2013/12/02 by V. N. Gladilin, Vladimir N. Gladilin, Kai Ji +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Coherence (philosophical gambling strategy) #Coherence length #Cold Atom Physics and Bose-Einstein Condensates #Crossover #Dissipative system #Exponential function #Exponential growth #Gaussian #Mathematical analysis #Mathematics #Non-equilibrium thermodynamics #Physics #Quantum #Quantum mechanics #Scaling #Statistical physics #Strong Light-Matter Interactions #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.90.023615
5 pages, 2 figures, supplemental material
arxiv created 2013/12/02 · openalex publication_date 2014/08/11 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a theoretical analysis of spatial correlations in a one-dimensional driven-dissipative nonequilibrium condensate. Starting from a stochastic generalized Gross-Pitaevskii equation, we derive a noisy Kuramoto-Sivashinsky equation for the phase dynamics. For sufficiently strong interactions, the coherence decays exponentially in close analogy to the equilibrium Bose gas. When interactions are small on a scale set by the nonequilibrium condition, we find through numerical simulations a crossover between a Gaussian and exponential decay with peculiar scaling of the coherence length on the fluid density and noise strength.