Interaction quench in a Lieb-Liniger model and the KPZ equation with flat initial conditions

Abstract

Recent exact solutions of the 1D Kardar-Parisi-Zhang equation make use of the 1D integrable Lieb-Liniger model of interacting bosons. For flat initial conditions, it requires the knowledge of the overlap between the uniform state and arbitrary exact Bethe eigenstates. The same quantity is also central in the study of the quantum quench from a 1D non-interacting Bose-Einstein condensate upon turning interactions. We compare recent advances in both domains, i.e. our previous exact solution, and a new conjecture by De Nardis et al.. This leads to new exact results and conjectures for both the quantum quench and the KPZ problem.

20 pages

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Cited by in corpus (37)

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• The one-dimensional KPZ equation and its universality class
• The Quench Action
• Roadmap on Atomtronics: State of the art and perspective
• Validity of the GGE for quantum quenches from interacting to noninteracting models
• Multi-particle bound state formation following a quantum quench to the one-dimensional Bose gas with attractive interactions
• Quench action and Renyi entropies in integrable systems
• Exact steady states for quantum quenches in integrable Heisenberg spin chains
• Stationary states in a free fermionic chain from the Quench Action Method
• Entanglement spreading in non-equilibrium integrable systems
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• Quantum quenches to the attractive one-dimensional Bose gas: exact results
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• Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
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• Interaction quench in a trapped one-dimensional Bose gas
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