Decay of Bogoliubov excitations in one-dimensional Bose gases
- University of Toulouse (France). Laboratory of Theoretical Physics
- Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
For this research, 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. Finally, 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.
- Research Organization:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- Grant/Contract Number:
- AC02-06CH11357
- OSTI ID:
- 1352587
- Alternate ID(s):
- OSTI ID: 1261229
- Journal Information:
- Physical Review B, Vol. 94, Issue 2; ISSN 2469-9950
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Quasiparticle decay in a one-dimensional Bose-Fermi mixture
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journal | January 2017 |
Spin-charge separation effects in the low-temperature transport of one-dimensional Fermi gases
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journal | January 2019 |
Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
|
journal | January 2017 |
| Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution | text | January 2016 |
| Quasiparticle decay in a one-dimensional Bose-Fermi mixture | text | January 2016 |
| Field-theoretical approach to the Casimir-like interaction in a one-dimensional Bose gas | text | January 2019 |
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