A charged scalar condensate is quantum-stable to all perturbative orders when it is described by the interacting vacuum of fluctuations, a non-Gaussian dressed coherent state that is an eigenstate of H minus mu Q.
Breaking BEC: Quantum evolution of unstable condensates
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abstract
In this work we numerically explore the quantum behavior of a classically unstable relativistic Bose-Einstein condensate (BEC). The main goal is to study the phenomenon of so-called quantum break time which amounts to a significant departure from a semiclassical mean-field description. It has been suggested previously that the existence of Lyapunov instability is crucial for a fast quantum breaking, chaos, and scrambling. In order to clarify the issue, we work within the 2-PI effective action formalism and introduce a simple and very widely applicable dynamical criterion for identifying the timescale of quantumbreaking. We indeed observe that the fast quantum break time is controlled by the Lyapunov exponent of the unstable BEC.
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Coherence and Quantum Stability of Relativistic Superfluid States
A charged scalar condensate is quantum-stable to all perturbative orders when it is described by the interacting vacuum of fluctuations, a non-Gaussian dressed coherent state that is an eigenstate of H minus mu Q.