
Local optima of the SherringtonKirkpatrick Hamiltonian
We study local optima of the Hamiltonian of the SherringtonKirkpatrick ...
read it

A Hybrid QuantumClassical Hamiltonian Learning Algorithm
Hamiltonian learning is crucial to the certification of quantum devices ...
read it

The emergence of time
Classically, one could imagine a completely static space, thus without t...
read it

Vectorial ball Prolate spheroidal wave functions with the divergence free constraint
In this paper, we introduce one family of vectorial prolate spheroidal w...
read it

Hamiltonian operator for spectral shape analysis
Many shape analysis methods treat the geometry of an object as a metric ...
read it

Hiddenly Hermitian quantum models: The concept of perturbations
In conventional Schrödinger representation the unitarity of the evolutio...
read it

Weakly nonlocal Poisson brackets: tools, examples, computations
We implement an algorithm for the computation of Schouten bracket of wea...
read it
The massive modular Hamiltonian
We compute the vacuum local modular Hamiltonian associated with a space ball region in the free scalar massive Quantum Field Theory. We give an explicit expression on the one particle Hilbert space in terms of the massive Legendre differential operator and the Green integral for the Helmholtz operator. The quadratic form of the massive modular Hamiltonian is expressed in terms of an integral of the energy density with parabolic distribution and of a Yukawa potential, that here appears intrinsically. We then get the formula for the local entropy of a KleinGordon wave packet. This gives the vacuum relative entropy of a coherent state on the double cone von Neumann algebras associated with the free scalar QFT. Among other points, we have a criterion for a Bogoliubov automorphism to be locally weakly inner and we provide the passivity characterisation of the modular Hamiltonian within the standard subspace set up.
READ FULL TEXT
Comments
There are no comments yet.