Inflationary preheating dynamics with ultracold atoms

Abstract

We discuss the amplification of loop corrections in quantum many-body systems through dynamical instabilities. As an example, we investigate both analytically and numerically a two-component ultracold atom system in one spatial dimension. The model features a tachyonic instability, which incorporates characteristic aspects of the mechanisms for particle production in early-universe inflaton models. We establish a direct correspondence between measureable macroscopic growth rates for occupation numbers of the ultracold Bose gas and the underlying microscopic processes in terms of Feynman loop diagrams. We analyze several existing ultracold atom setups featuring dynamical instabilities and propose optimized protocols for their experimental realization. We demonstrate that relevant dynamical processes can be enhanced using a seeding procedure for unstable modes and clarify the role of initial quantum fluctuations and the generation of a non-linear secondary stage for the amplification of modes.

17 pages, 13 figures

References in corpus (8)

• Inflationary Cosmology
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Quantum-Enhanced Sensing Based on Time Reversal of Nonlinear Dynamics
• Nonthermal fixed points and the functional renormalization group
• Quantum versus classical statistical dynamics of an ultracold Bose gas
• Strong versus weak wave-turbulence in relativistic field theory
• Inflationary quasiparticle creation and thermalization dynamics in coupled Bose-Einstein condensates
• Universal scaling of unequal-time correlation functions in ultracold Bose gases far from equilibrium

Cited by in corpus (9)

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• Analog cosmological reheating in an ultracold Bose gas
• Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates
• Numerical studies of back-reaction effects in an analog model of cosmological pre-heating
• Enhancement of particle creation in nonlinear resonant cavities
• Dissipative parametric resonance in a modulated 1D Bose gas
• Bubbles in a box: Eliminating edge nucleation in cold-atom simulators of vacuum decay
• Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields
• Tachyonic and parametric instabilities in an extended bosonic Josephson junction