Zobrazeno 1 - 10
of 124
pro vyhledávání: '"Geib T"'
We provide an algorithm that factorizes one-dimensional quantum walks into a protocol of two basic operations: A fixed conditional shift that transports particles between cells and suitable coin operators that act locally in each cell. This allows to
Externí odkaz:
http://arxiv.org/abs/2102.12951
Publikováno v:
Annales Henri Poincar\'e (2021) 22: 375
We classify chiral symmetric periodically driven quantum systems on a one-dimensional lattice. The driving process is local, can be continuous or discrete in time, and we assume a gap condition for the corresponding Floquet operator. The analysis is
Externí odkaz:
http://arxiv.org/abs/2006.04634
Publikováno v:
Lett. Math. Phys. 2020
In this note, we consider a physical system given by a two-dimensional quantum walk in an external magnetic field. In this setup, we show that both the topological structure as well as its type depend sensitively on the value of the magnetic flux $\P
Externí odkaz:
http://arxiv.org/abs/1908.09924
Publikováno v:
Comm. Math. Phys. 389:31-74 (2022)
This paper uncovers and exploits a link between a central object in harmonic analysis, the so-called Schur functions, and the very hot topic of symmetry protected topological phases of quantum matter. This connection is found in the setting of quantu
Externí odkaz:
http://arxiv.org/abs/1903.07494
Publikováno v:
Journal of Mathematical Physics, Vol.60, Issue 1, 2019
Describing a particle in an external electromagnetic field is a basic task of quantum mechanics. The standard scheme for this is known as "minimal coupling", and consists of replacing the momentum operators in the Hamiltonian by modified ones with an
Externí odkaz:
http://arxiv.org/abs/1808.10850
Publikováno v:
Quantum 2, 95 (2018)
We provide a classification of translation invariant one-dimensional quantum walks with respect to continuous deformations preserving unitarity, locality, translation invariance, a gap condition, and some symmetry of the tenfold way. The classificati
Externí odkaz:
http://arxiv.org/abs/1804.04520
Autor:
Cedzich, C., Geib, T., Grünbaum, F. A., Stahl, C., Velázquez, L., Werner, A. H., Werner, R. F.
Publikováno v:
Annales Henri Poincare (2018) 19: 325
We give a topological classification of quantum walks on an infinite 1D lattice, which obey one of the discrete symmetry groups of the tenfold way, have a gap around some eigenvalues at symmetry protected points, and satisfy a mild locality condition
Externí odkaz:
http://arxiv.org/abs/1611.04439
Publikováno v:
Letters in Mathematical Physics. Oct2022, Vol. 112 Issue 5, p1-12. 12p.
Autor:
McAlindon, T.E. †, Schmidt, U. ‡, Bugarin, D. §, Abrams, S. §, Geib, T. §, DeGryse, R.E. §, Kim, K. §, Schnitzer, T.J. ‖
Publikováno v:
In Osteoarthritis and Cartilage October 2018 26(10):1291-1299
Autor:
Cedzich, C.1 (AUTHOR) cedzich@hhu.de, Geib, T.2 (AUTHOR), Grünbaum, F. A.3 (AUTHOR), Velázquez, L.4 (AUTHOR), Werner, A. H.5,6 (AUTHOR), Werner, R. F.2 (AUTHOR)
Publikováno v:
Communications in Mathematical Physics. Jan2022, Vol. 389 Issue 1, p31-74. 44p.