scholarly journals Quasi-free states and automorphisms of the CCR-algebra

1976 ◽  
Vol 51 (1) ◽  
pp. 55-66 ◽  
Author(s):  
M. Fannes
Keyword(s):  
Ccr Algebra

Completely positive maps on the CCR-algebra

1977 ◽  
Vol 2 (2) ◽  
pp. 161-166 ◽  
Author(s):  
B. Demoen ◽  
P. Vanheuverzwijn ◽  
A. Verbeure
Keyword(s):  
Completely Positive Maps ◽  
Completely Positive ◽  
Positive Maps ◽  
Ccr Algebra

Recursion Relation for Wick Products of the CCR Algebra

2008 ◽  
Vol 2 (3) ◽  
pp. 441-447 ◽  
Author(s):  
Benito J. González ◽  
Emilio R. Negrin
Keyword(s):  
Recursion Relation ◽  
Ccr Algebra ◽  
Wick Products

scholarly journals Relative Entropy of Coherent States on General CCR Algebras

2021 ◽  
Author(s):  
Henning Bostelmann ◽  
Daniela Cadamuro ◽  
Simone Del Vecchio
Keyword(s):  
Relative Entropy ◽  
Coherent States ◽  
Regularity Condition ◽  
Energy Condition ◽  
Null Energy Condition ◽  
Boundary Terms ◽  
Ccr Algebra ◽  
Modular Data ◽  
Quasifree State ◽  
Thermal States

AbstractFor a subalgebra of a generic CCR algebra, we consider the relative entropy between a general (not necessarily pure) quasifree state and a coherent excitationthereof. We give a unified formula for this entropy in terms of single-particle modular data. Further, we investigate changes of the relative entropy along subalgebras arising from an increasing family of symplectic subspaces; here convexity of the entropy (as usually considered for the Quantum Null Energy Condition) is replaced with lower estimates for the second derivative, composed of “bulk terms” and “boundary terms”. Our main assumption is that the subspaces are in differential modular position, a regularity condition that generalizes the usual notion of half-sided modular inclusions. We illustrate our results in relevant examples, including thermal states for the conformal U(1)-current.

Squeezing Bogoliubov transformations on the infinite mode CCR‐algebra

1996 ◽  
Vol 37 (9) ◽  
pp. 4292-4309 ◽  
Author(s):  
Reinhard Honegger ◽  
Alfred Rieckers
Keyword(s):  
Ccr Algebra ◽  
Bogoliubov Transformations

Completely positive quasi-free maps of the CCR-algebra

1979 ◽  
Vol 15 (1) ◽  
pp. 27-39 ◽  
Author(s):  
B. Demoen ◽  
P. Vanheuverzwijn ◽  
A. Verbeure
Keyword(s):  
Completely Positive ◽  
Ccr Algebra
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