Collective excitations analogous to phonons are derived in quantum gravity condensates within a group field theory model, yielding leading beyond-mean-field corrections to emergent Friedmann dynamics.
Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
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abstract
We review phase space techniques based on the Wigner representation that provide an approximate description of dilute ultra-cold Bose gases. In this approach the quantum field evolution can be represented using equations of motion of a similar form to the Gross-Pitaevskii equation but with stochastic modifications that include quantum effects in a controlled degree of approximation. These techniques provide a practical quantitative description of both equilibrium and dynamical properties of Bose gas systems. We develop versions of the formalism appropriate at zero temperature, where quantum fluctuations can be important, and at finite temperature where thermal fluctuations dominate. The numerical techniques necessary for implementing the formalism are discussed in detail, together with methods for extracting observables of interest. Numerous applications to a wide range of phenomena are presented.
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A connected-cluster survival criterion in real-time lattice simulations yields false vacuum decay rates that match Hartree-resummed thermal benchmarks at high temperatures and converge with global-survival methods at low temperatures in the dilute regime.
Vortex dynamics in coupled BEC rings is governed by circulating acoustic excitations; frequency and damping are predicted by a hydrodynamic model matching BdG analysis and GPE simulations, with resonant barrier modulation enabling controlled transfer even for density-separated condensates.
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Collective excitations in quantum gravity condensates
Collective excitations analogous to phonons are derived in quantum gravity condensates within a group field theory model, yielding leading beyond-mean-field corrections to emergent Friedmann dynamics.
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False Vacuum Decay across the Quantum-to-Thermal Crossover: A Comparison of Real-Time Observables
A connected-cluster survival criterion in real-time lattice simulations yields false vacuum decay rates that match Hartree-resummed thermal benchmarks at high temperatures and converge with global-survival methods at low temperatures in the dilute regime.
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Controlled acoustic-driven vortex transport in coupled superfluid rings
Vortex dynamics in coupled BEC rings is governed by circulating acoustic excitations; frequency and damping are predicted by a hydrodynamic model matching BdG analysis and GPE simulations, with resonant barrier modulation enabling controlled transfer even for density-separated condensates.