We formulate a theory for resonances in the many-body localized (MBL) phase of disordered quantum spin chains terms local observables. A key result is to show that there are universal correlations between matrix elements observables and level spectrum. This reveals how encode energy scales associated with resonance, thereby allowing us these energies power-law-distributed. Using results, we cal...

Investigations of heavy few-electron atoms provide an excellent opportunity for testing QED in strong Coulomb fields. A remarkable high experimental precision has been reached in Lamb-shift measurements of Li-like ions. The uncertainty obtained e.g. for the 2p1/2 2s transition energy in Li-like Ni and Zn [1], Ag and Xe [2, 3] and U [4] is by an order of magnitude smaller than the QED contributi...

Density functionals for nuclei usually include an effective 3-body interaction that depends on a fractional power of the density. Using insights from the many-body theory of the low-density two-component Fermi gas, we consider a new, nonlocal, form for the energy functional that is consistent with the Fock-space representation of interaction operators. In particular, there is a unique spatially...

Note that both the eigen-Majoranas γn,α and the eigenvalues n are time dependent. Degeneracies of the many-body spectrum can arise when one or more of the eigenvalues n vanish or when some nonzero n is degenerate, independent of time. The various Majorana operators associated with each single-particle eigenvalue n are labeled by the index α. If the single-particle eigenvalue n is N-fold degener...

Artifacts have been proposed as basic building blocks for complex processes that are driven by life-cycle aware data objects. An artifact choreography describes the interplay of several artifacts from which the process “emerges”. By design, an artifact choreography is tightly coupled to the process’ underlying data model which gives rise to complex interactions between artifacts. This paper pre...

Using the Singwi–Tosi–Land–Sjolander theory, we have studied the many-body effects in the two-dimensional electron gas with arbitrary polarization at finite temperatures. We have calculated the structure factors, pair correlation functions, local-field factors and the Helmholtz free energy for different values of spin polarization, temperature and density parameter. We have shown that the spin ...