ising-Antiferromagnet SrCo2V2O8
• Revealing Quadrupolar Excitations with Non-Linear Spectroscopy
• Universality of Heisenberg-Ising chain in external fields
• Bethe strings in the dynamical structure factor of the spin-1/2 Heisenberg XXX chain
• Zigzag materials: selective interchain couplings control the coexistence of one-dimensional physics and deviations from it
• Spinon continuum in the Heisenberg quantum chain compound Sr${}_2$V${}_3$O${}_9$
• The role of q-spin singlet pairs of physical spins in the dynamical properties of the spin-1/2 Heisenberg-Ising XXZ chain
• Confinement of many-body Bethe strings
• Emergent Berezinskii-Kosterlitz-Thouless and Kugel-Khomskii physics in the triangular lattice bilayer colbaltate
• Na${}_5$Co${}_{15.5}$Te${}_6$O${}_{36}$: an $S$ = 1/2 stacked Ising kagome antiferromagnet with a partially disordered ground state
• Repulsively bound magnon excitations of a spin-1/2 XXZ chain in a staggered transverse field
• Inhomogeneous spin excitations in weakly coupled spin-1/2 chains
• Low-energy spin excitations in field-induced phases of the spin-ladder antiferromagnet BiCu${}_2$PO${}_6$
• Interacting triplons in frustrated spin ladders: Binding and decay in BiCu${}_2$PO${}_6$
• Successive magnetic orderings in the Ising spin chain magnet DyNi${}_5$Ge${}_3$
• Triplons, triplon pairs and dynamical symmetries in laser-driven Shastry-Sutherland magnets
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• Photon-induced droplet-like bound states in one-dimensional qubit array
• Excitation Spectra of one-dimensional spin-1/2 Fermi gas with an attraction
• An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• 1/5 and 1/3 magnetization plateaux in the spin 1/2 chain system YbAlO3
• Bethe strings in the spin dynamical structure factor of the Mott-Hubbard phase in one-dimensional fermionic Hubbard model
• Tails of Instability and Decay: a Hydrodynamic Perspective
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• High-accuracy evaluation of non-thermal magnetic states beyond spin-wave theory: applications to higher-energy states
• Quantum spin dynamics of the honeycomb magnet K${}_2$Co${}_2$TeO${}_6$ in high magnetic fields
• Magnetic Ground State and Spin Excitations in the 2D Trimerized Collinear-II Lattice Antiferromagnet Li2Ni3P4O14
• Ising spin-1/2 XXZ chain's quantum problems beyond the spinon paradigm
• Bound-state confinement after trap-expansion dynamics in integrable systems
• Emergent quasi-particles of spin-1 trimer chain
• Fermionic Approach to Elementary Excitations and Magnetization Plateaus in an S=1/2 XX Hybrid Trimer-Dimer Chain
• Exploring Low-Dimensional Magnetism in Cobalt Vanadates, $A$CoV${}_2$O${}_7$~($A$~=~Ca, Sr) : Crystal Growth and Magnetic Properties of Effective Spin-1/2 Zigzag Chains