Decay rates and energies of free magnons and bound states in dissipative XXZ chains
arXiv:1812.07893 · doi:10.1103/PhysRevA.99.063615
Abstract
Chains of coupled two-level atoms behave as 1D quantum spin systems, exhibiting free magnons and magnon bound states. While these excitations are well studied for closed systems, little consideration has been given to how they are altered by the presence of an environment. This will be especially important in systems that exhibit nonlocal dissipation, e.g. systems in which the magnons decay due to optical emission. In this work, we consider free magnon excitations and two-magnon bound states in an XXZ chain with nonlocal dissipation. We prove that whilst the energy of the bound state can lie outside the two-magnon continuum of energies, the decay rate of the bound state has to always lie within the two-magnon continuum of decay rates. We then derive analytically the bound state solutions for a system with nearest-neighbour and next-nearest-neighbour XY interaction and nonlocal dissipation, finding that the inclusion of nonlocal dissipation allows more freedom in engineering the energy and decay rate dispersions for the bound states. Finally, we numerically study a model of an experimental set-up that should allow the realisation of dissipative bound states by using Rydberg-dressed atoms coupled to a photonic crystal waveguide (PCW). We demonstrate that this model can exhibit many key features of our simpler models.
arXiv comment14 pages, 6 figures
References in corpus (27)
- Realizing a lattice spin model with polar molecules
- A Rydberg Quantum Simulator
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Quantum many-body models with cold atoms coupled to photonic crystals
- Atom-Light Interactions in Photonic Crystals
- Microscopic observation of magnon bound states and their dynamics
- Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
- Atom-atom interactions around the band edge of a photonic crystal waveguide
- Quantum Simulation with Interacting Photons
- Atom-field dressed states in slow-light waveguide QED
- Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
- Towards quantum simulation with circular Rydberg atoms
- Multi-magnon bound states in the frustrated ferromagnetic 1D chain
- Observing complex bound states in the spin-1/2 Heisenberg XXZ chain using local quantum quenches
- Two magnon bound state causes ultrafast thermally induced magnetisation switching
- Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
- Bound states and entanglement in the excited states of quantum spin chains
- Simulating Quantum Spin Models using Rydberg-Excited Atomic Ensembles in Magnetic Microtrap Arrays
- Topological magnon bound-states in periodically modulated Heisenberg XXZ chains
- Control of bound-pair transport by periodic driving
- Modified and controllable dispersion interaction in a 1D waveguide geometry
- Effects of local periodic driving on transport and generation of bound states
- Mobile bound states of Rydberg excitations in a lattice
- Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems
- Far-Field Signatures of a Two-Body Bound State in Collective Emission from Interacting Two-Level Atoms on a Lattice
- Probing few-excitation eigenstates of interacting atoms on a lattice by observing their collective light emission in the far field
- Propagation and jamming dynamics in Heisenberg spin ladders