2002/03/31 by Christopher J. Fewster, Rainer Verch · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Energy condition #Hadamard transform #Quantum #Quantum algorithm #Quantum field theory #Quantum process #Quantum state #Quantum system #Spectrum (functional analysis) #gr-qc #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1007/s00220-003-0884-7
published as Commun.Math.Phys. 240 (2003) 329-375 · 50 pages, latex2e. A new section has been added to the Appendix to discuss the relationship between states on the Weyl algebra and states on an auxiliary algebra arising in our construction. Version published in CMP
openalex publication_date 2003/09/01 · arxiv created 2003/12/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Quantum weak energy inequalities have recently been extensively discussed as a condition on the dynamical stability of quantum field states, particularly on curved spacetimes. We formulate the notion of a quantum weak energy inequality for general dynamical systems on static background spacetimes and establish a connection between quantum weak energy inequalities and thermodynamic stability in the general setting. We show that the free scalar field in representations induced by quasifree Hadamard states provides an example system, and we indicate that (1) the microlocal spectrum condition, (2) quantum weak energy inequalities and (3) the existence of passive states (e.g., mixtures of ground- and thermal equilibrium states) are essentially equivalent, which is significant because each of these conditions becomes effective at a different length scale. [See title page of paper for the full abstract.]