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Full counting statistics in the transverse field Ising chain

Abstract:
We consider the full probability distribution for the transverse magnetization of a finite subsystem in the transverse field Ising chain. We derive a determinant representation of the corresponding characteristic function for general Gaussian states. We consider applications to the full counting statistics in the ground state, finite temperature equilibrium states, non-equilibrium steady states and time evolution after global quantum quenches. We derive an analytical expression for the time and subsystem size dependence of the characteristic function at sufficiently late times after a quantum quench. This expression features an interesting multiple light-cone structure.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.21468/SciPostPhys.4.6.043

Authors


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Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
ORCID:
0000-0002-1127-5830



Publisher:
SciPost
Journal:
SciPost Physics More from this journal
Volume:
4
Issue:
6
Article number:
043
Publication date:
2018-06-28
Acceptance date:
2018-06-18
DOI:
ISSN:
2542-4653


Pubs id:
pubs:857975
UUID:
uuid:ccc013d0-da01-43c1-8a29-f180f53e317c
Local pid:
pubs:857975
Source identifiers:
857975
Deposit date:
2018-06-18

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