Heisenberg time
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In the quantum theory of many body systems and Quantum chaos, the Heisenberg time is defined by the typical inverse level spacing (or equivalently the density of states) of the Hamiltonian evaluated at maximum entropy [1] [2]. In various problems of quantum statistical mechanics it is useful to characterise observables by their Fourier spectra, the Heisenberg time sets the time scale upon which the discrete nature of the spectrum of a physical observable may be resolved. On timescales longer than the Heisenberg time the dynamics of the system ceases to be meaningfully many body in nature, instead observables simply evolve quasi-periodically, many-body revivals may be observed, and the system may be understood as a large finite system.
References[edit]
- ↑ Shepelyansky, Dimitry. "Ehrenfest time and chaos". scholarpedia. Retrieved 31 October 2020.
- ↑ Giuliano Benenti, Giulio Casati, Giuliano Strini (April 2004). Principles Of Quantum Computation And Information - Volume I: Basic Concepts. World Scientific. p. 390.CS1 maint: Multiple names: authors list (link) Search this book on
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