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Gaussian Decoherence and Gaussian Echo from Spin Environments
(Polish Academy of Sciences. Institute of Physics, 2007-12)
We examine an exactly solvable model of decoherence -- a spin-system interacting with a collection of environment spins. We show that in this simple model (introduced some time ago to illustrate environment--induced ...
Thermalization in systems with bipartite eigenmode entanglement
(IOP Publishing, 2012-07)
It is analytically shown that the asymptotic correlations following a quantum quench in exactly solvable models can sometimes look essentially thermal provided the initial coupling between the system eigenmodes induces a ...
Interaction between different kinds of quantum phase transitions
(MDPI AG, 2021-06)
We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics ...
Comment on “The consequences of neglecting permutation symmetry in the description of many-electrons systems”
(John Wiley & Sons Inc, 2019-12)
In this article, we analyze a recently proposed approach for the construction of antisymmetric functions for atomic and molecular systems. It is based on the assumption that the main problems with Hartree‐Fock wavefunctions ...
Comment on “Bound states and the potential parameter spectrum” [J. Math. Phys. 61, 062103 (2020)]
(American Institute of Physics, 2021-06)
We analyze the application of the “tridiagonal representation approach” (TRA) to the Schrödinger equation for some simple, exactly solvable, quantum-mechanical models. In the case of the Kratzer-Fues potential, the expression ...
Entanglement entropy and the large N expansion of two-dimensional Yang-Mills theory
(Springer, 2020)
Two-dimensional Yang-Mills theory is a useful model of an exactly solvable gauge theory with a string theory dual at large N. We calculate entanglement entropy in the 1/N expansion by mapping the theory to a system of N ...
Small-energy series for one-dimensional quantum-mechanical models with non-symmetric potentials
(Springer, 2015-06)
We generalize a small-energy expansion for one-dimensional quantum-mechanical models proposed recently by other authors. The original approach was devised to treat symmetric potentials and here we show how to extend it to ...
Continuously deformable topological structure
(Elsevier B.V., 2014)