2017/06/30 by Michel Bauer, Denis Bernard, Tony Jin · 62 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Dissipative system #Open quantum system #Physics #Quantum #Quantum discord #Quantum dissipation #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Quantum probability #Quantum process #Spin (aerodynamics) #Statistical physics #cond-mat.stat-mech #math-ph #math.MP #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.21468/scipostphys.3.5.033
published in SciPost Physics 3(5) (SciPost.org) · Revised version. Main text: 19 pages, Appendices+References: 10 pages
arxiv created 2017/10/12 · openalex publication_date 2017/11/04 · arxiv updated 2018/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by the search for a quantum analogue of the macroscopic fluctuation theory, we study quantum spin chains dissipatively coupled to quantum noise. The dynamical processes are encoded in quantum stochastic differential equations. They induce dissipative friction on the spin chain currents. We show that, as the friction becomes stronger, the noise induced dissipative effects localize the spin chain states on a slow mode manifold, and we determine the effective stochastic quantum dynamics of these slow modes. We illustrate this approach by studying the quantum stochastic Heisenberg spin chain.