Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Pablo Arnault"'
Publikováno v:
Entropy, Vol 24, Iss 12, p 1778 (2022)
We present various results on the scheme introduced in a previous work, which is a quantum spatial-search algorithm on a two-dimensional (2D) square spatial grid, realized with a 2D Dirac discrete-time quantum walk (DQW) coupled to a Coulomb electric
Externí odkaz:
https://doaj.org/article/a23917827498456c97f398aed7a1f3e0
Autor:
Pablo Arnault, Christopher Cedzich
Publikováno v:
New Journal of Physics, Vol 24, Iss 12, p 123031 (2022)
We construct a real-time lattice-gauge-theory (LGT)-type action for a spin-1/2 matter field of a single particle on a $(1+1)$ -dimensional spacetime lattice. The framework is based on a discrete-time quantum walk, and is hence inherently unitary and
Externí odkaz:
https://doaj.org/article/4f8d4352dad7409fb2e37848cc920196
Publikováno v:
Quantum Studies: Mathematics and Foundations
Quantum Studies: Mathematics and Foundations, 2021, 8 (4), pp.419-430. ⟨10.1007/s40509-021-00253-x⟩
Quantum Studies: Mathematics and Foundations, 2021, 8 (4), pp.419-430. ⟨10.1007/s40509-021-00253-x⟩
A quantum walk (QW) simulating the flat $$(1 + 2)$$ D Dirac equation on a spatial polar grid is constructed. Because fermions are represented by spinors, which do not constitute a representation of the rotation group $${\mathrm{SO}}(3)$$ , but rather
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::292ffdcf7ba1355b334975fdd5a7587a
https://hal.science/hal-03577256
https://hal.science/hal-03577256
Autor:
Pablo Arnault
Publikováno v:
Physical Review A
Physical Review A, 2022, 106, pp.012201. ⟨10.1103/PhysRevA.106.012201⟩
Physical Review A, 2022, 106, pp.012201. ⟨10.1103/PhysRevA.106.012201⟩
We introduce a spacetime discretization of the Dirac equation that has the form of a quantum automaton and that is invariant upon changing the representation of the Clifford algebra, as the Dirac equation itself. Our derivation follows Dirac's origin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d964f506e90dd6c5f7511d00558bbc4
http://arxiv.org/abs/2105.12314
http://arxiv.org/abs/2105.12314
Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
instname
instname
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 will call an electric TBH; this phenomenon will be referred to as TBH B
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8eff9491614c5fbea1ff38fd0540acc5
Publikováno v:
Phys.Rev.A
Phys.Rev.A, 2019, 99 (3), pp.032110. ⟨10.1103/PhysRevA.99.032110⟩
Physical Review A
Physical Review A, 2019, 99 (3), pp.032110. ⟨10.1103/PhysRevA.99.032110⟩
Digital.CSIC. Repositorio Institucional del CSIC
instname
Phys.Rev.A, 2019, 99 (3), pp.032110. ⟨10.1103/PhysRevA.99.032110⟩
Physical Review A
Physical Review A, 2019, 99 (3), pp.032110. ⟨10.1103/PhysRevA.99.032110⟩
Digital.CSIC. Repositorio Institucional del CSIC
instname
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 dynamics is thus not only manifestly unitary, but also ultralocal, i.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cad5ab3c91ace55fea80f83c1e89c32
https://hal.archives-ouvertes.fr/hal-01861936
https://hal.archives-ouvertes.fr/hal-01861936
Autor:
Pablo Arnault, Adrian Macquet, Fabrice Debbasch, Iván Márquez-Martín, Andreu Anglés-Castillo, Pablo Arrighi, Giuseppe Di Molfetta, Armando Pérez, Vicente Pina-Canelles
Publikováno v:
J.Phys.A
J.Phys.A, 2020, 53 (20), pp.205303. ⟨10.1088/1751-8121/ab8245⟩
Journal of Physics A: Mathematical and Theoretical
Journal of Physics A: Mathematical and Theoretical, 2020, 53 (20), pp.205303. ⟨10.1088/1751-8121/ab8245⟩
J.Phys.A, 2020, 53 (20), pp.205303. ⟨10.1088/1751-8121/ab8245⟩
Journal of Physics A: Mathematical and Theoretical
Journal of Physics A: Mathematical and Theoretical, 2020, 53 (20), pp.205303. ⟨10.1088/1751-8121/ab8245⟩
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 coin-flip and a phase-flip channel, and (ii) a model with random coin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b20b57f00fbba6a8443bc141533b89d
https://doi.org/10.1088/1751-8121/ab8245
https://doi.org/10.1088/1751-8121/ab8245
Autor:
Pablo Arnault, Fabrice Debbasch
Publikováno v:
Annals of Physics
Annals of Physics, 2017, 383, pp.645-661. ⟨10.1016/j.aop.2017.04.003⟩
Annals of Physics, Elsevier Masson, 2017, ⟨10.1016/j.aop.2017.04.003⟩
Annals of Physics, 2017, 383, pp.645-661. ⟨10.1016/j.aop.2017.04.003⟩
Annals of Physics, Elsevier Masson, 2017, ⟨10.1016/j.aop.2017.04.003⟩
A new family of discrete-time quantum walks (DTQWs) propagating on a regular $(1+2)$D spacetime lattice is introduced. The continuous limit of these DTQWs is shown to coincide with the dynamics of a Dirac fermion interacting with an arbitrary relativ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::386e4b2352258860777c0d0c382db75a
http://arxiv.org/abs/1609.00722
http://arxiv.org/abs/1609.00722
Autor:
Pablo Arnault, Fabrice Debbasch
Publikováno v:
Physical Review A
Physical Review A, 2016, 93 (5), ⟨10.1103/PhysRevA.93.052301⟩
Physical Review A, American Physical Society 2016, 93 (5), ⟨10.1103/PhysRevA.93.052301⟩
Physical Review A, 2016, 93 (5), ⟨10.1103/PhysRevA.93.052301⟩
Physical Review A, American Physical Society 2016, 93 (5), ⟨10.1103/PhysRevA.93.052301⟩
A particular example is produced to prove that quantum walks can be used to simulate full-fledged discrete gauge theories. A new family of $2D$ walks is introduced and its continuous limit is shown to coincide with the dynamics of a Dirac fermion cou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75520bfb4bf9c119330e3f0420d014bc
https://hal.science/hal-02318234
https://hal.science/hal-02318234
Autor:
Pablo Arnault, Fabrice Debbasch
Publikováno v:
Physica A: Statistical Mechanics and its Applications
Physica A: Statistical Mechanics and its Applications, Elsevier, 2016, 443, pp.179-191. ⟨10.1016/j.physa.2015.08.011⟩
Physica A: Statistical Mechanics and its Applications, 2016, 443, pp.179-191. ⟨10.1016/j.physa.2015.08.011⟩
Physica A: Statistical Mechanics and its Applications, Elsevier, 2016, 443, pp.179-191. ⟨10.1016/j.physa.2015.08.011⟩
Physica A: Statistical Mechanics and its Applications, 2016, 443, pp.179-191. ⟨10.1016/j.physa.2015.08.011⟩
A new family of 2D discrete-time quantum walks (DTQWs) is presented and shown to coincide, in the continuous limit, with the Dirac dynamics of a spin 1/2 fermion coupled to a constant and uniform magnetic field. Landau levels are constructed, not onl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d076bccfcfbac89a983410a2dae86015
http://arxiv.org/abs/1412.4337
http://arxiv.org/abs/1412.4337