Dynamics for nonconservative systems: ergodicity beyond the microcanonical ensemble

1988 ◽  
Vol 92 (11) ◽  
pp. 3163-3173 ◽  
Author(s):  
Julius Jellinek
Keyword(s):  
Microcanonical Ensemble ◽  
Nonconservative Systems

scholarly journals Entanglement spectrum of geometric states

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Wu-zhong Guo
Keyword(s):  
Entanglement Entropy ◽  
Vacuum State ◽  
Reduced Density Matrix ◽  
Microcanonical Ensemble ◽  
Equality Case ◽  
Entanglement Spectrum ◽  
The Matrix ◽  
Point Correlation ◽  
Single Interval ◽  
Reduced Density

Abstract The reduced density matrix of a given subsystem, denoted by ρA, contains the information on subregion duality in a holographic theory. We may extract the information by using the spectrum (eigenvalue) of the matrix, called entanglement spectrum in this paper. We evaluate the density of eigenstates, one-point and two-point correlation functions in the microcanonical ensemble state ρA,m associated with an eigenvalue λ for some examples, including a single interval and two intervals in vacuum state of 2D CFTs. We find there exists a microcanonical ensemble state with λ0 which can be seen as an approximate state of ρA. The parameter λ0 is obtained in the two examples. For a general geometric state, the approximate microcanonical ensemble state also exists. The parameter λ0 is associated with the entanglement entropy of A and Rényi entropy in the limit n → ∞. As an application of the above conclusion we reform the equality case of the Araki-Lieb inequality of the entanglement entropies of two intervals in vacuum state of 2D CFTs as conditions of Holevo information. We show the constraints on the eigenstates. Finally, we point out some unsolved problems and their significance on understanding the geometric states.

Microcanonical Ensemble Formulation of Lattice Gauge Theory

1982 ◽  
Vol 49 (9) ◽  
pp. 613-616 ◽  
Author(s):  
David J. E. Callaway ◽  
Aneesur Rahman
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Microcanonical Ensemble ◽  
Lattice Gauge

The Microcanonical Ensemble

1964 ◽  
Vol 32 (10) ◽  
pp. 799-802
Author(s):  
Arthur V. Tobolsky
Keyword(s):  
Microcanonical Ensemble
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