Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP12(2017)154
Keywords
Quantum Dissipative Systems; Stochastic Processes; AdS-CFT Correspondence; Thermal Field Theory
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Funding
- Simons Collaboration 'It from Qubit'
- International Centre for Theoretical Sciences (ICTS), Tata Institute of Fundamental Research, Bengaluru
- Govt. of India
- U.S. Department of Energy [DE-SC0009999]
- University of California
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We describe general features of thermal correlation functions in quantum systems, with specific focus on the fluctuation-dissipation type relations implied by the KMS condition. These end up relating correlation functions with different time ordering and thus should naturally be viewed in the larger context of out-of-time-ordered (OTO) observables. In particular, eschewing the standard formulation of KMS relations where thermal periodicity is combined with time-reversal to stay within the purview of Schwinger-Keldysh functional integrals, we show that there is a natural way to phrase them directly in terms of OTO correlators. We use these observations to construct a natural causal basis for thermal n-point functions in terms of fully nested commutators. We provide several general results which can be inferred from cyclic orbits of permutations, and exemplify the abstract results using a quantum oscillator as an explicit example.
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