Integrability breaking in the one dimensional Bose gas: Atomic losses and energy loss

Abstract

The one dimensional $\delta$-function interacting Bose gas (the Lieb-Liniger model) is an integrable system, which can model experiments with ultra cold atoms in one dimensional traps. Even though the model is integrable, integrability breaking effects are always present in the real world experiments. In this work we consider the integrability breaking due to atomic loss, which is the most relevant effect in the experiments. We set up a framework for the exact computation of the losses of the canonical charges of the model, and compute an exact result for the energy loss due to the local $K$-body processes, valid for arbitrary $K$. Our result takes the form of multiple integrals, which are explicitly factorized in the experimentally relevant cases of $K=1,2,3$.

23 pages, v2: references added plus minor changes

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Cited by in corpus (10)

• Onset of many-body quantum chaos due to breaking integrability
• Hydrodynamics of quantum entropies in Ising chains with linear dissipation
• Thermalization of interacting quasi-one-dimensional systems
• Effects of atom losses on a one-dimensional lattice gas of hardcore bosons
• Integrability breaking from backscattering
• Iterative construction of conserved quantities in dissipative nearly integrable systems
• Obstruction to ergodicity in nonlinear Schrödinger equations with resonant potentials
• Information spreading and scrambling in disorder-free multiple-spin interacting models
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• Wavelet representation of hardcore bosons