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We consider spin-polarized abelian quantum Hall states in the Tao-Thouless limit, ie on a thin torus. For any filling factor  = p/q a well-defined sector of low-energy states is dentified and the ex...
Random processes characterized by density probabilities with a long tail–L´evy-type processes– have been found in very different phenomena and fields such as biology, economy, and physics.
The Schrödinger equation for the evolution of isolated quantum systems determines the constants of motion for the dynamical problem, which can be identified with the populations along the princ...
We investigate the dynamics of pairs of Fermions and Bosons released from a box and find that their populations have unique generic properties ensuing from the axioms of quantum statistics and symmetr...
Exact pointer states are obtained for projection operator measurements performed upon pre-selected (PS) and upon pre- and post-selected (PPS) quantum systems. These states are used to provide simple e...
A novel puzzle for the notion of probability in the Many-Worlds interpretation of quantum mechanics is presented. The puzzle makes use of a thought experiment that some have claimed would provide empi...
We present the elements of a new approach to the foundations of quantum theory and information theory which is based on the algebraic approach to integration, information geometry, and maximum relativ...
We investigate the basic theoretical issues in the quantum entanglement of particle pairs created from the vacuum in a time-dependent background field or spacetime. Similar to entropy generation from ...
We illustrate the crucial role played by decoherence (consistency of quantum histories) in extracting consistent quantum probabilities for alternative histories in quantum cosmology. Specifically, wit...
We study the effects of interference on the quenching dynamics of a one-dimensional spin 1/2 $XY$ model in the presence of a transverse field ($h(t)$) which varies sinusoidally with time as $h = h_0\c...
We apply the Nyquist method to analyze the stability of small amplitude electrostatic waves in quantum plasmas described by the Wigner-Poisson system. The technique is presented in detail to assess th...
We tutorially review the determinantal Quantum Monte Carlo method for fermionic systems, using the Hubbard model as a case study. Starting with the basic ingredients of Monte Carlo simulations for cla...

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