40 citations · 158 across the 11 of their papers we have counts for
11 papers
A quantum walk simulation of extra dimensions with warped geometry
Andreu Anglés-Castillo, Armando Pérez
We investigate the properties of a quantum walk which can simulate the behavior of a spin particle in a model with an ordinary spatial dimension, and one extra dimension with…
Prethermalization of quantum systems interacting with non-equilibrium environments
Andreu Anglés-Castillo, Mari Carmen Bañuls, Armando Pérez +1
The usual paradigm of open quantum systems falls short when the environment is actually coupled to additional fields or components that drive it out of equilibrium. Here we explore…
Quantum walks in weak electric fields and Bloch oscillations
Pablo Arnault, Benjamin Pepper, A. Pérez
Bloch oscillations appear when an electric field is superimposed on a quantum particle that evolves on a lattice with a tight-binding Hamiltonian (TBH), i.e., evolves via what we w…
Quantum simulation of quantum relativistic diffusion via quantum walks
Pablo Arnault, Adrian Macquet, Andreu Anglés-Castillo +6
Two models are first presented, of one-dimensional discrete-time quantum walk (DTQW) with temporal noise on the internal degree of freedom (i.e., the coin): (i) a model with both a…
Electromagnetic lattice gauge invariance in two-dimensional discrete-time quantum walks
Iván Márquez-Mártin, Pablo Arnault, Giuseppe Di Molfetta +1
Gauge invariance is one of the more important concepts in physics. We discuss this concept in connection with the unitary evolution of discrete-time quantum walks in one and two sp…
Discrete-time quantum walks as fermions of lattice gauge theory
Pablo Arnault, Armando Pérez, Pablo Arrighi +1
It is shown that discrete-time quantum walks can be used to digitize, i.e., to time discretize fermionic models of continuous-time lattice gauge theory. The resulting discrete-time…
Quantum walk on a cylinder
Luis A. Bru, Germán J. de Valcárcel, Giuseppe Di Molfetta +3
We consider the 2D alternate quantum walk on a cylinder. We concentrate on the study of the motion along the open dimension, in the spirit of looking at the closed coordinate as a…
Non-Markovianity and memory of the initial state
Margarida Hinarejos, Mari-Carmen Bañuls, Armando Pérez +1
We explore in a rigorous manner the intuitive connection between the non-Markovianity of the evolution of an open quantum system and the performance of the system as a quantum memo…
A study of decoherence effects in the Stern-Gerlach experiment using matrix Wigner functions
Pablo Gomis, A. Pérez
We analyze the Stern-Gerlach experiment in phase space with the help of the matrix Wigner function, which includes the spin degree of freedom. Such analysis allows for an intuitive…
Chirality asymptotic behavior and non-Markovianity in quantum walks on a line
Margarida Hinarejos, Carlo Di Franco, Alejandro Romanelli +1
We investigate the time evolution of the chirality reduced density matrix for a discrete-time quantum walk on a one-dimensional lattice, which is obtained by tracing out the spatia…
Understanding and controlling N-dimensional quantum walks via dispersion relations. Application to the 2D and 3D Grover walks: Diabolical points and more
Germán J. de Valcárcel, Margarida Hinarejos, Eugenio Roldán +2
The discrete quantum walk in N dimensions is analyzed from the perspective of its dispersion relations. This allows understanding known properties, as well as designing new ones wh…