Details
| Original language | English |
|---|---|
| Article number | 022330 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 92 |
| Issue number | 2 |
| Publication status | Published - 13 Aug 2015 |
Abstract
We propose a general formulation of the renormalization group (RG) as a family of quantum channels which connect the microscopic physical world to the observable world at some scale. By endowing the set of quantum states with an operationally motivated information geometry, we induce the space of Hamiltonians with a corresponding metric geometry. The resulting structure allows one to quantify information loss along RG flows in terms of the distinguishability of thermal states. In particular, we introduce a family of functions, expressible in terms of two-point correlation functions, which are nonincreasing along the flow. Among those, we study the speed of the flow and its generalization to infinite lattices.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 92, No. 2, 022330, 13.08.2015.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Information-geometric approach to the renormalization group
AU - Bény, Cédric
AU - Osborne, Tobias J.
PY - 2015/8/13
Y1 - 2015/8/13
N2 - We propose a general formulation of the renormalization group (RG) as a family of quantum channels which connect the microscopic physical world to the observable world at some scale. By endowing the set of quantum states with an operationally motivated information geometry, we induce the space of Hamiltonians with a corresponding metric geometry. The resulting structure allows one to quantify information loss along RG flows in terms of the distinguishability of thermal states. In particular, we introduce a family of functions, expressible in terms of two-point correlation functions, which are nonincreasing along the flow. Among those, we study the speed of the flow and its generalization to infinite lattices.
AB - We propose a general formulation of the renormalization group (RG) as a family of quantum channels which connect the microscopic physical world to the observable world at some scale. By endowing the set of quantum states with an operationally motivated information geometry, we induce the space of Hamiltonians with a corresponding metric geometry. The resulting structure allows one to quantify information loss along RG flows in terms of the distinguishability of thermal states. In particular, we introduce a family of functions, expressible in terms of two-point correlation functions, which are nonincreasing along the flow. Among those, we study the speed of the flow and its generalization to infinite lattices.
UR - http://www.scopus.com/inward/record.url?scp=84939445173&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.92.022330
DO - 10.1103/PhysRevA.92.022330
M3 - Article
AN - SCOPUS:84939445173
VL - 92
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 2
M1 - 022330
ER -