Decay of Bogoliubov excitations in one-dimensional Bose gases

Abstract

We study the decay of Bogoliubov quasiparticles in one-dimensional Bose gases. Starting from the hydrodynamic Hamiltonian, we develop a microscopic theory that enables one to systematically study both the excitations and their decay. At zero temperature, the leading mechanism of decay of a quasiparticle is disintegration into three others. We find that low-energy quasiparticles (phonons) decay with the rate that scales with the seventh power of momentum, whereas the rate of decay of the high-energy quasiparticles does not depend on momentum. In addition, our approach allows us to study analytically the quasiparticle decay in the whole crossover region between the two limiting cases. When applied to integrable models, including the Lieb-Liniger model of bosons with contact repulsion, our theory confirms the absence of the decay of quasiparticle excitations. We account for two types of integrability-breaking perturbations that enable finite decay: three-body interaction between the bosons and two-body interaction of finite range.

arXiv comment17 pages

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Cited by in corpus (16)

• Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
• Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
• Field-theoretical approach to the Casimir-like interaction in a one-dimensional Bose gas
• Thermalization of interacting quasi-one-dimensional systems
• Spontaneous Beliaev-Landau scattering out of equilibrium
• Monitoring currents in cold-atom circuits
• Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates
• Viscous Dissipation in One-Dimensional Quantum Liquids
• Phonon decay in 1D atomic Bose quasicondensates via Beliaev-Landau damping
• Relaxation of phonons in the Lieb-Liniger gas by dynamical refermionization
• Quasiparticle decay in a one-dimensional Bose-Fermi mixture
• Viscous Flow in a 1D Spin-Polarized Fermi Gas: the Role of Integrability on Viscosity
• Damping of elementary excitations in one-dimensional dipolar Bose gases
• Long lifetimes of ultra-hot particles in interacting Fermi systems
• Spin correlation functions and quasiparticle decay
• Bound Bogoliubov quasiparticles in photon superfluids