2005/08/31 by J. Berges, I. -O. Stamatescu, I.O. Stamatescu · 95 citations
Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Langevin dynamics #Langevin equation #Non-equilibrium thermodynamics #Open quantum system #Path integral formulation #Physics #Quantization (signal processing) #Quantum #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Quantum simulator #Statistical physics #Stochastic quantization #Theoretical and Computational Physics #cond-mat.other #hep-lat #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevlett.95.202003
published in Physical Review Letters 95(20), 202003 (American Physical Society) · 4 pages, 4 figures, PRL version, minor changes
arxiv created 2005/10/31 · openalex publication_date 2005/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present lattice simulations of nonequilibrium quantum fields in Minkowskian space-time. Starting from a nonthermal initial state, the real-time quantum ensemble in (3 + 1) dimensions is constructed by a stochastic process in an additional (5th) "Langevin-time." For the example of a self-interacting scalar field, we show how to resolve apparent unstable Langevin dynamics and compare our quantum results with those obtained in classical field theory. Such a direct simulation method is crucial for our understanding of collision experiments of heavy nuclei or other nonequilibrium phenomena in strongly coupled quantum many-body systems.