Quantum walk hydrodynamics

Vacuum energy: quantum hydrodynamics vs quantum gravity

We compare quantum hydrodynamics and quantum gravity. They share many common features, both have quadratic divergences, and both lead to the problem of the vacuum energy, which in the quantum gravity transforms to the cosmological constant problem. We show that in quantum liquids the vacuum energy density is not determined by the quantum zero-point energy of the phonon modes. The vacuum energy ...

From Quantum Hydrodynamics to Quantum Gravity

In the presentations at the Session ‘Analog Models of and for General Relativity’ at 11 Marcel Grossmann Meeting, general relativity has been considered as emergent phenomenon. General approaches to emergent relativity have been analyzed. Particular example when gravity is induced in the low-energy corner of quantum condensed matter of the proper universality class has been presented. It was su...

The Elephant Quantum Walk

Giuseppe Di Molfetta,1, 2, ∗ Diogo O. Soares-Pinto,3 and Sílvio M. Duarte Queirós4 Aix-Marseille Université, CNRS, École Centrale de Marseille, Laboratoire d’Informatique Fondamentale, Marseille, France Departamento de Física Teórica and IFIC, Universidad de Valencia-CSIC, Dr. Moliner 50, 46100-Burjassot, Spain Instituto de Física de São Carlos, Universidade de São Paulo, CP 369, 13560-970, São...

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Quantum lattice Boltzmann is a quantum walk

*Correspondence: [email protected] 1IAC-CNR, Istituto per le Applicazioni del Calcolo ‘Mauro Picone’, Via dei Taurini, 19, Rome, 00185, Italy Full list of author information is available at the end of the article Abstract Numerical methods for the 1-D Dirac equation based on operator splitting and on the quantum lattice Boltzmann (QLB) schemes are reviewed. It is shown that these discretizati...